Determination of the top-quark pole mass and strong coupling constant from the bar production cross section in pp collisions at $\sqrt{s} = 7\TeV$
The inclusive cross section for top-quark pair production measured by the CMS experiment in proton-proton collisions at a center-of-mass energy of 7\TeV is compared to the QCD prediction at next-to-next-to-leading order with various parton distribution functions to determine the top-quark pole mass, \mtpole, or the strong coupling constant, $\alpha_S$. With the parton distribution function set NNPDF2.3, a pole mass of $176.7{}^{+3.0}_{-2.8}$\GeV is obtained when constraining $\alpha_S$ at the scale of the Z boson mass, \mZ, to the current world average. Alternatively, by constraining \mtpole to the latest average from direct mass measurements, a value of $\alpha_S (\mZ) = 0.1151 {}^{+0.0028}_{-0.0027}$ is extracted. This is the first determination of $\alpha_S$ using events from top-quark production.
TOP-12-022-authorlist.tex
\textbf{Yerevan Physics Institute,  Yerevan,  Armenia}\\*[0pt]
S.~Chatrchyan, V.~Khachatryan, A.M.~Sirunyan, A.~Tumasyan
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\textbf{Institut f\"{u}r Hochenergiephysik der OeAW,  Wien,  Austria}\\*[0pt]
W.~Adam, T.~Bergauer, M.~Dragicevic, J.~Er\"{o}, C.~Fabjan\cmsAuthorMark{1}, M.~Friedl, R.~Fr\"{u}hwirth\cmsAuthorMark{1}, V.M.~Ghete, N.~H\"{o}rmann, J.~Hrubec, M.~Jeitler\cmsAuthorMark{1}, W.~Kiesenhofer, V.~Kn\"{u}nz, M.~Krammer\cmsAuthorMark{1}, I.~Kr\"{a}tschmer, D.~Liko, I.~Mikulec, D.~Rabady\cmsAuthorMark{2}, B.~Rahbaran, C.~Rohringer, H.~Rohringer, R.~Sch\"{o}fbeck, J.~Strauss, A.~Taurok, W.~Treberer-Treberspurg, W.~Waltenberger, C.-E.~Wulz\cmsAuthorMark{1}
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\textbf{National Centre for Particle and High Energy Physics,  Minsk,  Belarus}\\*[0pt]
V.~Mossolov, N.~Shumeiko, J.~Suarez Gonzalez
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\textbf{Universiteit Antwerpen,  Antwerpen,  Belgium}\\*[0pt]
S.~Alderweireldt, M.~Bansal, S.~Bansal, T.~Cornelis, E.A.~De Wolf, X.~Janssen, A.~Knutsson, S.~Luyckx, L.~Mucibello, S.~Ochesanu, B.~Roland, R.~Rougny, Z.~Staykova, H.~Van Haevermaet, P.~Van Mechelen, N.~Van Remortel, A.~Van Spilbeeck
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\textbf{Vrije Universiteit Brussel,  Brussel,  Belgium}\\*[0pt]
F.~Blekman, S.~Blyweert, J.~D'Hondt, A.~Kalogeropoulos, J.~Keaveney, M.~Maes, A.~Olbrechts, S.~Tavernier, W.~Van Doninck, P.~Van Mulders, G.P.~Van Onsem, I.~Villella
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\textbf{Universit\'{e}~Libre de Bruxelles,  Bruxelles,  Belgium}\\*[0pt]
B.~Clerbaux, G.~De Lentdecker, L.~Favart, A.P.R.~Gay, T.~Hreus, A.~L\'{e}onard, P.E.~Marage, A.~Mohammadi, L.~Perni\`{e}, T.~Reis, T.~Seva, L.~Thomas, C.~Vander Velde, P.~Vanlaer, J.~Wang
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\textbf{Ghent University,  Ghent,  Belgium}\\*[0pt]
V.~Adler, K.~Beernaert, L.~Benucci, A.~Cimmino, S.~Costantini, S.~Dildick, G.~Garcia, B.~Klein, J.~Lellouch, A.~Marinov, J.~Mccartin, A.A.~Ocampo Rios, D.~Ryckbosch, M.~Sigamani, N.~Strobbe, F.~Thyssen, M.~Tytgat, S.~Walsh, E.~Yazgan, N.~Zaganidis
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\textbf{Universit\'{e}~Catholique de Louvain,  Louvain-la-Neuve,  Belgium}\\*[0pt]
S.~Basegmez, C.~Beluffi\cmsAuthorMark{3}, G.~Bruno, R.~Castello, A.~Caudron, L.~Ceard, C.~Delaere, T.~du Pree, D.~Favart, L.~Forthomme, A.~Giammanco\cmsAuthorMark{4}, J.~Hollar, P.~Jez, V.~Lemaitre, J.~Liao, O.~Militaru, C.~Nuttens, D.~Pagano, A.~Pin, K.~Piotrzkowski, A.~Popov\cmsAuthorMark{5}, M.~Selvaggi, J.M.~Vizan Garcia
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\textbf{Universit\'{e}~de Mons,  Mons,  Belgium}\\*[0pt]
N.~Beliy, T.~Caebergs, E.~Daubie, G.H.~Hammad
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\textbf{Centro Brasileiro de Pesquisas Fisicas,  Rio de Janeiro,  Brazil}\\*[0pt]
G.A.~Alves, M.~Correa Martins Junior, T.~Martins, M.E.~Pol, M.H.G.~Souza
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\textbf{Universidade do Estado do Rio de Janeiro,  Rio de Janeiro,  Brazil}\\*[0pt]
W.L.~Ald\'{a}~J\'{u}nior, W.~Carvalho, J.~Chinellato\cmsAuthorMark{6}, A.~Cust\'{o}dio, E.M.~Da Costa, D.~De Jesus Damiao, C.~De Oliveira Martins, S.~Fonseca De Souza, H.~Malbouisson, M.~Malek, D.~Matos Figueiredo, L.~Mundim, H.~Nogima, W.L.~Prado Da Silva, A.~Santoro, A.~Sznajder, E.J.~Tonelli Manganote\cmsAuthorMark{6}, A.~Vilela Pereira
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\textbf{Universidade Estadual Paulista~$^{a}$, ~Universidade Federal do ABC~$^{b}$, ~S\~{a}o Paulo,  Brazil}\\*[0pt]
C.A.~Bernardes$^{b}$, F.A.~Dias$^{a}$$^{, }$\cmsAuthorMark{7}, T.R.~Fernandez Perez Tomei$^{a}$, E.M.~Gregores$^{b}$, C.~Lagana$^{a}$, P.G.~Mercadante$^{b}$, S.F.~Novaes$^{a}$, Sandra S.~Padula$^{a}$
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\textbf{Institute for Nuclear Research and Nuclear Energy,  Sofia,  Bulgaria}\\*[0pt]
V.~Genchev\cmsAuthorMark{2}, P.~Iaydjiev\cmsAuthorMark{2}, S.~Piperov, M.~Rodozov, G.~Sultanov, M.~Vutova
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\textbf{University of Sofia,  Sofia,  Bulgaria}\\*[0pt]
A.~Dimitrov, R.~Hadjiiska, V.~Kozhuharov, L.~Litov, B.~Pavlov, P.~Petkov
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\textbf{Institute of High Energy Physics,  Beijing,  China}\\*[0pt]
J.G.~Bian, G.M.~Chen, H.S.~Chen, C.H.~Jiang, D.~Liang, S.~Liang, X.~Meng, J.~Tao, J.~Wang, X.~Wang, Z.~Wang, H.~Xiao, M.~Xu
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\textbf{State Key Laboratory of Nuclear Physics and Technology,  Peking University,  Beijing,  China}\\*[0pt]
C.~Asawatangtrakuldee, Y.~Ban, Y.~Guo, Q.~Li, W.~Li, S.~Liu, Y.~Mao, S.J.~Qian, D.~Wang, L.~Zhang, W.~Zou
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\textbf{Universidad de Los Andes,  Bogota,  Colombia}\\*[0pt]
C.~Avila, C.A.~Carrillo Montoya, L.F.~Chaparro Sierra, J.P.~Gomez, B.~Gomez Moreno, J.C.~Sanabria
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\textbf{Technical University of Split,  Split,  Croatia}\\*[0pt]
N.~Godinovic, D.~Lelas, R.~Plestina\cmsAuthorMark{8}, D.~Polic, I.~Puljak
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\textbf{University of Split,  Split,  Croatia}\\*[0pt]
Z.~Antunovic, M.~Kovac
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\textbf{Institute Rudjer Boskovic,  Zagreb,  Croatia}\\*[0pt]
V.~Brigljevic, S.~Duric, K.~Kadija, J.~Luetic, D.~Mekterovic, S.~Morovic, L.~Tikvica
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\textbf{University of Cyprus,  Nicosia,  Cyprus}\\*[0pt]
A.~Attikis, G.~Mavromanolakis, J.~Mousa, C.~Nicolaou, F.~Ptochos, P.A.~Razis
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\textbf{Charles University,  Prague,  Czech Republic}\\*[0pt]
M.~Finger, M.~Finger Jr.
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\textbf{Academy of Scientific Research and Technology of the Arab Republic of Egypt,  Egyptian Network of High Energy Physics,  Cairo,  Egypt}\\*[0pt]
A.A.~Abdelalim\cmsAuthorMark{9}, Y.~Assran\cmsAuthorMark{10}, S.~Elgammal\cmsAuthorMark{9}, A.~Ellithi Kamel\cmsAuthorMark{11}, M.A.~Mahmoud\cmsAuthorMark{12}, A.~Radi\cmsAuthorMark{13}$^{, }$\cmsAuthorMark{14}
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\textbf{National Institute of Chemical Physics and Biophysics,  Tallinn,  Estonia}\\*[0pt]
M.~Kadastik, M.~M\"{u}ntel, M.~Murumaa, M.~Raidal, L.~Rebane, A.~Tiko
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\textbf{Department of Physics,  University of Helsinki,  Helsinki,  Finland}\\*[0pt]
P.~Eerola, G.~Fedi, M.~Voutilainen
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\textbf{Helsinki Institute of Physics,  Helsinki,  Finland}\\*[0pt]
J.~H\"{a}rk\"{o}nen, V.~Karim\"{a}ki, R.~Kinnunen, M.J.~Kortelainen, T.~Lamp\'{e}n, K.~Lassila-Perini, S.~Lehti, T.~Lind\'{e}n, P.~Luukka, T.~M\"{a}enp\"{a}\"{a}, T.~Peltola, E.~Tuominen, J.~Tuominiemi, E.~Tuovinen, L.~Wendland
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\textbf{Lappeenranta University of Technology,  Lappeenranta,  Finland}\\*[0pt]
T.~Tuuva
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\textbf{DSM/IRFU,  CEA/Saclay,  Gif-sur-Yvette,  France}\\*[0pt]
M.~Besancon, F.~Couderc, M.~Dejardin, D.~Denegri, B.~Fabbro, J.L.~Faure, F.~Ferri, S.~Ganjour, A.~Givernaud, P.~Gras, G.~Hamel de Monchenault, P.~Jarry, E.~Locci, J.~Malcles, L.~Millischer, A.~Nayak, J.~Rander, A.~Rosowsky, M.~Titov
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\textbf{Laboratoire Leprince-Ringuet,  Ecole Polytechnique,  IN2P3-CNRS,  Palaiseau,  France}\\*[0pt]
S.~Baffioni, F.~Beaudette, L.~Benhabib, M.~Bluj\cmsAuthorMark{15}, P.~Busson, C.~Charlot, N.~Daci, T.~Dahms, M.~Dalchenko, L.~Dobrzynski, A.~Florent, R.~Granier de Cassagnac, M.~Haguenauer, P.~Min\'{e}, C.~Mironov, I.N.~Naranjo, M.~Nguyen, C.~Ochando, P.~Paganini, D.~Sabes, R.~Salerno, Y.~Sirois, C.~Veelken, A.~Zabi
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\textbf{Institut Pluridisciplinaire Hubert Curien,  Universit\'{e}~de Strasbourg,  Universit\'{e}~de Haute Alsace Mulhouse,  CNRS/IN2P3,  Strasbourg,  France}\\*[0pt]
J.-L.~Agram\cmsAuthorMark{16}, J.~Andrea, D.~Bloch, J.-M.~Brom, E.C.~Chabert, C.~Collard, E.~Conte\cmsAuthorMark{16}, F.~Drouhin\cmsAuthorMark{16}, J.-C.~Fontaine\cmsAuthorMark{16}, D.~Gel\'{e}, U.~Goerlach, C.~Goetzmann, P.~Juillot, A.-C.~Le Bihan, P.~Van Hove
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\textbf{Centre de Calcul de l'Institut National de Physique Nucleaire et de Physique des Particules,  CNRS/IN2P3,  Villeurbanne,  France}\\*[0pt]
S.~Gadrat
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\textbf{Universit\'{e}~de Lyon,  Universit\'{e}~Claude Bernard Lyon 1, ~CNRS-IN2P3,  Institut de Physique Nucl\'{e}aire de Lyon,  Villeurbanne,  France}\\*[0pt]
S.~Beauceron, N.~Beaupere, G.~Boudoul, S.~Brochet, J.~Chasserat, R.~Chierici, D.~Contardo, P.~Depasse, H.~El Mamouni, J.~Fay, S.~Gascon, M.~Gouzevitch, B.~Ille, T.~Kurca, M.~Lethuillier, L.~Mirabito, S.~Perries, L.~Sgandurra, V.~Sordini, Y.~Tschudi, M.~Vander Donckt, P.~Verdier, S.~Viret
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\textbf{Institute of High Energy Physics and Informatization,  Tbilisi State University,  Tbilisi,  Georgia}\\*[0pt]
Z.~Tsamalaidze\cmsAuthorMark{17}
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\textbf{RWTH Aachen University,  I.~Physikalisches Institut,  Aachen,  Germany}\\*[0pt]
C.~Autermann, S.~Beranek, B.~Calpas, M.~Edelhoff, L.~Feld, N.~Heracleous, O.~Hindrichs, K.~Klein, A.~Ostapchuk, A.~Perieanu, F.~Raupach, J.~Sammet, S.~Schael, D.~Sprenger, H.~Weber, B.~Wittmer, V.~Zhukov\cmsAuthorMark{5}
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\textbf{RWTH Aachen University,  III.~Physikalisches Institut A, ~Aachen,  Germany}\\*[0pt]
M.~Ata, J.~Caudron, E.~Dietz-Laursonn, D.~Duchardt, M.~Erdmann, R.~Fischer, A.~G\"{u}th, T.~Hebbeker, C.~Heidemann, K.~Hoepfner, D.~Klingebiel, P.~Kreuzer, M.~Merschmeyer, A.~Meyer, M.~Olschewski, K.~Padeken, P.~Papacz, H.~Pieta, H.~Reithler, S.A.~Schmitz, L.~Sonnenschein, J.~Steggemann, D.~Teyssier, S.~Th\"{u}er, M.~Weber
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\textbf{RWTH Aachen University,  III.~Physikalisches Institut B, ~Aachen,  Germany}\\*[0pt]
V.~Cherepanov, Y.~Erdogan, G.~Fl\"{u}gge, H.~Geenen, M.~Geisler, W.~Haj Ahmad, F.~Hoehle, B.~Kargoll, T.~Kress, Y.~Kuessel, J.~Lingemann\cmsAuthorMark{2}, A.~Nowack, I.M.~Nugent, L.~Perchalla, O.~Pooth, A.~Stahl
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\textbf{Deutsches Elektronen-Synchrotron,  Hamburg,  Germany}\\*[0pt]
M.~Aldaya Martin, I.~Asin, N.~Bartosik, J.~Behr, W.~Behrenhoff, U.~Behrens, M.~Bergholz\cmsAuthorMark{18}, A.~Bethani, K.~Borras, A.~Burgmeier, A.~Cakir, L.~Calligaris, A.~Campbell, S.~Choudhury, F.~Costanza, C.~Diez Pardos, S.~Dooling, T.~Dorland, G.~Eckerlin, D.~Eckstein, G.~Flucke, A.~Geiser, I.~Glushkov, P.~Gunnellini, S.~Habib, J.~Hauk, G.~Hellwig, D.~Horton, H.~Jung, M.~Kasemann, P.~Katsas, C.~Kleinwort, H.~Kluge, M.~Kr\"{a}mer, D.~Kr\"{u}cker, E.~Kuznetsova, W.~Lange, J.~Leonard, K.~Lipka, W.~Lohmann\cmsAuthorMark{18}, B.~Lutz, R.~Mankel, I.~Marfin, I.-A.~Melzer-Pellmann, A.B.~Meyer, J.~Mnich, A.~Mussgiller, S.~Naumann-Emme, O.~Novgorodova, F.~Nowak, J.~Olzem, H.~Perrey, A.~Petrukhin, D.~Pitzl, R.~Placakyte, A.~Raspereza, P.M.~Ribeiro Cipriano, C.~Riedl, E.~Ron, M.\"{O}.~Sahin, J.~Salfeld-Nebgen, R.~Schmidt\cmsAuthorMark{18}, T.~Schoerner-Sadenius, N.~Sen, M.~Stein, R.~Walsh, C.~Wissing
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\textbf{University of Hamburg,  Hamburg,  Germany}\\*[0pt]
V.~Blobel, H.~Enderle, J.~Erfle, E.~Garutti, U.~Gebbert, M.~G\"{o}rner, M.~Gosselink, J.~Haller, K.~Heine, R.S.~H\"{o}ing, G.~Kaussen, H.~Kirschenmann, R.~Klanner, R.~Kogler, J.~Lange, I.~Marchesini, T.~Peiffer, N.~Pietsch, D.~Rathjens, C.~Sander, H.~Schettler, P.~Schleper, E.~Schlieckau, A.~Schmidt, M.~Schr\"{o}der, T.~Schum, M.~Seidel, J.~Sibille\cmsAuthorMark{19}, V.~Sola, H.~Stadie, G.~Steinbr\"{u}ck, J.~Thomsen, D.~Troendle, E.~Usai, L.~Vanelderen
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\textbf{Institut f\"{u}r Experimentelle Kernphysik,  Karlsruhe,  Germany}\\*[0pt]
C.~Barth, C.~Baus, J.~Berger, C.~B\"{o}ser, E.~Butz, T.~Chwalek, W.~De Boer, A.~Descroix, A.~Dierlamm, M.~Feindt, M.~Guthoff\cmsAuthorMark{2}, F.~Hartmann\cmsAuthorMark{2}, T.~Hauth\cmsAuthorMark{2}, H.~Held, K.H.~Hoffmann, U.~Husemann, I.~Katkov\cmsAuthorMark{5}, J.R.~Komaragiri, A.~Kornmayer\cmsAuthorMark{2}, P.~Lobelle Pardo, D.~Martschei, Th.~M\"{u}ller, M.~Niegel, A.~N\"{u}rnberg, O.~Oberst, J.~Ott, G.~Quast, K.~Rabbertz, F.~Ratnikov, S.~R\"{o}cker, F.-P.~Schilling, G.~Schott, H.J.~Simonis, F.M.~Stober, R.~Ulrich, J.~Wagner-Kuhr, S.~Wayand, T.~Weiler, M.~Zeise
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\textbf{Institute of Nuclear and Particle Physics~(INPP), ~NCSR Demokritos,  Aghia Paraskevi,  Greece}\\*[0pt]
G.~Anagnostou, G.~Daskalakis, T.~Geralis, S.~Kesisoglou, A.~Kyriakis, D.~Loukas, A.~Markou, C.~Markou, E.~Ntomari
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\textbf{University of Athens,  Athens,  Greece}\\*[0pt]
L.~Gouskos, A.~Panagiotou, N.~Saoulidou, E.~Stiliaris
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\textbf{University of Io\'{a}nnina,  Io\'{a}nnina,  Greece}\\*[0pt]
X.~Aslanoglou, I.~Evangelou, G.~Flouris, C.~Foudas, P.~Kokkas, N.~Manthos, I.~Papadopoulos, E.~Paradas
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\textbf{KFKI Research Institute for Particle and Nuclear Physics,  Budapest,  Hungary}\\*[0pt]
G.~Bencze, C.~Hajdu, P.~Hidas, D.~Horvath\cmsAuthorMark{20}, F.~Sikler, V.~Veszpremi, G.~Vesztergombi\cmsAuthorMark{21}, A.J.~Zsigmond
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\textbf{Institute of Nuclear Research ATOMKI,  Debrecen,  Hungary}\\*[0pt]
N.~Beni, S.~Czellar, J.~Molnar, J.~Palinkas, Z.~Szillasi
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\textbf{University of Debrecen,  Debrecen,  Hungary}\\*[0pt]
J.~Karancsi, P.~Raics, Z.L.~Trocsanyi, B.~Ujvari
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\textbf{National Institute of Science Education and Research,  Bhubaneswar,  India}\\*[0pt]
S.K.~Swain\cmsAuthorMark{22}
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\textbf{Panjab University,  Chandigarh,  India}\\*[0pt]
S.B.~Beri, V.~Bhatnagar, N.~Dhingra, R.~Gupta, M.~Kaur, M.Z.~Mehta, M.~Mittal, N.~Nishu, L.K.~Saini, A.~Sharma, J.B.~Singh
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\textbf{University of Delhi,  Delhi,  India}\\*[0pt]
Ashok Kumar, Arun Kumar, S.~Ahuja, A.~Bhardwaj, B.C.~Choudhary, S.~Malhotra, M.~Naimuddin, K.~Ranjan, P.~Saxena, V.~Sharma, R.K.~Shivpuri
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\textbf{Saha Institute of Nuclear Physics,  Kolkata,  India}\\*[0pt]
S.~Banerjee, S.~Bhattacharya, K.~Chatterjee, S.~Dutta, B.~Gomber, Sa.~Jain, Sh.~Jain, R.~Khurana, A.~Modak, S.~Mukherjee, D.~Roy, S.~Sarkar, M.~Sharan
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\textbf{Bhabha Atomic Research Centre,  Mumbai,  India}\\*[0pt]
A.~Abdulsalam, D.~Dutta, S.~Kailas, V.~Kumar, A.K.~Mohanty\cmsAuthorMark{2}, L.M.~Pant, P.~Shukla, A.~Topkar
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\textbf{Tata Institute of Fundamental Research~-~EHEP,  Mumbai,  India}\\*[0pt]
T.~Aziz, R.M.~Chatterjee, S.~Ganguly, S.~Ghosh, M.~Guchait\cmsAuthorMark{23}, A.~Gurtu\cmsAuthorMark{24}, G.~Kole, S.~Kumar, M.~Maity\cmsAuthorMark{25}, G.~Majumder, K.~Mazumdar, G.B.~Mohanty, B.~Parida, K.~Sudhakar, N.~Wickramage\cmsAuthorMark{26}
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\textbf{Tata Institute of Fundamental Research~-~HECR,  Mumbai,  India}\\*[0pt]
S.~Banerjee, S.~Dugad
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\textbf{Institute for Research in Fundamental Sciences~(IPM), ~Tehran,  Iran}\\*[0pt]
H.~Arfaei, H.~Bakhshiansohi, S.M.~Etesami\cmsAuthorMark{27}, A.~Fahim\cmsAuthorMark{28}, A.~Jafari, M.~Khakzad, M.~Mohammadi Najafabadi, S.~Paktinat Mehdiabadi, B.~Safarzadeh\cmsAuthorMark{29}, M.~Zeinali
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\textbf{University College Dublin,  Dublin,  Ireland}\\*[0pt]
M.~Grunewald
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\textbf{INFN Sezione di Bari~$^{a}$, Universit\`{a}~di Bari~$^{b}$, Politecnico di Bari~$^{c}$, ~Bari,  Italy}\\*[0pt]
M.~Abbrescia$^{a}$$^{, }$$^{b}$, L.~Barbone$^{a}$$^{, }$$^{b}$, C.~Calabria$^{a}$$^{, }$$^{b}$, S.S.~Chhibra$^{a}$$^{, }$$^{b}$, A.~Colaleo$^{a}$, D.~Creanza$^{a}$$^{, }$$^{c}$, N.~De Filippis$^{a}$$^{, }$$^{c}$, M.~De Palma$^{a}$$^{, }$$^{b}$, L.~Fiore$^{a}$, G.~Iaselli$^{a}$$^{, }$$^{c}$, G.~Maggi$^{a}$$^{, }$$^{c}$, M.~Maggi$^{a}$, B.~Marangelli$^{a}$$^{, }$$^{b}$, S.~My$^{a}$$^{, }$$^{c}$, S.~Nuzzo$^{a}$$^{, }$$^{b}$, N.~Pacifico$^{a}$, A.~Pompili$^{a}$$^{, }$$^{b}$, G.~Pugliese$^{a}$$^{, }$$^{c}$, G.~Selvaggi$^{a}$$^{, }$$^{b}$, L.~Silvestris$^{a}$, G.~Singh$^{a}$$^{, }$$^{b}$, R.~Venditti$^{a}$$^{, }$$^{b}$, P.~Verwilligen$^{a}$, G.~Zito$^{a}$
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\textbf{INFN Sezione di Bologna~$^{a}$, Universit\`{a}~di Bologna~$^{b}$, ~Bologna,  Italy}\\*[0pt]
G.~Abbiendi$^{a}$, A.C.~Benvenuti$^{a}$, D.~Bonacorsi$^{a}$$^{, }$$^{b}$, S.~Braibant-Giacomelli$^{a}$$^{, }$$^{b}$, L.~Brigliadori$^{a}$$^{, }$$^{b}$, R.~Campanini$^{a}$$^{, }$$^{b}$, P.~Capiluppi$^{a}$$^{, }$$^{b}$, A.~Castro$^{a}$$^{, }$$^{b}$, F.R.~Cavallo$^{a}$, G.~Codispoti$^{a}$$^{, }$$^{b}$, M.~Cuffiani$^{a}$$^{, }$$^{b}$, G.M.~Dallavalle$^{a}$, F.~Fabbri$^{a}$, A.~Fanfani$^{a}$$^{, }$$^{b}$, D.~Fasanella$^{a}$$^{, }$$^{b}$, P.~Giacomelli$^{a}$, C.~Grandi$^{a}$, L.~Guiducci$^{a}$$^{, }$$^{b}$, S.~Marcellini$^{a}$, G.~Masetti$^{a}$, M.~Meneghelli$^{a}$$^{, }$$^{b}$, A.~Montanari$^{a}$, F.L.~Navarria$^{a}$$^{, }$$^{b}$, F.~Odorici$^{a}$, A.~Perrotta$^{a}$, F.~Primavera$^{a}$$^{, }$$^{b}$, A.M.~Rossi$^{a}$$^{, }$$^{b}$, T.~Rovelli$^{a}$$^{, }$$^{b}$, G.P.~Siroli$^{a}$$^{, }$$^{b}$, N.~Tosi$^{a}$$^{, }$$^{b}$, R.~Travaglini$^{a}$$^{, }$$^{b}$
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\textbf{INFN Sezione di Catania~$^{a}$, Universit\`{a}~di Catania~$^{b}$, ~Catania,  Italy}\\*[0pt]
S.~Albergo$^{a}$$^{, }$$^{b}$, M.~Chiorboli$^{a}$$^{, }$$^{b}$, S.~Costa$^{a}$$^{, }$$^{b}$, F.~Giordano$^{a}$$^{, }$\cmsAuthorMark{2}, R.~Potenza$^{a}$$^{, }$$^{b}$, A.~Tricomi$^{a}$$^{, }$$^{b}$, C.~Tuve$^{a}$$^{, }$$^{b}$
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\textbf{INFN Sezione di Firenze~$^{a}$, Universit\`{a}~di Firenze~$^{b}$, ~Firenze,  Italy}\\*[0pt]
G.~Barbagli$^{a}$, V.~Ciulli$^{a}$$^{, }$$^{b}$, C.~Civinini$^{a}$, R.~D'Alessandro$^{a}$$^{, }$$^{b}$, E.~Focardi$^{a}$$^{, }$$^{b}$, S.~Frosali$^{a}$$^{, }$$^{b}$, E.~Gallo$^{a}$, S.~Gonzi$^{a}$$^{, }$$^{b}$, V.~Gori$^{a}$$^{, }$$^{b}$, P.~Lenzi$^{a}$$^{, }$$^{b}$, M.~Meschini$^{a}$, S.~Paoletti$^{a}$, G.~Sguazzoni$^{a}$, A.~Tropiano$^{a}$$^{, }$$^{b}$
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\textbf{INFN Laboratori Nazionali di Frascati,  Frascati,  Italy}\\*[0pt]
L.~Benussi, S.~Bianco, F.~Fabbri, D.~Piccolo
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\textbf{INFN Sezione di Genova~$^{a}$, Universit\`{a}~di Genova~$^{b}$, ~Genova,  Italy}\\*[0pt]
P.~Fabbricatore$^{a}$, R.~Musenich$^{a}$, S.~Tosi$^{a}$$^{, }$$^{b}$
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\textbf{INFN Sezione di Milano-Bicocca~$^{a}$, Universit\`{a}~di Milano-Bicocca~$^{b}$, ~Milano,  Italy}\\*[0pt]
A.~Benaglia$^{a}$, F.~De Guio$^{a}$$^{, }$$^{b}$, M.E.~Dinardo, S.~Fiorendi$^{a}$$^{, }$$^{b}$, S.~Gennai$^{a}$, A.~Ghezzi$^{a}$$^{, }$$^{b}$, P.~Govoni, M.T.~Lucchini\cmsAuthorMark{2}, S.~Malvezzi$^{a}$, R.A.~Manzoni$^{a}$$^{, }$$^{b}$$^{, }$\cmsAuthorMark{2}, A.~Martelli$^{a}$$^{, }$$^{b}$$^{, }$\cmsAuthorMark{2}, D.~Menasce$^{a}$, L.~Moroni$^{a}$, M.~Paganoni$^{a}$$^{, }$$^{b}$, D.~Pedrini$^{a}$, S.~Ragazzi$^{a}$$^{, }$$^{b}$, N.~Redaelli$^{a}$, T.~Tabarelli de Fatis$^{a}$$^{, }$$^{b}$
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\textbf{INFN Sezione di Napoli~$^{a}$, Universit\`{a}~di Napoli~'Federico II'~$^{b}$, Universit\`{a}~della Basilicata~(Potenza)~$^{c}$, Universit\`{a}~G.~Marconi~(Roma)~$^{d}$, ~Napoli,  Italy}\\*[0pt]
S.~Buontempo$^{a}$, N.~Cavallo$^{a}$$^{, }$$^{c}$, A.~De Cosa$^{a}$$^{, }$$^{b}$, F.~Fabozzi$^{a}$$^{, }$$^{c}$, A.O.M.~Iorio$^{a}$$^{, }$$^{b}$, L.~Lista$^{a}$, S.~Meola$^{a}$$^{, }$$^{d}$$^{, }$\cmsAuthorMark{2}, M.~Merola$^{a}$, P.~Paolucci$^{a}$$^{, }$\cmsAuthorMark{2}
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\textbf{INFN Sezione di Padova~$^{a}$, Universit\`{a}~di Padova~$^{b}$, Universit\`{a}~di Trento~(Trento)~$^{c}$, ~Padova,  Italy}\\*[0pt]
P.~Azzi$^{a}$, N.~Bacchetta$^{a}$, M.~Bellato$^{a}$, M.~Biasotto$^{a}$$^{, }$\cmsAuthorMark{30}, D.~Bisello$^{a}$$^{, }$$^{b}$, A.~Branca$^{a}$$^{, }$$^{b}$, R.~Carlin$^{a}$$^{, }$$^{b}$, P.~Checchia$^{a}$, T.~Dorigo$^{a}$, F.~Fanzago$^{a}$, M.~Galanti$^{a}$$^{, }$$^{b}$$^{, }$\cmsAuthorMark{2}, F.~Gasparini$^{a}$$^{, }$$^{b}$, U.~Gasparini$^{a}$$^{, }$$^{b}$, P.~Giubilato$^{a}$$^{, }$$^{b}$, A.~Gozzelino$^{a}$, K.~Kanishchev$^{a}$$^{, }$$^{c}$, S.~Lacaprara$^{a}$, I.~Lazzizzera$^{a}$$^{, }$$^{c}$, M.~Margoni$^{a}$$^{, }$$^{b}$, A.T.~Meneguzzo$^{a}$$^{, }$$^{b}$, J.~Pazzini$^{a}$$^{, }$$^{b}$, N.~Pozzobon$^{a}$$^{, }$$^{b}$, P.~Ronchese$^{a}$$^{, }$$^{b}$, F.~Simonetto$^{a}$$^{, }$$^{b}$, E.~Torassa$^{a}$, M.~Tosi$^{a}$$^{, }$$^{b}$, A.~Triossi$^{a}$, S.~Ventura$^{a}$, P.~Zotto$^{a}$$^{, }$$^{b}$, A.~Zucchetta$^{a}$$^{, }$$^{b}$, G.~Zumerle$^{a}$$^{, }$$^{b}$
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\textbf{INFN Sezione di Pavia~$^{a}$, Universit\`{a}~di Pavia~$^{b}$, ~Pavia,  Italy}\\*[0pt]
M.~Gabusi$^{a}$$^{, }$$^{b}$, S.P.~Ratti$^{a}$$^{, }$$^{b}$, C.~Riccardi$^{a}$$^{, }$$^{b}$, P.~Vitulo$^{a}$$^{, }$$^{b}$
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\textbf{INFN Sezione di Perugia~$^{a}$, Universit\`{a}~di Perugia~$^{b}$, ~Perugia,  Italy}\\*[0pt]
M.~Biasini$^{a}$$^{, }$$^{b}$, G.M.~Bilei$^{a}$, L.~Fan\`{o}$^{a}$$^{, }$$^{b}$, P.~Lariccia$^{a}$$^{, }$$^{b}$, G.~Mantovani$^{a}$$^{, }$$^{b}$, M.~Menichelli$^{a}$, A.~Nappi$^{a}$$^{, }$$^{b}$$^{\textrm{\dag}}$, F.~Romeo$^{a}$$^{, }$$^{b}$, A.~Saha$^{a}$, A.~Santocchia$^{a}$$^{, }$$^{b}$, A.~Spiezia$^{a}$$^{, }$$^{b}$
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\textbf{INFN Sezione di Pisa~$^{a}$, Universit\`{a}~di Pisa~$^{b}$, Scuola Normale Superiore di Pisa~$^{c}$, ~Pisa,  Italy}\\*[0pt]
K.~Androsov$^{a}$$^{, }$\cmsAuthorMark{31}, P.~Azzurri$^{a}$, G.~Bagliesi$^{a}$, J.~Bernardini$^{a}$, T.~Boccali$^{a}$, G.~Broccolo$^{a}$$^{, }$$^{c}$, R.~Castaldi$^{a}$, M.A.~Ciocci$^{a}$, R.T.~D'Agnolo$^{a}$$^{, }$$^{c}$$^{, }$\cmsAuthorMark{2}, R.~Dell'Orso$^{a}$, F.~Fiori$^{a}$$^{, }$$^{c}$, L.~Fo\`{a}$^{a}$$^{, }$$^{c}$, A.~Giassi$^{a}$, M.T.~Grippo$^{a}$$^{, }$\cmsAuthorMark{31}, A.~Kraan$^{a}$, F.~Ligabue$^{a}$$^{, }$$^{c}$, T.~Lomtadze$^{a}$, L.~Martini$^{a}$$^{, }$\cmsAuthorMark{31}, A.~Messineo$^{a}$$^{, }$$^{b}$, F.~Palla$^{a}$, A.~Rizzi$^{a}$$^{, }$$^{b}$, A.~Savoy-Navarro$^{a}$$^{, }$\cmsAuthorMark{32}, A.T.~Serban$^{a}$, P.~Spagnolo$^{a}$, P.~Squillacioti$^{a}$, R.~Tenchini$^{a}$, G.~Tonelli$^{a}$$^{, }$$^{b}$, A.~Venturi$^{a}$, P.G.~Verdini$^{a}$, C.~Vernieri$^{a}$$^{, }$$^{c}$
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\textbf{INFN Sezione di Roma~$^{a}$, Universit\`{a}~di Roma~$^{b}$, ~Roma,  Italy}\\*[0pt]
L.~Barone$^{a}$$^{, }$$^{b}$, F.~Cavallari$^{a}$, D.~Del Re$^{a}$$^{, }$$^{b}$, M.~Diemoz$^{a}$, M.~Grassi$^{a}$$^{, }$$^{b}$, E.~Longo$^{a}$$^{, }$$^{b}$, F.~Margaroli$^{a}$$^{, }$$^{b}$, P.~Meridiani$^{a}$, F.~Micheli$^{a}$$^{, }$$^{b}$, S.~Nourbakhsh$^{a}$$^{, }$$^{b}$, G.~Organtini$^{a}$$^{, }$$^{b}$, R.~Paramatti$^{a}$, S.~Rahatlou$^{a}$$^{, }$$^{b}$, C.~Rovelli$^{a}$, L.~Soffi$^{a}$$^{, }$$^{b}$
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\textbf{INFN Sezione di Torino~$^{a}$, Universit\`{a}~di Torino~$^{b}$, Universit\`{a}~del Piemonte Orientale~(Novara)~$^{c}$, ~Torino,  Italy}\\*[0pt]
N.~Amapane$^{a}$$^{, }$$^{b}$, R.~Arcidiacono$^{a}$$^{, }$$^{c}$, S.~Argiro$^{a}$$^{, }$$^{b}$, M.~Arneodo$^{a}$$^{, }$$^{c}$, C.~Biino$^{a}$, N.~Cartiglia$^{a}$, S.~Casasso$^{a}$$^{, }$$^{b}$, M.~Costa$^{a}$$^{, }$$^{b}$, N.~Demaria$^{a}$, C.~Mariotti$^{a}$, S.~Maselli$^{a}$, E.~Migliore$^{a}$$^{, }$$^{b}$, V.~Monaco$^{a}$$^{, }$$^{b}$, M.~Musich$^{a}$, M.M.~Obertino$^{a}$$^{, }$$^{c}$, G.~Ortona$^{a}$$^{, }$$^{b}$, N.~Pastrone$^{a}$, M.~Pelliccioni$^{a}$$^{, }$\cmsAuthorMark{2}, A.~Potenza$^{a}$$^{, }$$^{b}$, A.~Romero$^{a}$$^{, }$$^{b}$, M.~Ruspa$^{a}$$^{, }$$^{c}$, R.~Sacchi$^{a}$$^{, }$$^{b}$, A.~Solano$^{a}$$^{, }$$^{b}$, A.~Staiano$^{a}$, U.~Tamponi$^{a}$
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\textbf{INFN Sezione di Trieste~$^{a}$, Universit\`{a}~di Trieste~$^{b}$, ~Trieste,  Italy}\\*[0pt]
S.~Belforte$^{a}$, V.~Candelise$^{a}$$^{, }$$^{b}$, M.~Casarsa$^{a}$, F.~Cossutti$^{a}$$^{, }$\cmsAuthorMark{2}, G.~Della Ricca$^{a}$$^{, }$$^{b}$, B.~Gobbo$^{a}$, C.~La Licata$^{a}$$^{, }$$^{b}$, M.~Marone$^{a}$$^{, }$$^{b}$, D.~Montanino$^{a}$$^{, }$$^{b}$, A.~Penzo$^{a}$, A.~Schizzi$^{a}$$^{, }$$^{b}$, A.~Zanetti$^{a}$
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\textbf{Kangwon National University,  Chunchon,  Korea}\\*[0pt]
S.~Chang, T.Y.~Kim, S.K.~Nam
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\textbf{Kyungpook National University,  Daegu,  Korea}\\*[0pt]
D.H.~Kim, G.N.~Kim, J.E.~Kim, D.J.~Kong, Y.D.~Oh, H.~Park, D.C.~Son
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\textbf{Chonnam National University,  Institute for Universe and Elementary Particles,  Kwangju,  Korea}\\*[0pt]
J.Y.~Kim, Zero J.~Kim, S.~Song
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\textbf{Korea University,  Seoul,  Korea}\\*[0pt]
S.~Choi, D.~Gyun, B.~Hong, M.~Jo, H.~Kim, T.J.~Kim, K.S.~Lee, S.K.~Park, Y.~Roh
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\textbf{University of Seoul,  Seoul,  Korea}\\*[0pt]
M.~Choi, J.H.~Kim, C.~Park, I.C.~Park, S.~Park, G.~Ryu
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\textbf{Sungkyunkwan University,  Suwon,  Korea}\\*[0pt]
Y.~Choi, Y.K.~Choi, J.~Goh, M.S.~Kim, E.~Kwon, B.~Lee, J.~Lee, S.~Lee, H.~Seo, I.~Yu
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\textbf{Vilnius University,  Vilnius,  Lithuania}\\*[0pt]
I.~Grigelionis, A.~Juodagalvis
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\textbf{Centro de Investigacion y~de Estudios Avanzados del IPN,  Mexico City,  Mexico}\\*[0pt]
H.~Castilla-Valdez, E.~De La Cruz-Burelo, I.~Heredia-de La Cruz\cmsAuthorMark{33}, R.~Lopez-Fernandez, J.~Mart\'{i}nez-Ortega, A.~Sanchez-Hernandez, L.M.~Villasenor-Cendejas
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\textbf{Universidad Iberoamericana,  Mexico City,  Mexico}\\*[0pt]
S.~Carrillo Moreno, F.~Vazquez Valencia
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\textbf{Benemerita Universidad Autonoma de Puebla,  Puebla,  Mexico}\\*[0pt]
H.A.~Salazar Ibarguen
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\textbf{Universidad Aut\'{o}noma de San Luis Potos\'{i}, ~San Luis Potos\'{i}, ~Mexico}\\*[0pt]
E.~Casimiro Linares, A.~Morelos Pineda, M.A.~Reyes-Santos
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\textbf{University of Auckland,  Auckland,  New Zealand}\\*[0pt]
D.~Krofcheck
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\textbf{University of Canterbury,  Christchurch,  New Zealand}\\*[0pt]
A.J.~Bell, P.H.~Butler, R.~Doesburg, S.~Reucroft, H.~Silverwood
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\textbf{National Centre for Physics,  Quaid-I-Azam University,  Islamabad,  Pakistan}\\*[0pt]
M.~Ahmad, M.I.~Asghar, J.~Butt, H.R.~Hoorani, S.~Khalid, W.A.~Khan, T.~Khurshid, S.~Qazi, M.A.~Shah, M.~Shoaib
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\textbf{National Centre for Nuclear Research,  Swierk,  Poland}\\*[0pt]
H.~Bialkowska, B.~Boimska, T.~Frueboes, M.~G\'{o}rski, M.~Kazana, K.~Nawrocki, K.~Romanowska-Rybinska, M.~Szleper, G.~Wrochna, P.~Zalewski
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\textbf{Institute of Experimental Physics,  Faculty of Physics,  University of Warsaw,  Warsaw,  Poland}\\*[0pt]
G.~Brona, K.~Bunkowski, M.~Cwiok, W.~Dominik, K.~Doroba, A.~Kalinowski, M.~Konecki, J.~Krolikowski, M.~Misiura, W.~Wolszczak
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\textbf{Laborat\'{o}rio de Instrumenta\c{c}\~{a}o e~F\'{i}sica Experimental de Part\'{i}culas,  Lisboa,  Portugal}\\*[0pt]
N.~Almeida, P.~Bargassa, C.~Beir\~{a}o Da Cruz E~Silva, P.~Faccioli, P.G.~Ferreira Parracho, M.~Gallinaro, F.~Nguyen, J.~Rodrigues Antunes, J.~Seixas\cmsAuthorMark{2}, J.~Varela, P.~Vischia
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\textbf{Joint Institute for Nuclear Research,  Dubna,  Russia}\\*[0pt]
S.~Afanasiev, P.~Bunin, M.~Gavrilenko, I.~Golutvin, I.~Gorbunov, A.~Kamenev, V.~Karjavin, V.~Konoplyanikov, A.~Lanev, A.~Malakhov, V.~Matveev, P.~Moisenz, V.~Palichik, V.~Perelygin, S.~Shmatov, N.~Skatchkov, V.~Smirnov, A.~Zarubin
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\textbf{Petersburg Nuclear Physics Institute,  Gatchina~(St.~Petersburg), ~Russia}\\*[0pt]
S.~Evstyukhin, V.~Golovtsov, Y.~Ivanov, V.~Kim, P.~Levchenko, V.~Murzin, V.~Oreshkin, I.~Smirnov, V.~Sulimov, L.~Uvarov, S.~Vavilov, A.~Vorobyev, An.~Vorobyev
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\textbf{Institute for Nuclear Research,  Moscow,  Russia}\\*[0pt]
Yu.~Andreev, A.~Dermenev, S.~Gninenko, N.~Golubev, M.~Kirsanov, N.~Krasnikov, A.~Pashenkov, D.~Tlisov, A.~Toropin
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\textbf{Institute for Theoretical and Experimental Physics,  Moscow,  Russia}\\*[0pt]
V.~Epshteyn, M.~Erofeeva, V.~Gavrilov, N.~Lychkovskaya, V.~Popov, G.~Safronov, S.~Semenov, A.~Spiridonov, V.~Stolin, E.~Vlasov, A.~Zhokin
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\textbf{P.N.~Lebedev Physical Institute,  Moscow,  Russia}\\*[0pt]
V.~Andreev, M.~Azarkin, I.~Dremin, M.~Kirakosyan, A.~Leonidov, G.~Mesyats, S.V.~Rusakov, A.~Vinogradov
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\textbf{Skobeltsyn Institute of Nuclear Physics,  Lomonosov Moscow State University,  Moscow,  Russia}\\*[0pt]
A.~Belyaev, E.~Boos, V.~Bunichev, M.~Dubinin\cmsAuthorMark{7}, L.~Dudko, A.~Gribushin, V.~Klyukhin, O.~Kodolova, I.~Lokhtin, A.~Markina, S.~Obraztsov, M.~Perfilov, V.~Savrin, N.~Tsirova
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\textbf{State Research Center of Russian Federation,  Institute for High Energy Physics,  Protvino,  Russia}\\*[0pt]
I.~Azhgirey, I.~Bayshev, S.~Bitioukov, V.~Kachanov, A.~Kalinin, D.~Konstantinov, V.~Krychkine, V.~Petrov, R.~Ryutin, A.~Sobol, L.~Tourtchanovitch, S.~Troshin, N.~Tyurin, A.~Uzunian, A.~Volkov
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\textbf{University of Belgrade,  Faculty of Physics and Vinca Institute of Nuclear Sciences,  Belgrade,  Serbia}\\*[0pt]
P.~Adzic\cmsAuthorMark{34}, M.~Djordjevic, M.~Ekmedzic, D.~Krpic\cmsAuthorMark{34}, J.~Milosevic
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\textbf{Centro de Investigaciones Energ\'{e}ticas Medioambientales y~Tecnol\'{o}gicas~(CIEMAT), ~Madrid,  Spain}\\*[0pt]
M.~Aguilar-Benitez, J.~Alcaraz Maestre, C.~Battilana, E.~Calvo, M.~Cerrada, M.~Chamizo Llatas\cmsAuthorMark{2}, N.~Colino, B.~De La Cruz, A.~Delgado Peris, D.~Dom\'{i}nguez V\'{a}zquez, C.~Fernandez Bedoya, J.P.~Fern\'{a}ndez Ramos, A.~Ferrando, J.~Flix, M.C.~Fouz, P.~Garcia-Abia, O.~Gonzalez Lopez, S.~Goy Lopez, J.M.~Hernandez, M.I.~Josa, G.~Merino, E.~Navarro De Martino, J.~Puerta Pelayo, A.~Quintario Olmeda, I.~Redondo, L.~Romero, J.~Santaolalla, M.S.~Soares, C.~Willmott
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\textbf{Universidad Aut\'{o}noma de Madrid,  Madrid,  Spain}\\*[0pt]
C.~Albajar, J.F.~de Troc\'{o}niz
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\textbf{Universidad de Oviedo,  Oviedo,  Spain}\\*[0pt]
H.~Brun, J.~Cuevas, J.~Fernandez Menendez, S.~Folgueras, I.~Gonzalez Caballero, L.~Lloret Iglesias, J.~Piedra Gomez
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\textbf{Instituto de F\'{i}sica de Cantabria~(IFCA), ~CSIC-Universidad de Cantabria,  Santander,  Spain}\\*[0pt]
J.A.~Brochero Cifuentes, I.J.~Cabrillo, A.~Calderon, S.H.~Chuang, J.~Duarte Campderros, M.~Fernandez, G.~Gomez, J.~Gonzalez Sanchez, A.~Graziano, C.~Jorda, A.~Lopez Virto, J.~Marco, R.~Marco, C.~Martinez Rivero, F.~Matorras, F.J.~Munoz Sanchez, T.~Rodrigo, A.Y.~Rodr\'{i}guez-Marrero, A.~Ruiz-Jimeno, L.~Scodellaro, I.~Vila, R.~Vilar Cortabitarte
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\textbf{CERN,  European Organization for Nuclear Research,  Geneva,  Switzerland}\\*[0pt]
D.~Abbaneo, E.~Auffray, G.~Auzinger, M.~Bachtis, P.~Baillon, A.H.~Ball, D.~Barney, J.~Bendavid, J.F.~Benitez, C.~Bernet\cmsAuthorMark{8}, G.~Bianchi, P.~Bloch, A.~Bocci, A.~Bonato, O.~Bondu, C.~Botta, H.~Breuker, T.~Camporesi, G.~Cerminara, T.~Christiansen, J.A.~Coarasa Perez, S.~Colafranceschi\cmsAuthorMark{35}, D.~d'Enterria, A.~Dabrowski, A.~David, A.~De Roeck, S.~De Visscher, S.~Di Guida, M.~Dobson, N.~Dupont-Sagorin, A.~Elliott-Peisert, J.~Eugster, W.~Funk, G.~Georgiou, M.~Giffels, D.~Gigi, K.~Gill, D.~Giordano, M.~Girone, M.~Giunta, F.~Glege, R.~Gomez-Reino Garrido, S.~Gowdy, R.~Guida, J.~Hammer, M.~Hansen, P.~Harris, C.~Hartl, A.~Hinzmann, V.~Innocente, P.~Janot, E.~Karavakis, K.~Kousouris, K.~Krajczar, P.~Lecoq, Y.-J.~Lee, C.~Louren\c{c}o, N.~Magini, M.~Malberti, L.~Malgeri, M.~Mannelli, L.~Masetti, F.~Meijers, S.~Mersi, E.~Meschi, R.~Moser, M.~Mulders, P.~Musella, E.~Nesvold, L.~Orsini, E.~Palencia Cortezon, E.~Perez, L.~Perrozzi, A.~Petrilli, A.~Pfeiffer, M.~Pierini, M.~Pimi\"{a}, D.~Piparo, M.~Plagge, L.~Quertenmont, A.~Racz, W.~Reece, J.~Rojo, G.~Rolandi\cmsAuthorMark{36}, M.~Rovere, H.~Sakulin, F.~Santanastasio, C.~Sch\"{a}fer, C.~Schwick, I.~Segoni, S.~Sekmen, A.~Sharma, P.~Siegrist, P.~Silva, M.~Simon, P.~Sphicas\cmsAuthorMark{37}, D.~Spiga, M.~Stoye, A.~Tsirou, G.I.~Veres\cmsAuthorMark{21}, J.R.~Vlimant, H.K.~W\"{o}hri, S.D.~Worm\cmsAuthorMark{38}, W.D.~Zeuner
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\textbf{Paul Scherrer Institut,  Villigen,  Switzerland}\\*[0pt]
W.~Bertl, K.~Deiters, W.~Erdmann, K.~Gabathuler, R.~Horisberger, Q.~Ingram, H.C.~Kaestli, S.~K\"{o}nig, D.~Kotlinski, U.~Langenegger, D.~Renker, T.~Rohe
\vskip\cmsinstskip
\textbf{Institute for Particle Physics,  ETH Zurich,  Zurich,  Switzerland}\\*[0pt]
F.~Bachmair, L.~B\"{a}ni, L.~Bianchini, P.~Bortignon, M.A.~Buchmann, B.~Casal, N.~Chanon, A.~Deisher, G.~Dissertori, M.~Dittmar, M.~Doneg\`{a}, M.~D\"{u}nser, P.~Eller, K.~Freudenreich, C.~Grab, D.~Hits, P.~Lecomte, W.~Lustermann, B.~Mangano, A.C.~Marini, P.~Martinez Ruiz del Arbol, D.~Meister, N.~Mohr, F.~Moortgat, C.~N\"{a}geli\cmsAuthorMark{39}, P.~Nef, F.~Nessi-Tedaldi, F.~Pandolfi, L.~Pape, F.~Pauss, M.~Peruzzi, F.J.~Ronga, M.~Rossini, L.~Sala, A.K.~Sanchez, A.~Starodumov\cmsAuthorMark{40}, B.~Stieger, M.~Takahashi, L.~Tauscher$^{\textrm{\dag}}$, A.~Thea, K.~Theofilatos, D.~Treille, C.~Urscheler, R.~Wallny, H.A.~Weber
\vskip\cmsinstskip
\textbf{Universit\"{a}t Z\"{u}rich,  Zurich,  Switzerland}\\*[0pt]
C.~Amsler\cmsAuthorMark{41}, V.~Chiochia, C.~Favaro, M.~Ivova Rikova, B.~Kilminster, B.~Millan Mejias, P.~Otiougova, P.~Robmann, H.~Snoek, S.~Taroni, S.~Tupputi, M.~Verzetti
\vskip\cmsinstskip
\textbf{National Central University,  Chung-Li,  Taiwan}\\*[0pt]
M.~Cardaci, K.H.~Chen, C.~Ferro, C.M.~Kuo, S.W.~Li, W.~Lin, Y.J.~Lu, R.~Volpe, S.S.~Yu
\vskip\cmsinstskip
\textbf{National Taiwan University~(NTU), ~Taipei,  Taiwan}\\*[0pt]
P.~Bartalini, P.~Chang, Y.H.~Chang, Y.W.~Chang, Y.~Chao, K.F.~Chen, C.~Dietz, U.~Grundler, W.-S.~Hou, Y.~Hsiung, K.Y.~Kao, Y.J.~Lei, R.-S.~Lu, D.~Majumder, E.~Petrakou, X.~Shi, J.G.~Shiu, Y.M.~Tzeng, M.~Wang
\vskip\cmsinstskip
\textbf{Chulalongkorn University,  Bangkok,  Thailand}\\*[0pt]
B.~Asavapibhop, N.~Suwonjandee
\vskip\cmsinstskip
\textbf{Cukurova University,  Adana,  Turkey}\\*[0pt]
A.~Adiguzel, M.N.~Bakirci\cmsAuthorMark{42}, S.~Cerci\cmsAuthorMark{43}, C.~Dozen, I.~Dumanoglu, E.~Eskut, S.~Girgis, G.~Gokbulut, E.~Gurpinar, I.~Hos, E.E.~Kangal, A.~Kayis Topaksu, G.~Onengut\cmsAuthorMark{44}, K.~Ozdemir, S.~Ozturk\cmsAuthorMark{42}, A.~Polatoz, K.~Sogut\cmsAuthorMark{45}, D.~Sunar Cerci\cmsAuthorMark{43}, B.~Tali\cmsAuthorMark{43}, H.~Topakli\cmsAuthorMark{42}, M.~Vergili
\vskip\cmsinstskip
\textbf{Middle East Technical University,  Physics Department,  Ankara,  Turkey}\\*[0pt]
I.V.~Akin, T.~Aliev, B.~Bilin, S.~Bilmis, M.~Deniz, H.~Gamsizkan, A.M.~Guler, G.~Karapinar\cmsAuthorMark{46}, K.~Ocalan, A.~Ozpineci, M.~Serin, R.~Sever, U.E.~Surat, M.~Yalvac, M.~Zeyrek
\vskip\cmsinstskip
\textbf{Bogazici University,  Istanbul,  Turkey}\\*[0pt]
E.~G\"{u}lmez, B.~Isildak\cmsAuthorMark{47}, M.~Kaya\cmsAuthorMark{48}, O.~Kaya\cmsAuthorMark{48}, S.~Ozkorucuklu\cmsAuthorMark{49}, N.~Sonmez\cmsAuthorMark{50}
\vskip\cmsinstskip
\textbf{Istanbul Technical University,  Istanbul,  Turkey}\\*[0pt]
H.~Bahtiyar\cmsAuthorMark{51}, E.~Barlas, K.~Cankocak, Y.O.~G\"{u}naydin\cmsAuthorMark{52}, F.I.~Vardarl\i, M.~Y\"{u}cel
\vskip\cmsinstskip
\textbf{National Scientific Center,  Kharkov Institute of Physics and Technology,  Kharkov,  Ukraine}\\*[0pt]
L.~Levchuk, P.~Sorokin
\vskip\cmsinstskip
\textbf{University of Bristol,  Bristol,  United Kingdom}\\*[0pt]
J.J.~Brooke, E.~Clement, D.~Cussans, H.~Flacher, R.~Frazier, J.~Goldstein, M.~Grimes, G.P.~Heath, H.F.~Heath, L.~Kreczko, S.~Metson, D.M.~Newbold\cmsAuthorMark{38}, K.~Nirunpong, A.~Poll, S.~Senkin, V.J.~Smith, T.~Williams
\vskip\cmsinstskip
\textbf{Rutherford Appleton Laboratory,  Didcot,  United Kingdom}\\*[0pt]
K.W.~Bell, A.~Belyaev\cmsAuthorMark{53}, C.~Brew, R.M.~Brown, D.J.A.~Cockerill, J.A.~Coughlan, K.~Harder, S.~Harper, E.~Olaiya, D.~Petyt, B.C.~Radburn-Smith, C.H.~Shepherd-Themistocleous, I.R.~Tomalin, W.J.~Womersley
\vskip\cmsinstskip
\textbf{Imperial College,  London,  United Kingdom}\\*[0pt]
R.~Bainbridge, O.~Buchmuller, D.~Burton, D.~Colling, N.~Cripps, M.~Cutajar, P.~Dauncey, G.~Davies, M.~Della Negra, W.~Ferguson, J.~Fulcher, D.~Futyan, A.~Gilbert, A.~Guneratne Bryer, G.~Hall, Z.~Hatherell, J.~Hays, G.~Iles, M.~Jarvis, G.~Karapostoli, M.~Kenzie, R.~Lane, R.~Lucas\cmsAuthorMark{38}, L.~Lyons, A.-M.~Magnan, J.~Marrouche, B.~Mathias, R.~Nandi, J.~Nash, A.~Nikitenko\cmsAuthorMark{40}, J.~Pela, M.~Pesaresi, K.~Petridis, M.~Pioppi\cmsAuthorMark{54}, D.M.~Raymond, S.~Rogerson, A.~Rose, C.~Seez, P.~Sharp$^{\textrm{\dag}}$, A.~Sparrow, A.~Tapper, M.~Vazquez Acosta, T.~Virdee, S.~Wakefield, N.~Wardle, T.~Whyntie
\vskip\cmsinstskip
\textbf{Brunel University,  Uxbridge,  United Kingdom}\\*[0pt]
M.~Chadwick, J.E.~Cole, P.R.~Hobson, A.~Khan, P.~Kyberd, D.~Leggat, D.~Leslie, W.~Martin, I.D.~Reid, P.~Symonds, L.~Teodorescu, M.~Turner
\vskip\cmsinstskip
\textbf{Baylor University,  Waco,  USA}\\*[0pt]
J.~Dittmann, K.~Hatakeyama, A.~Kasmi, H.~Liu, T.~Scarborough
\vskip\cmsinstskip
\textbf{The University of Alabama,  Tuscaloosa,  USA}\\*[0pt]
O.~Charaf, S.I.~Cooper, C.~Henderson, P.~Rumerio
\vskip\cmsinstskip
\textbf{Boston University,  Boston,  USA}\\*[0pt]
A.~Avetisyan, T.~Bose, C.~Fantasia, A.~Heister, P.~Lawson, D.~Lazic, J.~Rohlf, D.~Sperka, J.~St.~John, L.~Sulak
\vskip\cmsinstskip
\textbf{Brown University,  Providence,  USA}\\*[0pt]
J.~Alimena, S.~Bhattacharya, G.~Christopher, D.~Cutts, Z.~Demiragli, A.~Ferapontov, A.~Garabedian, U.~Heintz, S.~Jabeen, G.~Kukartsev, E.~Laird, G.~Landsberg, M.~Luk, M.~Narain, M.~Segala, T.~Sinthuprasith, T.~Speer
\vskip\cmsinstskip
\textbf{University of California,  Davis,  Davis,  USA}\\*[0pt]
R.~Breedon, G.~Breto, M.~Calderon De La Barca Sanchez, S.~Chauhan, M.~Chertok, J.~Conway, R.~Conway, P.T.~Cox, R.~Erbacher, M.~Gardner, R.~Houtz, W.~Ko, A.~Kopecky, R.~Lander, T.~Miceli, D.~Pellett, F.~Ricci-Tam, B.~Rutherford, M.~Searle, J.~Smith, M.~Squires, M.~Tripathi, S.~Wilbur, R.~Yohay
\vskip\cmsinstskip
\textbf{University of California,  Los Angeles,  USA}\\*[0pt]
V.~Andreev, D.~Cline, R.~Cousins, S.~Erhan, P.~Everaerts, C.~Farrell, M.~Felcini, J.~Hauser, M.~Ignatenko, C.~Jarvis, G.~Rakness, P.~Schlein$^{\textrm{\dag}}$, E.~Takasugi, P.~Traczyk, V.~Valuev, M.~Weber
\vskip\cmsinstskip
\textbf{University of California,  Riverside,  Riverside,  USA}\\*[0pt]
J.~Babb, R.~Clare, J.~Ellison, J.W.~Gary, G.~Hanson, P.~Jandir, H.~Liu, O.R.~Long, A.~Luthra, H.~Nguyen, S.~Paramesvaran, J.~Sturdy, S.~Sumowidagdo, R.~Wilken, S.~Wimpenny
\vskip\cmsinstskip
\textbf{University of California,  San Diego,  La Jolla,  USA}\\*[0pt]
W.~Andrews, J.G.~Branson, G.B.~Cerati, S.~Cittolin, D.~Evans, A.~Holzner, R.~Kelley, M.~Lebourgeois, J.~Letts, I.~Macneill, S.~Padhi, C.~Palmer, G.~Petrucciani, M.~Pieri, M.~Sani, V.~Sharma, S.~Simon, E.~Sudano, M.~Tadel, Y.~Tu, A.~Vartak, S.~Wasserbaech\cmsAuthorMark{55}, F.~W\"{u}rthwein, A.~Yagil, J.~Yoo
\vskip\cmsinstskip
\textbf{University of California,  Santa Barbara,  Santa Barbara,  USA}\\*[0pt]
D.~Barge, R.~Bellan, C.~Campagnari, M.~D'Alfonso, T.~Danielson, K.~Flowers, P.~Geffert, C.~George, F.~Golf, J.~Incandela, C.~Justus, P.~Kalavase, D.~Kovalskyi, V.~Krutelyov, S.~Lowette, R.~Maga\~{n}a Villalba, N.~Mccoll, V.~Pavlunin, J.~Ribnik, J.~Richman, R.~Rossin, D.~Stuart, W.~To, C.~West
\vskip\cmsinstskip
\textbf{California Institute of Technology,  Pasadena,  USA}\\*[0pt]
A.~Apresyan, A.~Bornheim, J.~Bunn, Y.~Chen, E.~Di Marco, J.~Duarte, D.~Kcira, Y.~Ma, A.~Mott, H.B.~Newman, C.~Rogan, M.~Spiropulu, V.~Timciuc, J.~Veverka, R.~Wilkinson, S.~Xie, Y.~Yang, R.Y.~Zhu
\vskip\cmsinstskip
\textbf{Carnegie Mellon University,  Pittsburgh,  USA}\\*[0pt]
V.~Azzolini, A.~Calamba, R.~Carroll, T.~Ferguson, Y.~Iiyama, D.W.~Jang, Y.F.~Liu, M.~Paulini, J.~Russ, H.~Vogel, I.~Vorobiev
\vskip\cmsinstskip
\textbf{University of Colorado at Boulder,  Boulder,  USA}\\*[0pt]
J.P.~Cumalat, B.R.~Drell, W.T.~Ford, A.~Gaz, E.~Luiggi Lopez, U.~Nauenberg, J.G.~Smith, K.~Stenson, K.A.~Ulmer, S.R.~Wagner
\vskip\cmsinstskip
\textbf{Cornell University,  Ithaca,  USA}\\*[0pt]
J.~Alexander, A.~Chatterjee, N.~Eggert, L.K.~Gibbons, W.~Hopkins, A.~Khukhunaishvili, B.~Kreis, N.~Mirman, G.~Nicolas Kaufman, J.R.~Patterson, A.~Ryd, E.~Salvati, W.~Sun, W.D.~Teo, J.~Thom, J.~Thompson, J.~Tucker, Y.~Weng, L.~Winstrom, P.~Wittich
\vskip\cmsinstskip
\textbf{Fairfield University,  Fairfield,  USA}\\*[0pt]
D.~Winn
\vskip\cmsinstskip
\textbf{Fermi National Accelerator Laboratory,  Batavia,  USA}\\*[0pt]
S.~Abdullin, M.~Albrow, J.~Anderson, G.~Apollinari, L.A.T.~Bauerdick, A.~Beretvas, J.~Berryhill, P.C.~Bhat, K.~Burkett, J.N.~Butler, V.~Chetluru, H.W.K.~Cheung, F.~Chlebana, S.~Cihangir, V.D.~Elvira, I.~Fisk, J.~Freeman, Y.~Gao, E.~Gottschalk, L.~Gray, D.~Green, O.~Gutsche, D.~Hare, R.M.~Harris, J.~Hirschauer, B.~Hooberman, S.~Jindariani, M.~Johnson, U.~Joshi, K.~Kaadze, B.~Klima, S.~Kunori, S.~Kwan, J.~Linacre, D.~Lincoln, R.~Lipton, J.~Lykken, K.~Maeshima, J.M.~Marraffino, V.I.~Martinez Outschoorn, S.~Maruyama, D.~Mason, P.~McBride, K.~Mishra, S.~Mrenna, Y.~Musienko\cmsAuthorMark{56}, C.~Newman-Holmes, V.~O'Dell, O.~Prokofyev, N.~Ratnikova, E.~Sexton-Kennedy, S.~Sharma, W.J.~Spalding, L.~Spiegel, L.~Taylor, S.~Tkaczyk, N.V.~Tran, L.~Uplegger, E.W.~Vaandering, R.~Vidal, J.~Whitmore, W.~Wu, F.~Yang, J.C.~Yun
\vskip\cmsinstskip
\textbf{University of Florida,  Gainesville,  USA}\\*[0pt]
D.~Acosta, P.~Avery, D.~Bourilkov, M.~Chen, T.~Cheng, S.~Das, M.~De Gruttola, G.P.~Di Giovanni, D.~Dobur, A.~Drozdetskiy, R.D.~Field, M.~Fisher, Y.~Fu, I.K.~Furic, J.~Hugon, B.~Kim, J.~Konigsberg, A.~Korytov, A.~Kropivnitskaya, T.~Kypreos, J.F.~Low, K.~Matchev, P.~Milenovic\cmsAuthorMark{57}, G.~Mitselmakher, L.~Muniz, R.~Remington, A.~Rinkevicius, N.~Skhirtladze, M.~Snowball, J.~Yelton, M.~Zakaria
\vskip\cmsinstskip
\textbf{Florida International University,  Miami,  USA}\\*[0pt]
V.~Gaultney, S.~Hewamanage, S.~Linn, P.~Markowitz, G.~Martinez, J.L.~Rodriguez
\vskip\cmsinstskip
\textbf{Florida State University,  Tallahassee,  USA}\\*[0pt]
T.~Adams, A.~Askew, J.~Bochenek, J.~Chen, B.~Diamond, S.V.~Gleyzer, J.~Haas, S.~Hagopian, V.~Hagopian, K.F.~Johnson, H.~Prosper, V.~Veeraraghavan, M.~Weinberg
\vskip\cmsinstskip
\textbf{Florida Institute of Technology,  Melbourne,  USA}\\*[0pt]
M.M.~Baarmand, B.~Dorney, M.~Hohlmann, H.~Kalakhety, F.~Yumiceva
\vskip\cmsinstskip
\textbf{University of Illinois at Chicago~(UIC), ~Chicago,  USA}\\*[0pt]
M.R.~Adams, L.~Apanasevich, V.E.~Bazterra, R.R.~Betts, I.~Bucinskaite, J.~Callner, R.~Cavanaugh, O.~Evdokimov, L.~Gauthier, C.E.~Gerber, D.J.~Hofman, S.~Khalatyan, P.~Kurt, F.~Lacroix, D.H.~Moon, C.~O'Brien, C.~Silkworth, D.~Strom, P.~Turner, N.~Varelas
\vskip\cmsinstskip
\textbf{The University of Iowa,  Iowa City,  USA}\\*[0pt]
U.~Akgun, E.A.~Albayrak\cmsAuthorMark{51}, B.~Bilki\cmsAuthorMark{58}, W.~Clarida, K.~Dilsiz, F.~Duru, S.~Griffiths, J.-P.~Merlo, H.~Mermerkaya\cmsAuthorMark{59}, A.~Mestvirishvili, A.~Moeller, J.~Nachtman, C.R.~Newsom, H.~Ogul, Y.~Onel, F.~Ozok\cmsAuthorMark{51}, S.~Sen, P.~Tan, E.~Tiras, J.~Wetzel, T.~Yetkin\cmsAuthorMark{60}, K.~Yi
\vskip\cmsinstskip
\textbf{Johns Hopkins University,  Baltimore,  USA}\\*[0pt]
B.A.~Barnett, B.~Blumenfeld, S.~Bolognesi, G.~Giurgiu, A.V.~Gritsan, G.~Hu, P.~Maksimovic, C.~Martin, M.~Swartz, A.~Whitbeck
\vskip\cmsinstskip
\textbf{The University of Kansas,  Lawrence,  USA}\\*[0pt]
P.~Baringer, A.~Bean, G.~Benelli, R.P.~Kenny III, M.~Murray, D.~Noonan, S.~Sanders, R.~Stringer, J.S.~Wood
\vskip\cmsinstskip
\textbf{Kansas State University,  Manhattan,  USA}\\*[0pt]
A.F.~Barfuss, I.~Chakaberia, A.~Ivanov, S.~Khalil, M.~Makouski, Y.~Maravin, S.~Shrestha, I.~Svintradze
\vskip\cmsinstskip
\textbf{Lawrence Livermore National Laboratory,  Livermore,  USA}\\*[0pt]
J.~Gronberg, D.~Lange, F.~Rebassoo, D.~Wright
\vskip\cmsinstskip
\textbf{University of Maryland,  College Park,  USA}\\*[0pt]
A.~Baden, B.~Calvert, S.C.~Eno, J.A.~Gomez, N.J.~Hadley, R.G.~Kellogg, T.~Kolberg, Y.~Lu, M.~Marionneau, A.C.~Mignerey, K.~Pedro, A.~Peterman, A.~Skuja, J.~Temple, M.B.~Tonjes, S.C.~Tonwar
\vskip\cmsinstskip
\textbf{Massachusetts Institute of Technology,  Cambridge,  USA}\\*[0pt]
A.~Apyan, G.~Bauer, W.~Busza, I.A.~Cali, M.~Chan, L.~Di Matteo, V.~Dutta, G.~Gomez Ceballos, M.~Goncharov, D.~Gulhan, Y.~Kim, M.~Klute, Y.S.~Lai, A.~Levin, P.D.~Luckey, T.~Ma, S.~Nahn, C.~Paus, D.~Ralph, C.~Roland, G.~Roland, G.S.F.~Stephans, F.~St\"{o}ckli, K.~Sumorok, D.~Velicanu, R.~Wolf, B.~Wyslouch, M.~Yang, Y.~Yilmaz, A.S.~Yoon, M.~Zanetti, V.~Zhukova
\vskip\cmsinstskip
\textbf{University of Minnesota,  Minneapolis,  USA}\\*[0pt]
B.~Dahmes, A.~De Benedetti, G.~Franzoni, A.~Gude, J.~Haupt, S.C.~Kao, K.~Klapoetke, Y.~Kubota, J.~Mans, N.~Pastika, R.~Rusack, M.~Sasseville, A.~Singovsky, N.~Tambe, J.~Turkewitz
\vskip\cmsinstskip
\textbf{University of Mississippi,  Oxford,  USA}\\*[0pt]
J.G.~Acosta, L.M.~Cremaldi, R.~Kroeger, S.~Oliveros, L.~Perera, R.~Rahmat, D.A.~Sanders, D.~Summers
\vskip\cmsinstskip
\textbf{University of Nebraska-Lincoln,  Lincoln,  USA}\\*[0pt]
E.~Avdeeva, K.~Bloom, S.~Bose, D.R.~Claes, A.~Dominguez, M.~Eads, R.~Gonzalez Suarez, J.~Keller, I.~Kravchenko, J.~Lazo-Flores, S.~Malik, F.~Meier, G.R.~Snow
\vskip\cmsinstskip
\textbf{State University of New York at Buffalo,  Buffalo,  USA}\\*[0pt]
J.~Dolen, A.~Godshalk, I.~Iashvili, S.~Jain, A.~Kharchilava, A.~Kumar, S.~Rappoccio, Z.~Wan
\vskip\cmsinstskip
\textbf{Northeastern University,  Boston,  USA}\\*[0pt]
G.~Alverson, E.~Barberis, D.~Baumgartel, M.~Chasco, J.~Haley, A.~Massironi, D.~Nash, T.~Orimoto, D.~Trocino, D.~Wood, J.~Zhang
\vskip\cmsinstskip
\textbf{Northwestern University,  Evanston,  USA}\\*[0pt]
A.~Anastassov, K.A.~Hahn, A.~Kubik, L.~Lusito, N.~Mucia, N.~Odell, B.~Pollack, A.~Pozdnyakov, M.~Schmitt, S.~Stoynev, K.~Sung, M.~Velasco, S.~Won
\vskip\cmsinstskip
\textbf{University of Notre Dame,  Notre Dame,  USA}\\*[0pt]
D.~Berry, A.~Brinkerhoff, K.M.~Chan, M.~Hildreth, C.~Jessop, D.J.~Karmgard, J.~Kolb, K.~Lannon, W.~Luo, S.~Lynch, N.~Marinelli, D.M.~Morse, T.~Pearson, M.~Planer, R.~Ruchti, J.~Slaunwhite, N.~Valls, M.~Wayne, M.~Wolf
\vskip\cmsinstskip
\textbf{The Ohio State University,  Columbus,  USA}\\*[0pt]
L.~Antonelli, B.~Bylsma, L.S.~Durkin, C.~Hill, R.~Hughes, K.~Kotov, T.Y.~Ling, D.~Puigh, M.~Rodenburg, G.~Smith, C.~Vuosalo, B.L.~Winer, H.~Wolfe
\vskip\cmsinstskip
\textbf{Princeton University,  Princeton,  USA}\\*[0pt]
E.~Berry, P.~Elmer, V.~Halyo, P.~Hebda, J.~Hegeman, A.~Hunt, P.~Jindal, S.A.~Koay, P.~Lujan, D.~Marlow, T.~Medvedeva, M.~Mooney, J.~Olsen, P.~Pirou\'{e}, X.~Quan, A.~Raval, H.~Saka, D.~Stickland, C.~Tully, J.S.~Werner, S.C.~Zenz, A.~Zuranski
\vskip\cmsinstskip
\textbf{University of Puerto Rico,  Mayaguez,  USA}\\*[0pt]
E.~Brownson, A.~Lopez, H.~Mendez, J.E.~Ramirez Vargas
\vskip\cmsinstskip
\textbf{Purdue University,  West Lafayette,  USA}\\*[0pt]
E.~Alagoz, D.~Benedetti, G.~Bolla, D.~Bortoletto, M.~De Mattia, A.~Everett, Z.~Hu, M.~Jones, K.~Jung, O.~Koybasi, M.~Kress, N.~Leonardo, D.~Lopes Pegna, V.~Maroussov, P.~Merkel, D.H.~Miller, N.~Neumeister, I.~Shipsey, D.~Silvers, A.~Svyatkovskiy, M.~Vidal Marono, F.~Wang, W.~Xie, L.~Xu, H.D.~Yoo, J.~Zablocki, Y.~Zheng
\vskip\cmsinstskip
\textbf{Purdue University Calumet,  Hammond,  USA}\\*[0pt]
S.~Guragain, N.~Parashar
\vskip\cmsinstskip
\textbf{Rice University,  Houston,  USA}\\*[0pt]
A.~Adair, B.~Akgun, K.M.~Ecklund, F.J.M.~Geurts, W.~Li, B.P.~Padley, R.~Redjimi, J.~Roberts, J.~Zabel
\vskip\cmsinstskip
\textbf{University of Rochester,  Rochester,  USA}\\*[0pt]
B.~Betchart, A.~Bodek, R.~Covarelli, P.~de Barbaro, R.~Demina, Y.~Eshaq, T.~Ferbel, A.~Garcia-Bellido, P.~Goldenzweig, J.~Han, A.~Harel, D.C.~Miner, G.~Petrillo, D.~Vishnevskiy, M.~Zielinski
\vskip\cmsinstskip
\textbf{The Rockefeller University,  New York,  USA}\\*[0pt]
A.~Bhatti, R.~Ciesielski, L.~Demortier, K.~Goulianos, G.~Lungu, S.~Malik, C.~Mesropian
\vskip\cmsinstskip
\textbf{Rutgers,  The State University of New Jersey,  Piscataway,  USA}\\*[0pt]
S.~Arora, A.~Barker, J.P.~Chou, C.~Contreras-Campana, E.~Contreras-Campana, D.~Duggan, D.~Ferencek, Y.~Gershtein, R.~Gray, E.~Halkiadakis, D.~Hidas, A.~Lath, S.~Panwalkar, M.~Park, R.~Patel, V.~Rekovic, J.~Robles, S.~Salur, S.~Schnetzer, C.~Seitz, S.~Somalwar, R.~Stone, S.~Thomas, P.~Thomassen, M.~Walker
\vskip\cmsinstskip
\textbf{University of Tennessee,  Knoxville,  USA}\\*[0pt]
G.~Cerizza, M.~Hollingsworth, K.~Rose, S.~Spanier, Z.C.~Yang, A.~York
\vskip\cmsinstskip
\textbf{Texas A\&M University,  College Station,  USA}\\*[0pt]
O.~Bouhali\cmsAuthorMark{61}, R.~Eusebi, W.~Flanagan, J.~Gilmore, T.~Kamon\cmsAuthorMark{62}, V.~Khotilovich, R.~Montalvo, I.~Osipenkov, Y.~Pakhotin, A.~Perloff, J.~Roe, A.~Safonov, T.~Sakuma, I.~Suarez, A.~Tatarinov, D.~Toback
\vskip\cmsinstskip
\textbf{Texas Tech University,  Lubbock,  USA}\\*[0pt]
N.~Akchurin, C.~Cowden, J.~Damgov, C.~Dragoiu, P.R.~Dudero, C.~Jeong, K.~Kovitanggoon, S.W.~Lee, T.~Libeiro, I.~Volobouev
\vskip\cmsinstskip
\textbf{Vanderbilt University,  Nashville,  USA}\\*[0pt]
E.~Appelt, A.G.~Delannoy, S.~Greene, A.~Gurrola, W.~Johns, C.~Maguire, Y.~Mao, A.~Melo, M.~Sharma, P.~Sheldon, B.~Snook, S.~Tuo, J.~Velkovska
\vskip\cmsinstskip
\textbf{University of Virginia,  Charlottesville,  USA}\\*[0pt]
M.W.~Arenton, S.~Boutle, B.~Cox, B.~Francis, J.~Goodell, R.~Hirosky, A.~Ledovskoy, C.~Lin, C.~Neu, J.~Wood
\vskip\cmsinstskip
\textbf{Wayne State University,  Detroit,  USA}\\*[0pt]
S.~Gollapinni, R.~Harr, P.E.~Karchin, C.~Kottachchi Kankanamge Don, P.~Lamichhane, A.~Sakharov
\vskip\cmsinstskip
\textbf{University of Wisconsin,  Madison,  USA}\\*[0pt]
D.A.~Belknap, L.~Borrello, D.~Carlsmith, M.~Cepeda, S.~Dasu, E.~Friis, M.~Grothe, R.~Hall-Wilton, M.~Herndon, A.~Herv\'{e}, P.~Klabbers, J.~Klukas, A.~Lanaro, R.~Loveless, A.~Mohapatra, M.U.~Mozer, I.~Ojalvo, G.A.~Pierro, G.~Polese, I.~Ross, A.~Savin, W.H.~Smith, J.~Swanson
\vskip\cmsinstskip
\dag:~Deceased\\
1:~~Also at Vienna University of Technology, Vienna, Austria\\
2:~~Also at CERN, European Organization for Nuclear Research, Geneva, Switzerland\\
3:~~Also at Institut Pluridisciplinaire Hubert Curien, Universit\'{e}~de Strasbourg, Universit\'{e}~de Haute Alsace Mulhouse, CNRS/IN2P3, Strasbourg, France\\
4:~~Also at National Institute of Chemical Physics and Biophysics, Tallinn, Estonia\\
5:~~Also at Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow, Russia\\
6:~~Also at Universidade Estadual de Campinas, Campinas, Brazil\\
7:~~Also at California Institute of Technology, Pasadena, USA\\
8:~~Also at Laboratoire Leprince-Ringuet, Ecole Polytechnique, IN2P3-CNRS, Palaiseau, France\\
9:~~Also at Zewail City of Science and Technology, Zewail, Egypt\\
10:~Also at Suez Canal University, Suez, Egypt\\
11:~Also at Cairo University, Cairo, Egypt\\
12:~Also at Fayoum University, El-Fayoum, Egypt\\
13:~Also at British University in Egypt, Cairo, Egypt\\
14:~Now at Ain Shams University, Cairo, Egypt\\
15:~Also at National Centre for Nuclear Research, Swierk, Poland\\
16:~Also at Universit\'{e}~de Haute Alsace, Mulhouse, France\\
17:~Also at Joint Institute for Nuclear Research, Dubna, Russia\\
18:~Also at Brandenburg University of Technology, Cottbus, Germany\\
19:~Also at The University of Kansas, Lawrence, USA\\
20:~Also at Institute of Nuclear Research ATOMKI, Debrecen, Hungary\\
21:~Also at E\"{o}tv\"{o}s Lor\'{a}nd University, Budapest, Hungary\\
22:~Also at Tata Institute of Fundamental Research~-~EHEP, Mumbai, India\\
23:~Also at Tata Institute of Fundamental Research~-~HECR, Mumbai, India\\
24:~Now at King Abdulaziz University, Jeddah, Saudi Arabia\\
25:~Also at University of Visva-Bharati, Santiniketan, India\\
26:~Also at University of Ruhuna, Matara, Sri Lanka\\
27:~Also at Isfahan University of Technology, Isfahan, Iran\\
28:~Also at Sharif University of Technology, Tehran, Iran\\
29:~Also at Plasma Physics Research Center, Science and Research Branch, Islamic Azad University, Tehran, Iran\\
30:~Also at Laboratori Nazionali di Legnaro dell'~INFN, Legnaro, Italy\\
31:~Also at Universit\`{a}~degli Studi di Siena, Siena, Italy\\
32:~Also at Purdue University, West Lafayette, USA\\
33:~Also at Universidad Michoacana de San Nicolas de Hidalgo, Morelia, Mexico\\
34:~Also at Faculty of Physics, University of Belgrade, Belgrade, Serbia\\
35:~Also at Facolt\`{a}~Ingegneria, Universit\`{a}~di Roma, Roma, Italy\\
36:~Also at Scuola Normale e~Sezione dell'INFN, Pisa, Italy\\
37:~Also at University of Athens, Athens, Greece\\
38:~Also at Rutherford Appleton Laboratory, Didcot, United Kingdom\\
39:~Also at Paul Scherrer Institut, Villigen, Switzerland\\
40:~Also at Institute for Theoretical and Experimental Physics, Moscow, Russia\\
41:~Also at Albert Einstein Center for Fundamental Physics, Bern, Switzerland\\
42:~Also at Gaziosmanpasa University, Tokat, Turkey\\
43:~Also at Adiyaman University, Adiyaman, Turkey\\
44:~Also at Cag University, Mersin, Turkey\\
45:~Also at Mersin University, Mersin, Turkey\\
46:~Also at Izmir Institute of Technology, Izmir, Turkey\\
47:~Also at Ozyegin University, Istanbul, Turkey\\
48:~Also at Kafkas University, Kars, Turkey\\
49:~Also at Suleyman Demirel University, Isparta, Turkey\\
50:~Also at Ege University, Izmir, Turkey\\
51:~Also at Mimar Sinan University, Istanbul, Istanbul, Turkey\\
52:~Also at Kahramanmaras S\"{u}tc\"{u}~Imam University, Kahramanmaras, Turkey\\
53:~Also at School of Physics and Astronomy, University of Southampton, Southampton, United Kingdom\\
54:~Also at INFN Sezione di Perugia;~Universit\`{a}~di Perugia, Perugia, Italy\\
55:~Also at Utah Valley University, Orem, USA\\
56:~Also at Institute for Nuclear Research, Moscow, Russia\\
57:~Also at University of Belgrade, Faculty of Physics and Vinca Institute of Nuclear Sciences, Belgrade, Serbia\\
58:~Also at Argonne National Laboratory, Argonne, USA\\
59:~Also at Erzincan University, Erzincan, Turkey\\
60:~Also at Yildiz Technical University, Istanbul, Turkey\\
61:~Also at Texas A\&M University at Qatar, Doha, Qatar\\
62:~Also at Kyungpook National University, Daegu, Korea\\


TOP-12-022_temp.tex
\pdfoutput=1

\documentclass[11pt,twoside,a4paper,cmspaper,final,collab]{cms-tdr}
\def\svnVersion{248098}\def\cmsCernNo{2013-037}\def\cmsCernDate{\today}\def\cmsMessage{Published in Physics Letters B as \href{http://dx.doi.org/10.1016/j.physletb.2013.12.009}{\doi{10.1016/j.physletb.2013.12.009.}} \\[4ex] \parbox{0.85\textwidth}{ This version includes corrections to be to be published in an upcoming corrigendum that take into account the correct relative uncertainty the measured top-quark pair cross section of 4.1\%. The general conclusions of the paper are unchanged.}}


\begin{document}\cmsNoteHeader{TOP-12-022}


\hyphenation{had-ron-i-za-tion}
\hyphenation{cal-or-i-me-ter}
\hyphenation{de-vices}

\RCS$Revision: 236911 $
\RCS$HeadURL: svn+ssh://alverson@svn.cern.ch/reps/tdr2/papers/TOP-12-022/trunk/TOP-12-022.tex $
\RCS$Id: TOP-12-022.tex 236911 2014-04-16 12:51:09Z snaumann $
\newlength\cmsFigWidth
\ifthenelse{\boolean{cms@external}}{\setlength\cmsFigWidth{0.46\textwidth}}{\setlength\cmsFigWidth{0.75\textwidth}}
\newlength\cmsFigWidthOne\setlength\cmsFigWidthOne{0.46\textwidth}
\ifthenelse{\boolean{cms@external}}{\providecommand{\cmsLeft}{top\xspace}}{\providecommand{\cmsLeft}{left\xspace}}
\ifthenelse{\boolean{cms@external}}{\providecommand{\cmsRight}{bottom\xspace}}{\providecommand{\cmsRight}{right\xspace}}
\newcommand{\mtop}{\ensuremath{m_\cPqt}\xspace}
\newcommand{\mtpole}{\ensuremath{m_\cPqt^{\scriptscriptstyle{\text{pole}}}}\xspace}
\newcommand{\mZ}{\ensuremath{m_\cPZ}\xspace}
\cmsNoteHeader{TOP-12-022} % This is over-written in the CMS environment: useful as preprint no. for export versions
\title{Determination of the top-quark pole mass and strong coupling constant from the \ttbar production cross section in pp collisions at $\sqrt{s} = 7\TeV$}


\date{\today}


\abstract{
  The inclusive cross section for top-quark pair production measured by the CMS experiment in proton-proton collisions at a
  center-of-mass energy of 7\TeV is compared to the QCD prediction at next-to-next-to-leading order with various
  parton distribution functions to determine the top-quark pole mass, \mtpole,
  or the strong coupling constant, $\alpha_S$.
  With the parton distribution function set NNPDF2.3, a pole mass of $176.7{}^{+3.0}_{-2.8}$\GeV is obtained
  when constraining $\alpha_S$ at the scale of the Z boson mass, \mZ, to the current world average.
  Alternatively, by constraining
  \mtpole to the latest average from direct mass measurements,
  a value of $\alpha_S (\mZ) = 0.1151 {}^{+0.0028}_{-0.0027}$
  is extracted. This is the first determination of $\alpha_S$ using events from top-quark production.
}

\hypersetup{%
pdfauthor={CMS Collaboration},%
pdftitle={Determination of the top-quark pole mass and strong coupling constant from the ttbar production cross section in pp collisions at sqrt(s) = 7 TeV},%
pdfsubject={CMS},%
pdfkeywords={CMS, physics, top, quark, pair, cross section, mass, QCD, strong, coupling, constant}}

\maketitle %maketitle comes after all the front information has been supplied

\section{Introduction}
\label{sec:intro}

The Large Hadron Collider (LHC) has provided a wealth of proton-proton collisions,
which has enabled the Compact Muon Solenoid (CMS) experiment \cite{Chatrchyan:2008zzk}
to measure cross sections for the production of top-quark pairs (\ttbar)
with high precision employing a variety of approaches \cite{Chatrchyan:2011nb,Chatrchyan:2011ew,Chatrchyan:2011yy,Chatrchyan:2012vs,Chatrchyan:2012bra,Chatrchyan:2012ria,Chatrchyan:2013kff,Chatrchyan:2013ual,Chatrchyan:2012saa}.
Comparing the presently available results, obtained at a center-of-mass energy, $\sqrt{s}$, of 7\TeV,
to theoretical predictions allows for stringent tests of the underlying models
and for constraints on fundamental parameters.
Top-quark pair production can be described in the framework of quantum chromodynamics (QCD) and
calculations for the inclusive \ttbar cross section, $\sigma_{\ttbar}$,
have recently become available to complete next-to-next-to-leading order (NNLO)
in perturbation theory \cite{Czakon:2013goa}.
Crucial inputs to these calculations are: the top-quark mass, $\mtop$; the strong coupling constant, $\alpha_S$;
and the gluon distribution in the proton,
since \ttbar production at LHC energies is expected to occur predominantly via gluon-gluon fusion.

The top-quark mass is one of the fundamental parameters of the standard model (SM) of particle physics.
Its value significantly affects predictions for many observables either directly or
via radiative corrections.
As a consequence, the measured $\mtop$ is one of the key inputs to electroweak precision fits,
which enable comparisons between experimental results and predictions within and beyond the SM.
Furthermore, together with the Higgs-boson mass and $\alpha_S$, $\mtop$ has direct implications on the stability of the
electroweak vacuum \cite{Degrassi:2012ry,Alekhin:2012py}.
The most precise result for $\mtop$, obtained by combining direct measurements performed at the Tevatron,
is $173.18 \pm 0.94$\GeV \cite{Aaltonen:2012ra}.
Similar measurements performed by the CMS Collaboration \cite{Chatrchyan:2011nb,Chatrchyan:2012cz,Chatrchyan:2012ea,Chatrchyan:2013boa}
are in agreement with the Tevatron result and of comparable precision.
However, except for a few cases \cite{Chatrchyan:2013boa},
these direct measurements rely on the relation between $\mtop$ and the respective experimental observable,
\eg, a reconstructed invariant mass, as expected from simulated events.
In QCD beyond leading order, $\mtop$ depends on the renormalization scheme \cite{Hoang:2008xm,Ahrens:2011px}.
The available Monte Carlo generators contain matrix elements at leading order or next-to-leading order (NLO), while
higher orders are simulated by applying parton showering.
Studies suggest that $\mtop$ as implemented in Monte Carlo generators corresponds approximately
to the pole (``on-shell'') mass, $\mtpole$, but that the value of the true pole mass could be of the order of 1\GeV higher
compared to $\mtop$ in the current event generators \cite{Buckley:2011ms}.
In addition to direct $\mtop$ measurements,
the mass dependence of the QCD prediction for $\sigma_{\ttbar}$ can be used to determine $\mtop$
by comparing the measured to the predicted cross section \cite{Langenfeld:2009wd,Abazov:2011pta,Ahrens:2011px,Beneke:2011mq,Beneke:2012wb,Alekhin:2012py}.
Although the sensitivity of $\sigma_{\ttbar}$ to $\mtop$ might not be strong enough
to make this approach competitive in precision,
it yields results affected by different sources of systematic uncertainties compared
to the direct $\mtop$ measurements and allows for extractions of $\mtop$ in theoretically well-defined mass schemes.
It has been advocated to directly extract the $\overline{\textrm{MS}}$ mass of the top quark
using the $\sigma_{\ttbar}$ prediction in that scheme \cite{Langenfeld:2009wd}.
The relation between pole and $\overline{\textrm{MS}}$ mass is known to three-loop level in QCD
but might receive large electroweak corrections \cite{Jegerlehner:2012kn}.
In principle,
the difference between the results obtained when extracting $\mtop$ in the pole and
converting it to the $\overline{\textrm{MS}}$ scheme or extracting the $\overline{\textrm{MS}}$ mass directly
should be small in view of the precision that the extraction of $\mtop$ from the inclusive $\sigma_{\ttbar}$
at a hadron collider provides.
Therefore, only the pole mass scheme is employed in this Letter.

With the exception of the quark masses, $\alpha_S$ is the only free parameter of the QCD Lagrangian. While the
renormalization group equation predicts the energy dependence of the strong coupling, \ie,
gives a functional form for $\alpha_S (Q)$, where $Q$ is the energy scale of the process,
actual values of $\alpha_S$ can only be obtained based on experimental data.
By convention and to facilitate comparisons, $\alpha_S$ values measured at different energy scales
are typically evolved to $Q = \mZ$, the mass of the Z boson.
The current world average for $\alpha_S (\mZ)$ is $0.1184 \pm 0.0007$ \cite{PhysRevD.86.010001}.
In spite of this relatively precise result,
the uncertainty on $\alpha_S$ still contributes significantly to many QCD predictions, including expected cross sections
for top-quark pairs or Higgs bosons.
Furthermore, thus far very few measurements allow $\alpha_S$ to be tested at high $Q$
and the precision on the average for $\alpha_S (\mZ)$ is driven by low-$Q$ measurements.
Energies up to 209\GeV were probed with hadronic final states in electron-positron collisions
at LEP using NNLO predictions \cite{Dissertori:2009ik,OPAL:2011aa,Dissertori:2009qa,Abbate:2010xh}.
Jet measurements at the Tevatron and the LHC have recently
extended the range up to 400\GeV \cite{:2012xib}, 600\GeV \cite{Malaescu:2012ts}, and 1.4\TeV~\cite{Chatrchyan:2013txa}.
However, most predictions for jet production in hadron collisions are only available up to NLO QCD.
Even when these predictions are available at
approximate NNLO, as used in \cite{Abazov:2009nc},
they suffer from significant uncertainties related to the choice and variation of the renormalization and
factorization scales, $\mu_R$ and $\mu_F$, as well as from uncertainties related to non-perturbative corrections.

In cross section calculations, $\alpha_s$ appears not only in
the expression for the parton-parton interaction but also in the QCD evolution of the
parton distribution functions (PDFs).
Varying the value of $\alpha_S(\mZ)$ in the $\sigma_{\ttbar}$ calculation therefore
requires a consistent modification of the PDFs.
Moreover, a strong correlation between $\alpha_S$ and the gluon PDF at large partonic momentum fractions
is expected to significantly enhance the sensitivity of $\sigma_{\ttbar}$ to $\alpha_S$ \cite{Czakon:2013tha}.

In this Letter, the predicted $\sigma_{\ttbar}$ is compared to the most precise single measurement to
date~\cite{Chatrchyan:2012bra}, and values of $\mtpole$ and $\alpha_S (\mZ)$ are determined.
This extraction is performed under the assumption that the
measured $\sigma_{\ttbar}$ is not affected by non-SM physics.
The interplay of the values of $\mtpole$, $\alpha_s$ and the proton PDFs
in the prediction of $\sigma_{\ttbar}$ is studied.
Five different PDF sets, available at NNLO, are employed and for each a series of
different choices of $\alpha_S(\mZ)$ are considered.
A simultaneous extraction of top-quark mass and strong coupling constant
from the total \ttbar cross section alone is not possible
since both parameters alter the predicted $\sigma_{\ttbar}$ in such a way that
any variation of one parameter can be compensated by a variation of the other.
Values of $\mtpole$ and $\alpha_S(\mZ)$
are therefore determined at fixed values of $\alpha_S (\mZ)$ and $\mtpole$, respectively.
For the $\mtpole$ extraction, $\alpha_S (\mZ)$ is constrained to the latest world average value
with its corresponding uncertainty ($0.1184 \pm 0.0007$) \cite{PhysRevD.86.010001}.
Furthermore, it is assumed that the $\mtop$ parameter of the Monte Carlo generator that is employed in the
$\sigma_{\ttbar}$ measurement is equal to $\mtpole$ within $\pm 1.00$\GeV \cite{Buckley:2011ms}.
For the $\alpha_S$ extraction, $\mtpole$ is set to the Tevatron average of
$173.18 \pm 0.94$\GeV \cite{Aaltonen:2012ra}.
To account for the possible difference between the pole mass and the Monte Carlo generator mass \cite{Buckley:2011ms},
an additional uncertainty, assumed to be 1.00\GeV, is added in quadrature to the experimental uncertainty,
resulting in a total uncertainty on the top-quark mass constraint, $\delta \mtpole$, of 1.4\GeV.
Although the potential $\alpha_S$ dependence of the direct $\mtop$ measurements has not been explicitly evaluated,
it is assumed to be covered by the quoted mass uncertainty.

\section{Predicted Cross Section}
\label{sec:prediction}

The expected $\sigma_{\ttbar}$ has been calculated to NNLO for all production channels,
namely the all-fermionic scattering modes ($\Pq\Paq$, $\Pq\Pq'$, $\Pq\Paq'$, $\Pq\Pq$ $\to \ttbar + X$)
\cite{Baernreuther:2012ws,Czakon:2012zr}, the reaction $\Pq\Pg \to \ttbar + X$ \cite{Czakon:2012pz},
and the dominant process $\Pg\Pg \to \ttbar + X$ \cite{Czakon:2013goa}.
In the present analysis, these calculations are used as implemented in the program \textsc{Top++}~2.0~\cite{Czakon:2011xx}.
Soft-gluon resummation is performed at next-to-next-leading-log (NNLL) accuracy
\cite{Beneke:2009rj,Czakon:2009zw}.
The scales $\mu_R$ and $\mu_F$ are set to $\mtpole$.
In order to evaluate the theoretical uncertainty of the fixed-order calculation, the missing contributions
from higher orders are estimated by varying $\mu_R$ and $\mu_F$ up and down by a factor of 2 independently,
while using the restriction $0.5 \leq \mu_F / \mu_R \leq 2$.
These choices for the central scale and the variation procedure
were suggested by the authors of the NNLO calculations
and used for earlier $\sigma_{\ttbar}$ predictions as well \cite{Cacciari:2008zb}.

Five different NNLO PDF sets are employed: ABM11~\cite{Alekhin:2012ig}, CT10~\cite{Gao:2013xoa},
HERAPDF1.5~\cite{HERA15NNLO}, MSTW\-2008~\cite{Martin:2009iq,Martin:2009bu}, and NNPDF2.3~\cite{Ball:2012cx}.
The corresponding uncertainties are calculated at the 68\% confidence level for all PDF sets.
This is done by recalculating the $\sigma_{\ttbar}$ at NNLO+NNLL for each of the provided
eigenvectors or replicas of the respective PDF set and then performing error propagation
according to the prescription of that PDF group.
In the specific case of the CT10 PDF set, the uncertainties are provided for the 90\% confidence
level only. For this Letter, following the recommendation of the CTEQ group, these uncertainties
are adjusted using the general relation between confidence intervals based on Gaussian distributions
\cite{PhysRevD.86.010001}, \ie, scaled down by a factor of $\sqrt{2}  \erf^{-1}(0.90) = 1.64$,
where $\erf$ denotes the error function.

The dependence of the predicted $\sigma_{\ttbar}$ on the choice of $\mtpole$ is studied by
varying $\mtpole$ in the range from 130 to 220\GeV in steps of 1\GeV
and found to be well described by a third-order polynomial in $\mtpole$ divided by $(\mtpole)^4$.
The $\alpha_S$ dependence of $\sigma_{\ttbar}$ is studied by varying the
value of $\alpha_S (\mZ)$ over the entire valid range for a particular PDF set, as listed
in Table~\ref{tab:PDFalphaScans}.
The relative change of $\sigma_{\ttbar}$ as a function of $\alpha_S(\mZ)$ can be
parametrized using a second-order polynomial in $\alpha_S(\mZ)$,
where the three coefficients of that polynomial depend linearly on $\mtpole$.

\begin{table*}[htb]
  \begin{center}
    \topcaption{Default $\alpha_S (\mZ)$ values and $\alpha_S (\mZ)$ variation ranges of the NNLO PDF sets
      used in this analysis. Because the NNPDF2.3 PDF set does not have a default value of $\alpha_S (\mZ)$,
  preferring to provide the full uncertainties and systematic variations for various $\alpha_S (\mZ)$ points,
  the $\alpha_S (\mZ)$ value obtained by the NNPDF Collaboration
  with NNPDF2.1 \cite{Ball:2011us} is used.
      The step size for the $\alpha_S (\mZ)$ scans is 0.0010 in all cases.
      The uncertainties on the default values are shown for illustration purposes only.
      \label{tab:PDFalphaScans}}
    \begin{tabular}{lcccc}
      &                    &               & \multicolumn{2}{c}{Provided $\alpha_S (\mZ)$ scan} \\
      & Default $\alpha_S (\mZ)$ & Uncertainty & Range & \# of points \\
      \hline
      ABM11      & 0.1134 & $\pm$ 0.0011 & 0.1040--0.1200 & 17 \\
      CT10       & 0.1180 & $\pm$ 0.0020 & 0.1100--0.1300 & 21 \\
      HERAPDF1.5 & 0.1176 & $\pm$ 0.0020 & 0.1140--0.1220 & 9  \\
      MSTW2008   & 0.1171 & $\pm$ 0.0014 & 0.1070--0.1270 & 21 \\
      NNPDF2.3   & 0.1174 & $\pm$ 0.0007 & 0.1140--0.1240 & 11 \\
    \end{tabular}
  \end{center}
\end{table*}

The resulting $\sigma_{\ttbar}$ predictions are compared in Fig.~\ref{fig:xsec_vs_alpha}, both as a function
of $\mtpole$ and of $\alpha_S (\mZ)$.
For a given value of $\alpha_S (\mZ)$, the predictions based on NNPDF2.3 and CT10
are very similar. The cross sections obtained with MSTW2008 and HERAPDF1.5 are slightly higher
while the predictions obtained with ABM11 are significantly lower due to a smaller gluon density
in the relevant kinematic range \cite{Alekhin:2012ig}.
In addition to the absolute normalization, differences in the slope of $\sigma_{\ttbar}$ as a function
of $\alpha_S (\mZ)$ are observed between some of the PDF sets.

\begin{figure}[htb]
  \centering
  \includegraphics[width=\cmsFigWidthOne]{foldedLikelihoods_pole_xsec_vs_mass} \hfill
  \includegraphics[width=\cmsFigWidthOne]{foldedLikelihoods_pole_xsec_vs_alpha}
  \caption{Predicted \ttbar cross section at NNLO+NNLL, as a function of the top-quark pole mass (\cmsLeft)
    and of the strong coupling constant (\cmsRight),
    using five different NNLO PDF sets, compared to the cross section measured by CMS
    assuming $\mtop = \mtpole$.
    The uncertainties on the measured $\sigma_{\ttbar}$
    as well as the renormalization and factorization scale and PDF uncertainties
    on the prediction with NNPDF2.3 are illustrated with filled bands.
    The uncertainties on the $\sigma_{\ttbar}$ predictions using the other PDF sets are indicated
    only in the \cmsRight panel at the corresponding default $\alpha_S (\mZ)$ values.
    The $\mtpole$ and $\alpha_S (\mZ)$ regions favored
    by the direct measurements at the Tevatron and by the latest world average, respectively,
    are shown as hatched areas.
    In the \cmsLeft panel, the inner (solid) area of the vertical band corresponds to the
    original uncertainty of the direct $\mtop$ average, while the outer (hatched) area
    additionally accounts for the possible difference between this mass and $\mtpole$.
    \label{fig:xsec_vs_alpha}}
\end{figure}

\section{Measured Cross Section}

In this Letter, the most precise single measurement for $\sigma_{\ttbar}$ \cite{Chatrchyan:2012bra} is used.
It was derived at $\sqrt{s}$ = 7\TeV by the CMS Collaboration
from data collected in 2011 in the dileptonic decay channel and corresponding to an integrated luminosity of 2.3\fbinv.
Assuming $\mtop = 172.5$\GeV and $\alpha_S (\mZ) = 0.1180$, the observed cross section is $161.9\pm6.7\unit{pb}$.
Systematic effects on this measurement from the choice and uncertainties of the PDFs
were studied and found to be negligible.

The measured $\sigma_{\ttbar}$ shows a dependence on the value of $\mtop$ that is used in the Monte Carlo simulations
since the change in the event kinematics affects the expected selection efficiency
and thus the acceptance corrections that are employed to infer $\sigma_{\ttbar}$ from the observed event yield.
A parametrization for this dependence, which is illustrated in Fig.~\ref{fig:xsec_vs_alpha},
was already given in Section~8 of Ref.~\cite{Chatrchyan:2012bra}.
At $\mtop = 173.2$\GeV, for example, the observed cross section is 161.0\unit{pb}.
The relative uncertainty of 4.1\% on the measured $\sigma_{\ttbar}$ is independent of $\mtop$ to very good approximation.

Changes of the assumed value of $\alpha_S (\mZ)$ in the simulation used to derive the acceptance corrections
can alter the measured $\sigma_{\ttbar}$ as well, which is discussed in this Letter for the first time.
QCD radiation effects increase at higher $\alpha_S (\mZ)$,
both at the matrix-element level and at the hadronization level. The $\alpha_S (\mZ)$-dependence of the
acceptance corrections
is studied using the NLO CTEQ6AB PDF sets \cite{Pumplin:2005rh},
and the \textsc{Powheg Box}~1.4 \cite{Alioli:2010xd,Frixione:2007nw}
NLO generator for \ttbar production
interfaced with \PYTHIA~6.4.24 \cite{Sjostrand:2006za} for the parton showering.
Additionally, the impact of $\alpha_S (\mZ)$ variations on the acceptance
is studied with standalone \PYTHIA as a plain leading-order generator with parton showering
and cross-checked with \MCFM~6.2 \cite{Campbell:2012uf} as an NLO prediction without parton showering.
In all cases, a relative change of the acceptance by
less than $1\%$ is observed when varying $\alpha_S (\mZ)$ by $\pm 0.0100$ with respect to the CTEQ
reference value of 0.1180.
This is accounted for by applying an $\alpha_S (\mZ)$-dependent uncertainty to the measured
$\sigma_{\ttbar}$.
This additional uncertainty is also
included in the uncertainty band shown in Fig.~\ref{fig:xsec_vs_alpha}.
Over the relevant $\alpha_S (\mZ)$ range,
there is almost no increase in the total uncertainty of 4.1\% on the measured $\sigma_{\ttbar}$.

In the $\mtop$ and $\alpha_S (\mZ)$ regions favored
by the direct measurements at the Tevatron and by the latest world average, respectively,
the measured and the predicted cross section are compatible within their uncertainties
for all considered PDF sets.
When using ABM11 with its default $\alpha_S (\mZ)$, the discrepancy between
measured and predicted cross section is larger than one standard deviation.

\section{Probabilistic Approach}

In the following, the theory prediction for $\sigma_{\ttbar}$ is employed to construct a Bayesian prior
to the cross section measurement, from which a joint posterior in $\sigma_{\ttbar}$, $\mtpole$ and $\alpha_S (\mZ)$
is derived.
Finally, this posterior is marginalized by integration over $\sigma_{\ttbar}$ and a Bayesian confidence interval
for $\mtpole$ or $\alpha_S (\mZ)$ is computed based on the external constraint for $\alpha_S (\mZ)$
or $\mtpole$, respectively.

The probability function for the predicted cross section,
$f_{\text{th}} (\sigma_{\ttbar})$, is obtained through an analytic convolution of two probability distributions,
one accounting for the PDF uncertainty and the other for scale uncertainties.
A Gaussian distribution of width $\delta_{\text{PDF}}$ is used to describe the PDF uncertainty.
Given that no particular probability distribution is known that should be adequate
for the confidence interval obtained from the variation of $\mu_R$ and $\mu_F$ \cite{Cacciari:2008zb},
the corresponding uncertainty on the $\sigma_{\ttbar}$ prediction is approximated using a flat prior, \ie, a rectangular
function that provides equal probability over the whole range covered by the scale variation and vanishes elsewhere.
The resulting probability function is given by:
\begin{linenomath} \begin{equation*}
  f_{\textrm{th}} (\sigma_{\ttbar}) =
  \frac{1}{2 \left( \sigma_{\ttbar}^{(h)} - \sigma_{\ttbar}^{(l)} \right)}
  \left( \erf \left[ \frac{\sigma_{\ttbar}^{(h)} - \sigma_{\ttbar}}{\sqrt{2}\, \delta_{\text{PDF}}} \right] -
    \erf \left[  \frac{\sigma_{\ttbar}^{(l)} - \sigma_{\ttbar}}{\sqrt{2}\, \delta_{\text{PDF}}} \right] \right).
\end{equation*} \end{linenomath}
Here, $\sigma_{\ttbar}^{(l)}$ and $\sigma_{\ttbar}^{(h)}$ denote the lowest and the highest cross section values,
respectively, that are obtained when varying $\mu_R$ and $\mu_F$ as described in Section~\ref{sec:prediction}.
An example for the resulting probability distributions is shown in Fig.~\ref{fig:convolution}.

\begin{figure}[htb]
  \centering
  \includegraphics[width=\cmsFigWidthOne]{convolution_mitov_pole_nnpdf}
  \caption{Probability distributions for the predicted \ttbar cross section at NNLO+NNLL
    with $\mtpole = 173.2$\GeV, $\alpha_S (\mZ) = 0.1184$ and the NNLO parton distributions from NNPDF2.3.
    The resulting probability, $f_{\text{th}} (\sigma_{\ttbar})$, represented by a solid line,
    is obtained by convolving a Gaussian distribution (filled area) that accounts for the PDF uncertainty
    with a rectangular function (dashed line) that covers the scale variation uncertainty.}
  \label{fig:convolution}
\end{figure}

The probability distribution $f_{\text{th}} (\sigma_{\ttbar})$ is multiplied by another Gaussian
probability, $f_{\text{exp}} (\sigma_{\ttbar})$, which represents the measured cross section and its uncertainty,
to obtain the most probable $\mtpole$ or $\alpha_S (\mZ)$ value for a
given $\alpha_S (\mZ)$ or $\mtpole$, respectively, from the maximum of the marginalized posterior:
\begin{linenomath} \begin{equation*}
  P(x) = \int f_{\text{exp}} (\sigma_{\ttbar} | x) \ f_{\text{th}} (\sigma_{\ttbar} | x) \,\rd\sigma_{\ttbar},
  \quad x = \mtpole,\; \alpha_S (\mZ).
\end{equation*} \end{linenomath}
Examples of $P (\mtpole)$ and $P (\alpha_S)$ are shown in Fig.~\ref{fig:finalLikelihoods}. Confidence intervals are
determined from the 68\% area around the maximum of the posterior and requiring equal function values at
the left and right edges.

\begin{figure}[htb]
  \centering
  \includegraphics[width=\cmsFigWidthOne]{final_likeDensity_mass_mitov_pole_nnpdf} \hfill
  \includegraphics[width=\cmsFigWidthOne]{final_likeDensity_alpha_mitov_pole_nnpdf}
  \caption{Marginal posteriors $P (\mtpole)$ (\cmsLeft) and $P (\alpha_S)$ (\cmsRight)
    based on the cross section prediction at NNLO+NNLL with the
    NNLO parton distributions from NNPDF2.3.
    The posteriors are constructed as described in the text.
    Here, $P (\mtpole)$ is shown for $\alpha_S (\mZ) = 0.1184$ and $P (\alpha_S)$ for
    \mbox{$\mtpole = 173.2$\GeV}.}
  \label{fig:finalLikelihoods}
\end{figure}

The approximate contributions of the uncertainties on the measured and the predicted cross sections to the width
of this Bayesian confidence interval can be estimated by repeatedly rescaling the size of the corresponding uncertainty
component. The widths of the obtained confidence intervals are then used to extrapolate to the case in which a given
component vanishes.

To assess the impact of the uncertainties on the $\alpha_S (\mZ)$ and $\mtpole$ values that are used as constraints
in the present analysis, $P (\mtpole)$ is re-evaluated at $\alpha_S (\mZ)$ = 0.1177 and 0.1191,
reflecting the $\pm$0.0007 uncertainty on the $\alpha_S (\mZ)$ world average,
and $P (\alpha_S)$ is re-evaluated at $\mtpole$ = 171.8 and 174.6\GeV,
reflecting the $\delta \mtpole$ = 1.4\GeV as explained in Section~\ref{sec:intro}.
The resulting shifts in the most likely values of $\mtpole$ and $\alpha_S (\mZ)$
are added in quadrature to those obtained
from the 68\% areas of the posteriors calculated with the central values of the constraints.

\section{Results and Conclusions}

Values of the top-quark pole mass determined using the \ttbar cross section measured by CMS together
with the cross section prediction from NNLO+NNLL QCD and five different NNLO PDF sets
are listed in Table~\ref{tab:resultsMass}.
These values are extracted under the assumption that the $\mtop$
parameter in the Monte Carlo generator that was employed to obtain the mass-dependent
acceptance correction of the measured cross section, shown in Fig.~\ref{fig:xsec_vs_alpha},
is equal to the pole mass.
A difference of 1.0\GeV between the two mass definitions \cite{Buckley:2011ms} would
result in changes of 0.3--0.6\GeV in the extracted pole masses, which is included as a systematic uncertainty.
As illustrated in Fig.~\ref{fig:massSummaryPlot}, the results based on NNPDF2.3, CT10, MSTW2008, and HERAPDF1.5
are higher than the latest average of direct $\mtop$ measurements
but generally compatible within the uncertainties.
They are also consistent with the indirect determination of the top-quark pole mass
obtained in the electroweak fits \cite{Eberhardt:2012gv,Baak:2012kk}
when employing the mass of the new boson discovered at the LHC \cite{Aad:2012tfa,Chatrchyan:2012ufa}
under the assumption that this is the SM Higgs boson.
The central $\mtpole$ value obtained with the ABM11 PDF set,
which has a significantly smaller gluon density than the other PDF sets,
is also compatible with the average from direct $\mtop$ measurements.
Note, however, that all these results in Table~\ref{tab:resultsMass}
are obtained employing the $\alpha_S (\mZ)$ world average of $0.1184 \pm 0.0007$,
while ABM11 with its default $\alpha_S (\mZ)$ of $0.1134 \pm 0.0011$ would yield an $\mtpole$ value of $166.4^{+2.9}_{-2.8}$\GeV.
\begin{table*}[pthb]
  \begin{center}
    \renewcommand{\arraystretch}{1.25}
    \topcaption{Results obtained for $\mtpole$ by comparing the measured \ttbar cross section to
      the NNLO+NNLL prediction with different NNLO PDF sets.
      The total uncertainties account for
      the full uncertainty on the measured cross section ($\sigma_{\ttbar}^{\text{meas}}$),
      the PDF and scale ($\mu_{R,F}$) uncertainties on the predicted cross section,
      the uncertainties of the $\alpha_S(\mZ)$ world average
      and of the LHC beam energy ($E_{\text{LHC}}$), and
      the ambiguity in translating the MC-generator based mass dependence ($\mtop^{\text{MC}}$) of the measured cross section
      into the pole-mass scheme.
     \label{tab:resultsMass}}
\begin{tabular}{lcccccccc}
 & \multirow{2}{*}{$\mtpole$ (\GeVns{})} & \multicolumn{7}{c}{Uncertainty on $\mtpole$ (\GeVns{})} \\ \cline{3-9}
 & & Total & $\sigma_{\ttbar}^{\text{meas}}$ & PDF & $\mu_{R,F}$ & $\alpha_{S}$ & $E_{\text{LHC}}$ & $\mtop^{\text{MC}}$ \\
\hline
ABM11      &  172.7 & ${}^{+3.2}_{-3.1}$ & ${}^{+1.8}_{-1.8}$ & ${}^{+2.2}_{-2.0}$ & ${}^{+0.7}_{-0.7}$ & ${}^{+1.0}_{-1.0}$ & ${}^{+0.8}_{-0.8}$ & ${}^{+0.4}_{-0.3}$\\
CT10       &  177.0 & ${}^{+3.6}_{-3.3}$ & ${}^{+2.2}_{-2.1}$ & ${}^{+2.4}_{-2.0}$ & ${}^{+0.9}_{-0.9}$ & ${}^{+0.8}_{-0.8}$ & ${}^{+0.9}_{-0.9}$ & ${}^{+0.5}_{-0.4}$ \\
HERAPDF1.5 &  179.5 & ${}^{+3.5}_{-3.2}$ & ${}^{+2.4}_{-2.2}$ & ${}^{+1.7}_{-1.5}$ & ${}^{+0.9}_{-0.8}$ & ${}^{+1.2}_{-1.1}$ & ${}^{+1.0}_{-1.0}$ & ${}^{+0.6}_{-0.5}$ \\
MSTW2008   &  177.9 & ${}^{+3.2}_{-3.0}$ & ${}^{+2.2}_{-2.1}$ & ${}^{+1.6}_{-1.4}$ & ${}^{+0.9}_{-0.9}$ & ${}^{+0.9}_{-0.9}$ & ${}^{+0.9}_{-0.9}$ & ${}^{+0.5}_{-0.5}$ \\
NNPDF2.3   &  176.7 & ${}^{+3.0}_{-2.8}$ & ${}^{+2.1}_{-2.0}$ & ${}^{+1.5}_{-1.3}$ & ${}^{+0.9}_{-0.9}$ & ${}^{+0.7}_{-0.7}$ & ${}^{+0.9}_{-0.9}$ & ${}^{+0.5}_{-0.4}$ \\
\end{tabular}
  \end{center}
\end{table*}
\begin{figure}[thbp]
  \centering
  \includegraphics[width=\cmsFigWidth]{foldedLikelihoods_pole_massSummaryPlot}
  \caption{Results obtained for $\mtpole$ from
    the measured \ttbar cross section together with the prediction at NNLO+NNLL using different NNLO PDF sets.
    The filled symbols represent the results obtained when using the $\alpha_S (\mZ)$ world average,
    while the open symbols indicate the results obtained with the default $\alpha_S (\mZ)$ value
    of the respective PDF set.
    The inner error bars include the uncertainties on the measured cross section and on
    the LHC beam energy as well as the PDF and scale uncertainties on the predicted cross section.
    The outer error bars additionally account for the uncertainty on the $\alpha_S (\mZ)$ value used
    for a specific prediction.
    For comparison, the latest average of direct $\mtop$ measurements
    is shown as vertical band, where
    the inner (solid) area corresponds to the
    original uncertainty of the direct $\mtop$ average, while the outer (hatched) area
    additionally accounts for the possible difference between this mass and $\mtpole$.
  \label{fig:massSummaryPlot}}
\end{figure}

The $\alpha_S (\mZ)$ values obtained when fixing the value of $\mtpole$ to $173.2 \pm 1.4\GeV$,
\ie, inverting the logic of the extraction, are listed in Table~\ref{tab:resultsAlpha}.
As illustrated in Fig.~\ref{fig:alphaSummaryPlot},
the results obtained using NNPDF2.3, CT10, MSTW2008, and HERAPDF1.5 are lower than the
$\alpha_S (\mZ)$ world average but in most cases still compatible with it within the uncertainties.
While the $\alpha_S (\mZ)$ value obtained with ABM11 is compatible with the world average,
it is significantly different from the default $\alpha_S (\mZ)$ of this PDF set.
\begin{table*}[htb]
  \begin{center}
    \renewcommand{\arraystretch}{1.25}
    \topcaption{Results obtained for $\alpha_S (\mZ)$ by comparing the measured \ttbar cross section to
      the NNLO+NNLL prediction with different NNLO PDF sets.
      The total uncertainties account for
      the full uncertainty on the measured cross section ($\sigma_{\ttbar}^{\text{meas}}$),
      the PDF and scale ($\mu_{R,F}$) uncertainties on the predicted cross section,
      the uncertainty assigned to the knowledge of $\mtpole$,
      and the uncertainty of the LHC beam energy ($E_{\text{LHC}}$).
      \label{tab:resultsAlpha}}

\begin{tabular}{lccccccc}
 & \multirow{2}{*}{$\alpha_S (\mZ)$} & \multicolumn{6}{c}{Uncertainty on $\alpha_S (\mZ)$} \\ \cline{3-8}
 & & Total & $\sigma_{\ttbar}^{\text{meas}}$ & PDF & $\mu_{R,F}$ & $\mtpole$ & $E_{\text{LHC}}$ \\
\hline
ABM11      & 0.1187 & ${}^{+0.0024}_{-0.0024}$ & ${}^{+0.0013}_{-0.0015}$ & ${}^{+0.0015}_{-0.0014}$ & ${}^{+0.0006}_{-0.0005}$ & ${}^{+0.0010}_{-0.0010}$ & ${}^{+0.0006}_{-0.0006}$\\
CT10       & 0.1151 & ${}^{+0.0030}_{-0.0029}$ & ${}^{+0.0018}_{-0.0018}$ & ${}^{+0.0018}_{-0.0016}$ & ${}^{+0.0008}_{-0.0007}$ & ${}^{+0.0012}_{-0.0013}$ & ${}^{+0.0007}_{-0.0007}$\\
HERAPDF1.5 & 0.1143 & ${}^{+0.0020}_{-0.0020}$ & ${}^{+0.0012}_{-0.0013}$ & ${}^{+0.0010}_{-0.0009}$ & ${}^{+0.0005}_{-0.0004}$ & ${}^{+0.0010}_{-0.0010}$ & ${}^{+0.0006}_{-0.0006}$\\
MSTW2008   & 0.1144 & ${}^{+0.0026}_{-0.0027}$ & ${}^{+0.0017}_{-0.0018}$ & ${}^{+0.0012}_{-0.0011}$ & ${}^{+0.0008}_{-0.0007}$ & ${}^{+0.0012}_{-0.0013}$ & ${}^{+0.0007}_{-0.0008}$\\
NNPDF2.3   & 0.1151 & ${}^{+0.0028}_{-0.0027}$ & ${}^{+0.0017}_{-0.0018}$ & ${}^{+0.0013}_{-0.0011}$ & ${}^{+0.0009}_{-0.0008}$ & ${}^{+0.0013}_{-0.0013}$ & ${}^{+0.0008}_{-0.0008}$\\
\end{tabular}
  \end{center}
\end{table*}
\begin{figure}[htbp]
  \centering
  \includegraphics[width=\cmsFigWidth]{foldedLikelihoods_pole_alphaSummaryPlot}
  \caption{Results obtained for $\alpha_S (\mZ)$ from
    the measured \ttbar cross section together with the prediction at NNLO+NNLL using different NNLO PDF sets.
    The inner error bars include the uncertainties on the measured cross section and on
    the LHC beam energy as well as the PDF and scale uncertainties on the predicted cross section.
    The outer error bars additionally account for the uncertainty on $\mtpole$.
    For comparison, the latest $\alpha_S (\mZ)$ world average with its uncertainty is shown as a hatched band.
    For each PDF set, the default $\alpha_S (\mZ)$ value and its uncertainty are indicated using a dotted line and a
    shaded band.
    \label{fig:alphaSummaryPlot}}
\end{figure}

Modeling the uncertainty related to the choice and variation of the renormalization and factorization scales
with a Gaussian instead of the flat prior results in only minor changes of the
$\mtpole$ and $\alpha_S (\mZ)$ values and uncertainties.
With the precise NNLO+NNLL calculation,
these scale uncertainties are found to be of the size of 0.7--0.9\GeV on $\mtpole$
and 0.0004--0.0009 on $\alpha_S (\mZ)$,
\ie, of the order of 0.3--0.8\%.

The energy of the LHC beams is known to an accuracy of 0.65\%~\cite{Wenninger:1546734}
and thus the center-of-mass energy of 7\TeV with an uncertainty of $\pm$46\GeV.
Based on the expected dependence of $\sigma_{\ttbar}$ on $\sqrt{s}$,
this can be translated into an additional uncertainty of $\pm$1.8\% on the comparison of the measured to the
predicted \ttbar cross section,
which yields an additional uncertainty of $\pm$(0.5--0.7)\% on the obtained $\mtpole$ and
$\alpha_S (\mZ)$ values.

For the main results of this Letter,
the $\mtpole$ and $\alpha_S (\mZ)$ values determined with the parton densities of NN\-PDF2.3 are used.
The primary motivation is that parton distributions derived using the NNPDF methodology can be explicitly shown
to be parametrization independent, in the sense that results are unchanged even when the number of input
parameters is substantially increased \cite{Ball:2008by}.

In summary, a top-quark pole mass of $176.7{}^{+3.0}_{-2.8}$\GeV is obtained by comparing the measured cross section
for inclusive \ttbar production in proton-proton collisions at $\sqrt{s}$ = 7\TeV to QCD calculations at NNLO+NNLL.
Due to the small uncertainty on the measured cross section and the state-of-the-art NNLO calculations,
the precision of this result is higher compared to earlier determinations of $\mtpole$ following the same approach.
This extraction provides an important test of the mass scheme applied in Monte Carlo simulations
and gives complementary information, with different sensitivity to theoretical and experimental uncertainties,
than direct measurements of $\mtop$.
Alternatively, $\alpha_S (\mZ) = 0.1151 {}^{+0.0028}_{-0.0027}$ is obtained from the \ttbar cross section
when constraining $\mtpole$ to 173.2 $\pm$1.4\GeV.
This is the first determination of the strong coupling constant from top-quark production
and the first $\alpha_S (\mZ)$ result at full NNLO QCD obtained at a hadron collider.


\section*{Acknowledgements}

We thank Alexander Mitov for his help with the NNLO calculations.
We congratulate our colleagues in the CERN accelerator departments for the excellent performance of the LHC and thank the technical and administrative staffs at CERN and at other CMS institutes for their contributions to the success of the CMS effort. In addition, we gratefully acknowledge the computing centres and personnel of the Worldwide LHC Computing Grid for delivering so effectively the computing infrastructure essential to our analyses. Finally, we acknowledge the enduring support for the construction and operation of the LHC and the CMS detector provided by the following funding agencies: BMWF and FWF (Austria); FNRS and FWO (Belgium); CNPq, CAPES, FAPERJ, and FAPESP (Brazil); MES (Bulgaria); CERN; CAS, MoST, and NSFC (China); COLCIENCIAS (Colombia); MSES (Croatia); RPF (Cyprus); MoER, SF0690030s09 and ERDF (Estonia); Academy of Finland, MEC, and HIP (Finland); CEA and CNRS/IN2P3 (France); BMBF, DFG, and HGF (Germany); GSRT (Greece); OTKA and NKTH (Hungary); DAE and DST (India); IPM (Iran); SFI (Ireland); INFN (Italy); NRF and WCU (Republic of Korea); LAS (Lithuania); CINVESTAV, CONACYT, SEP, and UASLP-FAI (Mexico); MSI (New Zealand); PAEC (Pakistan); MSHE and NSC (Poland); FCT (Portugal); JINR (Dubna); MON, RosAtom, RAS and RFBR (Russia); MESTD (Serbia); SEIDI and CPAN (Spain); Swiss Funding Agencies (Switzerland); NSC (Taipei); ThEPCenter, IPST, STAR and NSTDA (Thailand); TUBITAK and TAEK (Turkey); NASU (Ukraine); STFC (United Kingdom); DOE and NSF (USA).

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\cleardoublepage \appendix\section{The CMS Collaboration \label{app:collab}}\begin{sloppypar}\hyphenpenalty=5000\widowpenalty=500\clubpenalty=5000\input{TOP-12-022-authorlist.tex}\end{sloppypar}
\end{document}


TOP-12-022_temp.bbl
\providecommand{\href}[2]{#2}\begingroup\raggedright\begin{thebibliography}{10}%
\makeatletter
\providecommand{\hrefCMSnoop }[0]{\@secondoftwo}%
\makeatother
\providecommand{\doi}{\texttt{doi:}\begingroup \urlstyle{tt}\Url}

\bibitem{Chatrchyan:2008zzk}
\hrefCMSnoop {} {{ CMS} Collaboration, ``The {CMS} experiment at the {CERN}
  {LHC}'',} \textit{ JINST} \textbf{ 3} (2008) S08004,
\href{http://dx.doi.org/10.1088/1748-0221/3/08/S08004}{\doi{10.1088/1748-0221/3/08/S08004}}.
%%CITATION = JINST,3,S08004;%%.

\bibitem{Chatrchyan:2011nb}
\hrefCMSnoop {} {{ CMS} Collaboration, ``{Measurement of the \ttbar production
  cross section and the top quark mass in the dilepton channel in pp collisions
  at $\sqrt{s}$ = 7~TeV}'',} \textit{ JHEP} \textbf{ 07} (2011) 049,
  \href{http://dx.doi.org/10.1007/JHEP07(2011)049}{\doi{10.1007/JHEP07(2011)049}},
\href{http://www.arXiv.org/abs/1105.5661}{\texttt{ arXiv:1105.5661}}.
%%CITATION = ARXIV:1105.5661;%%.

\bibitem{Chatrchyan:2011ew}
\hrefCMSnoop {} {{ CMS} Collaboration, ``{Measurement of the \ttbar production
  cross section in pp collisions at $\sqrt{s} = 7$~TeV using the kinematic
  properties of events with leptons and jets}'',} \textit{ Eur. Phys. J. C}
  \textbf{ 71} (2011) 1721,
  \href{http://dx.doi.org/10.1140/epjc/s10052-011-1721-3}{\doi{10.1140/epjc/s10052-011-1721-3}},
\href{http://www.arXiv.org/abs/1106.0902}{\texttt{ arXiv:1106.0902}}.
%%CITATION = ARXIV:1106.0902;%%.

\bibitem{Chatrchyan:2011yy}
\hrefCMSnoop {} {{ CMS} Collaboration, ``{Measurement of the $t\bar{t}$
  production cross section in $pp$ collisions at 7~TeV in lepton + jets events
  using $b$-quark jet identification}'',} \textit{ Phys. Rev. D} \textbf{ 84}
  (2011) 092004,
  \href{http://dx.doi.org/10.1103/PhysRevD.84.092004}{\doi{10.1103/PhysRevD.84.092004}},
\href{http://www.arXiv.org/abs/1108.3773}{\texttt{ arXiv:1108.3773}}.
%%CITATION = ARXIV:1108.3773;%%.

\bibitem{Chatrchyan:2012vs}
\hrefCMSnoop {} {{ CMS} Collaboration, ``{Measurement of the $t\bar{t}$
  production cross section in pp collisions at $\sqrt{s} = 7$~TeV in dilepton
  final states containing a $\tau$}'',} \textit{ Phys. Rev. D} \textbf{ 85}
  (2012) 112007,
  \href{http://dx.doi.org/10.1103/PhysRevD.85.112007}{\doi{10.1103/PhysRevD.85.112007}},
\href{http://www.arXiv.org/abs/1203.6810}{\texttt{ arXiv:1203.6810}}.
%%CITATION = ARXIV:1203.6810;%%.

\bibitem{Chatrchyan:2012bra}
\hrefCMSnoop {} {{ CMS} Collaboration, ``{Measurement of the \ttbar production
  cross section in the dilepton channel in pp collisions at $\sqrt{s} =
  7$~TeV}'',} \textit{ JHEP} \textbf{ 11} (2012) 067,
  \href{http://dx.doi.org/10.1007/JHEP11(2012)067}{\doi{10.1007/JHEP11(2012)067}},
\href{http://www.arXiv.org/abs/1208.2671}{\texttt{ arXiv:1208.2671}}.
%%CITATION = ARXIV:1208.2671;%%.

\bibitem{Chatrchyan:2012ria}
\hrefCMSnoop {} {{ CMS} Collaboration, ``{Measurement of the \ttbar production
  cross section in pp collisions at $\sqrt{s} = 7$~TeV with lepton + jets final
  states}'',} \textit{ Phys. Lett. B} \textbf{ 720} (2013) 83,
  \href{http://dx.doi.org/10.1016/j.physletb.2013.02.021}{\doi{10.1016/j.physletb.2013.02.021}},
\href{http://www.arXiv.org/abs/1212.6682}{\texttt{ arXiv:1212.6682}}.
%%CITATION = ARXIV:1212.6682;%%.

\bibitem{Chatrchyan:2013kff}
\hrefCMSnoop {} {{ CMS} Collaboration, ``{Measurement of the \ttbar production
  cross section in the $\tau$ + jets channel in pp collisions at $\sqrt{s} =
  7$~TeV}'',} \textit{ Eur. Phys. J. C} \textbf{ 73} (2013) 2386,
  \href{http://dx.doi.org/10.1140/epjc/s10052-013-2386-x}{\doi{10.1140/epjc/s10052-013-2386-x}},
\href{http://www.arXiv.org/abs/1301.5755}{\texttt{ arXiv:1301.5755}}.
%%CITATION = ARXIV:1301.5755;%%.

\bibitem{Chatrchyan:2013ual}
\hrefCMSnoop {} {{ CMS} Collaboration, ``{Measurement of the \ttbar production
  cross section in the all-jet final state in pp collisions at $\sqrt{s} =
  7$~TeV}'',} \textit{ JHEP} \textbf{ 05} (2013) 065,
  \href{http://dx.doi.org/10.1007/JHEP05(2013)065}{\doi{10.1007/JHEP05(2013)065}},
\href{http://www.arXiv.org/abs/1302.0508}{\texttt{ arXiv:1302.0508}}.
%%CITATION = ARXIV:1302.0508;%%.

\bibitem{Chatrchyan:2012saa}
\hrefCMSnoop {} {{ CMS} Collaboration, ``{Measurement of differential top-quark
  pair production cross sections in pp collisions at $\sqrt{s} = 7$~TeV}'',}
  \textit{ Eur. Phys. J. C} \textbf{ 73} (2013) 2339,
  \href{http://dx.doi.org/10.1140/epjc/s10052-013-2339-4}{\doi{10.1140/epjc/s10052-013-2339-4}},
\href{http://www.arXiv.org/abs/1211.2220}{\texttt{ arXiv:1211.2220}}.
%%CITATION = ARXIV:1211.2220;%%.

\bibitem{Czakon:2013goa}
\hrefCMSnoop {} {M.~Czakon, P.~Fiedler, and A.~Mitov, ``{The total top quark
  pair production cross-section at hadron colliders through
  $\mathcal{O}(\alpha_S^4)$}'',} \textit{ Phys. Rev. Lett.} \textbf{ 110}
  (2013) 252004,
  \href{http://dx.doi.org/10.1103/PhysRevLett.110.252004}{\doi{10.1103/PhysRevLett.110.252004}},
\href{http://www.arXiv.org/abs/1303.6254}{\texttt{ arXiv:1303.6254}}.
%%CITATION = ARXIV:1303.6254;%%.

\bibitem{Degrassi:2012ry}
G.~Degrassi\hrefCMSnoop {} { {et~al.}, ``{Higgs mass and vacuum stability in
  the Standard Model at NNLO}'',} \textit{ JHEP} \textbf{ 08} (2012) 098,
  \href{http://dx.doi.org/10.1007/JHEP08(2012)098}{\doi{10.1007/JHEP08(2012)098}},
\href{http://www.arXiv.org/abs/1205.6497}{\texttt{ arXiv:1205.6497}}.
%%CITATION = ARXIV:1205.6497;%%.

\bibitem{Alekhin:2012py}
\hrefCMSnoop {} {S.~Alekhin, A.~Djouadi, and S.~Moch, ``{The top quark and
  Higgs boson masses and the stability of the electroweak vacuum}'',} \textit{
  Phys. Lett. B} \textbf{ 716} (2012) 214,
  \href{http://dx.doi.org/10.1016/j.physletb.2012.08.024}{\doi{10.1016/j.physletb.2012.08.024}},
\href{http://www.arXiv.org/abs/1207.0980}{\texttt{ arXiv:1207.0980}}.
%%CITATION = ARXIV:1207.0980;%%.

\bibitem{Aaltonen:2012ra}
\hrefCMSnoop {} {{CDF and D0 Collaborations}, ``{Combination of the top-quark
  mass measurements from the Tevatron collider}'',} \textit{ Phys. Rev. D}
  \textbf{ 86} (2012) 092003,
  \href{http://dx.doi.org/10.1103/PhysRevD.86.092003}{\doi{10.1103/PhysRevD.86.092003}},
  \href{http://www.arXiv.org/abs/1207.1069}{\texttt{ arXiv:1207.1069}}.
An update can be found in
  \href{http://www.arXiv.org/abs/arXiv:1305.3929}{arXiv:1305.3929}.
%%CITATION = ARXIV:1207.1069;%%.

\bibitem{Chatrchyan:2012cz}
\hrefCMSnoop {} {{ CMS} Collaboration, ``{Measurement of the top-quark mass in
  \ttbar events with lepton+jets final states in pp collisions at $\sqrt{s}$ =
  7~TeV}'',} \textit{ JHEP} \textbf{ 12} (2012) 105,
  \href{http://dx.doi.org/10.1007/JHEP12(2012)105}{\doi{10.1007/JHEP12(2012)105}},
\href{http://www.arXiv.org/abs/1209.2319}{\texttt{ arXiv:1209.2319}}.
%%CITATION = ARXIV:1209.2319;%%.

\bibitem{Chatrchyan:2012ea}
\hrefCMSnoop {} {{ CMS} Collaboration, ``{Measurement of the top-quark mass in
  \ttbar events with dilepton final states in pp collisions at $\sqrt{s}$ =
  7~TeV}'',} \textit{ Eur. Phys. J. C} \textbf{ 72} (2012) 2202,
  \href{http://dx.doi.org/10.1140/epjc/s10052-012-2202-z}{\doi{10.1140/epjc/s10052-012-2202-z}},
\href{http://www.arXiv.org/abs/1209.2393}{\texttt{ arXiv:1209.2393}}.
%%CITATION = ARXIV:1209.2393;%%.

\bibitem{Chatrchyan:2013boa}
\hrefCMSnoop {} {{ CMS} Collaboration, ``{Measurement of masses in the \ttbar
  system by kinematic endpoints in pp collisions at $\sqrt{s}$ = 7 TeV}'',}
  \textit{ Eur. Phys. J. C} \textbf{ 73} (2013) 2494,
  \href{http://dx.doi.org/10.1140/epjc/s10052-013-2494-7}{\doi{10.1140/epjc/s10052-013-2494-7}},
\href{http://www.arXiv.org/abs/1304.5783}{\texttt{ arXiv:1304.5783}}.
%%CITATION = ARXIV:1304.5783;%%.

\bibitem{Hoang:2008xm}
\hrefCMSnoop {} {A.~H. Hoang and I.~W. Stewart, ``{Top Mass Measurements from
  Jets and the Tevatron Top-Quark Mass}'',} \textit{ Nucl. Phys. Proc. Suppl.}
  \textbf{ 185} (2008) 220,
  \href{http://dx.doi.org/10.1016/j.nuclphysbps.2008.10.028}{\doi{10.1016/j.nuclphysbps.2008.10.028}},
\href{http://www.arXiv.org/abs/0808.0222}{\texttt{ arXiv:0808.0222}}.
%%CITATION = ARXIV:0808.0222;%%.

\bibitem{Ahrens:2011px}
V.~Ahrens\hrefCMSnoop {} { {et~al.}, ``{Precision predictions for the
  $t\bar{t}$ production cross section at hadron colliders}'',} \textit{ Phys.
  Lett. B} \textbf{ 703} (2011) 135,
  \href{http://dx.doi.org/10.1016/j.physletb.2011.07.058}{\doi{10.1016/j.physletb.2011.07.058}},
\href{http://www.arXiv.org/abs/1105.5824}{\texttt{ arXiv:1105.5824}}.
%%CITATION = ARXIV:1105.5824;%%.

\bibitem{Buckley:2011ms}
A.~Buckley\hrefCMSnoop {} { {et~al.}, ``{General-purpose event generators for
  LHC physics}'',} \textit{ Phys. Rept.} \textbf{ 504} (2011) 145,
  \href{http://dx.doi.org/10.1016/j.physrep.2011.03.005}{\doi{10.1016/j.physrep.2011.03.005}},
\href{http://www.arXiv.org/abs/1101.2599}{\texttt{ arXiv:1101.2599}}.
%%CITATION = ARXIV:1101.2599;%%.

\bibitem{Langenfeld:2009wd}
\hrefCMSnoop {} {U.~Langenfeld, S.~Moch, and P.~Uwer, ``{Measuring the running
  top-quark mass}'',} \textit{ Phys. Rev. D} \textbf{ 80} (2009) 054009,
  \href{http://dx.doi.org/10.1103/PhysRevD.80.054009}{\doi{10.1103/PhysRevD.80.054009}},
\href{http://www.arXiv.org/abs/0906.5273}{\texttt{ arXiv:0906.5273}}.
%%CITATION = ARXIV:0906.5273;%%.

\bibitem{Abazov:2011pta}
\hrefCMSnoop {} {{ D0} Collaboration, ``{Determination of the pole and
  $\overline{\text{MS}}$ masses of the top quark from the $t\bar{t}$ cross
  section}'',} \textit{ Phys. Lett. B} \textbf{ 703} (2011) 422,
  \href{http://dx.doi.org/10.1016/j.physletb.2011.08.015}{\doi{10.1016/j.physletb.2011.08.015}},
\href{http://www.arXiv.org/abs/1104.2887}{\texttt{ arXiv:1104.2887}}.
%%CITATION = ARXIV:1104.2887;%%.

\bibitem{Beneke:2011mq}
\hrefCMSnoop {} {M.~Beneke, P.~Falgari, S.~Klein, and C.~Schwinn, ``{Hadronic
  top-quark pair production with NNLL threshold resummation}'',} \textit{ Nucl.
  Phys. B} \textbf{ 855} (2012) 695,
  \href{http://dx.doi.org/10.1016/j.nuclphysb.2011.10.021}{\doi{10.1016/j.nuclphysb.2011.10.021}},
\href{http://www.arXiv.org/abs/1109.1536}{\texttt{ arXiv:1109.1536}}.
%%CITATION = ARXIV:1109.1536;%%.

\bibitem{Beneke:2012wb}
M.~Beneke\hrefCMSnoop {} { {et~al.}, ``{Inclusive top-pair production
  phenomenology with {TOPIXS}}'',} \textit{ JHEP} \textbf{ 07} (2012) 194,
  \href{http://dx.doi.org/10.1007/JHEP07(2012)194}{\doi{10.1007/JHEP07(2012)194}},
\href{http://www.arXiv.org/abs/1206.2454}{\texttt{ arXiv:1206.2454}}.
%%CITATION = ARXIV:1206.2454;%%.

\bibitem{Jegerlehner:2012kn}
\hrefCMSnoop {} {F.~Jegerlehner, M.~Y. Kalmykov, and B.~A. Kniehl, ``{On the
  difference between the pole and the $\overline{\text{MS}}$ masses of the top
  quark at the electroweak scale}'',} \textit{ Phys. Lett. B} \textbf{ 722}
  (2013) 123,
  \href{http://dx.doi.org/10.1016/j.physletb.2013.04.012}{\doi{10.1016/j.physletb.2013.04.012}},
\href{http://www.arXiv.org/abs/1212.4319}{\texttt{ arXiv:1212.4319}}.
%%CITATION = ARXIV:1212.4319;%%.

\bibitem{PhysRevD.86.010001}
\hrefCMSnoop {} {{Particle Data Group}, J.~Berringer {et~al.}, ``Review of
  Particle Physics'',} \textit{ Phys. Rev. D} \textbf{ 86} (2012) 010001,
  \href{http://dx.doi.org/10.1103/PhysRevD.86.010001}{\doi{10.1103/PhysRevD.86.010001}}.

\bibitem{Dissertori:2009ik}
G.~Dissertori\hrefCMSnoop {} { {et~al.}, ``{Determination of the strong
  coupling constant using matched NNLO+NLLA predictions for hadronic event
  shapes in $\Pep\Pem$ annihilations}'',} \textit{ JHEP} \textbf{ 08} (2009)
  036,
  \href{http://dx.doi.org/10.1088/1126-6708/2009/08/036}{\doi{10.1088/1126-6708/2009/08/036}},
\href{http://www.arXiv.org/abs/0906.3436}{\texttt{ arXiv:0906.3436}}.
%%CITATION = ARXIV:0906.3436;%%.

\bibitem{OPAL:2011aa}
\hrefCMSnoop {} {{ OPAL} Collaboration, ``{Determination of
  $\alpha_{\textrm{S}}$ using OPAL hadronic event shapes at $\sqrt{s}$ =
  91-209~GeV and resummed NNLO calculations}'',} \textit{ Eur. Phys. J. C}
  \textbf{ 71} (2011) 1733,
  \href{http://dx.doi.org/10.1140/epjc/s10052-011-1733-z}{\doi{10.1140/epjc/s10052-011-1733-z}},
\href{http://www.arXiv.org/abs/1101.1470}{\texttt{ arXiv:1101.1470}}.
%%CITATION = ARXIV:1101.1470;%%.

\bibitem{Dissertori:2009qa}
G.~Dissertori\hrefCMSnoop {} { {et~al.}, ``{Precise Determination of the Strong
  Coupling Constant at NNLO in QCD from the Three-Jet Rate in
  Electron--Positron Annihilation at LEP}'',} \textit{ Phys. Rev. Lett.}
  \textbf{ 104} (2010) 072002,
  \href{http://dx.doi.org/10.1103/PhysRevLett.104.072002}{\doi{10.1103/PhysRevLett.104.072002}},
\href{http://www.arXiv.org/abs/0910.4283}{\texttt{ arXiv:0910.4283}}.
%%CITATION = ARXIV:0910.4283;%%.

\bibitem{Abbate:2010xh}
R.~Abbate\hrefCMSnoop {} { {et~al.}, ``{Thrust at N${}^3$LL with power
  corrections and a precision global fit for $\alpha_S(m_Z)$}'',} \textit{
  Phys. Rev. D} \textbf{ 83} (2011) 074021,
  \href{http://dx.doi.org/10.1103/PhysRevD.83.074021}{\doi{10.1103/PhysRevD.83.074021}},
\href{http://www.arXiv.org/abs/1006.3080}{\texttt{ arXiv:1006.3080}}.
%%CITATION = ARXIV:1006.3080;%%.

\bibitem{:2012xib}
\hrefCMSnoop {} {{ D0} Collaboration, ``{Measurement of angular correlations of
  jets at $\sqrt{s}$ = 1.96 TeV and determination of the strong coupling at
  high momentum transfers}'',} \textit{ Phys. Lett. B} \textbf{ 718} (2012) 56,
  \href{http://dx.doi.org/10.1016/j.physletb.2012.10.003}{\doi{10.1016/j.physletb.2012.10.003}},
\href{http://www.arXiv.org/abs/1207.4957}{\texttt{ arXiv:1207.4957}}.
%%CITATION = ARXIV:1207.4957;%%.

\bibitem{Malaescu:2012ts}
\hrefCMSnoop {} {B.~Malaescu and P.~Starovoitov, ``{Evaluation of the strong
  coupling constant $\alpha_s$ using the ATLAS inclusive jet cross-section
  data}'',} \textit{ Eur. Phys. J. C} \textbf{ 72} (2012) 2041,
  \href{http://dx.doi.org/10.1140/epjc/s10052-012-2041-y}{\doi{10.1140/epjc/s10052-012-2041-y}},
\href{http://www.arXiv.org/abs/1203.5416}{\texttt{ arXiv:1203.5416}}.
%%CITATION = ARXIV:1203.5416;%%.

\bibitem{Chatrchyan:2013txa}
\hrefCMSnoop {} {{ CMS} Collaboration, ``{Measurement of the ratio of the
  inclusive 3-jet cross section to the inclusive 2-jet cross section in pp
  collisions at $\sqrt{s}$ = 7 TeV and first determination of the strong
  coupling constant in the TeV range}'',} \textit{ Eur. Phys. J. C} \textbf{
  73} (2013) 2604,
  \href{http://dx.doi.org/10.1140/epjc/s10052-013-2604-6}{\doi{10.1140/epjc/s10052-013-2604-6}},
\href{http://www.arXiv.org/abs/1304.7498}{\texttt{ arXiv:1304.7498}}.
%%CITATION = ARXIV:1304.7498;%%.

\bibitem{Abazov:2009nc}
\hrefCMSnoop {} {{ D0} Collaboration, ``{Determination of the strong coupling
  constant from the inclusive jet cross section in $p\bar{p}$ collisions at
  $\sqrt{s}$ = 1.96 TeV}'',} \textit{ Phys. Rev. D} \textbf{ 80} (2009) 111107,
  \href{http://dx.doi.org/10.1103/PhysRevD.80.111107}{\doi{10.1103/PhysRevD.80.111107}},
\href{http://www.arXiv.org/abs/0911.2710}{\texttt{ arXiv:0911.2710}}.
%%CITATION = ARXIV:0911.2710;%%.

\bibitem{Czakon:2013tha}
\hrefCMSnoop {} {M.~Czakon, M.~L. Mangano, A.~Mitov, and J.~Rojo,
  ``{Constraints on the gluon PDF from top quark pair production at hadron
  colliders}'',} (2013).
\href{http://www.arXiv.org/abs/1303.7215}{\texttt{ arXiv:1303.7215}}.
%%CITATION = ARXIV:1303.7215;%%.

\bibitem{Baernreuther:2012ws}
\hrefCMSnoop {} {P.~B{\"a}rnreuther, M.~Czakon, and A.~Mitov,
  ``{Percent-Level-Precision Physics at the Tevatron: Next-to-Next-to-Leading
  Order QCD Corrections to $q \bar{q} \to t \bar{t} + X$}'',} \textit{ Phys.
  Rev. Lett.} \textbf{ 109} (2012) 132001,
  \href{http://dx.doi.org/10.1103/PhysRevLett.109.132001}{\doi{10.1103/PhysRevLett.109.132001}},
\href{http://www.arXiv.org/abs/1204.5201}{\texttt{ arXiv:1204.5201}}.
%%CITATION = ARXIV:1204.5201;%%.

\bibitem{Czakon:2012zr}
\hrefCMSnoop {} {M.~Czakon and A.~Mitov, ``{NNLO corrections to top-pair
  production at hadron colliders: the all-fermionic scattering channels}'',}
  \textit{ JHEP} \textbf{ 12} (2012) 054,
  \href{http://dx.doi.org/10.1007/JHEP12(2012)054}{\doi{10.1007/JHEP12(2012)054}},
\href{http://www.arXiv.org/abs/1207.0236}{\texttt{ arXiv:1207.0236}}.
%%CITATION = ARXIV:1207.0236;%%.

\bibitem{Czakon:2012pz}
\hrefCMSnoop {} {M.~Czakon and A.~Mitov, ``{NNLO corrections to top pair
  production at hadron colliders: the quark-gluon reaction}'',} \textit{ JHEP}
  \textbf{ 01} (2013) 080,
  \href{http://dx.doi.org/10.1007/JHEP01(2013)080}{\doi{10.1007/JHEP01(2013)080}},
\href{http://www.arXiv.org/abs/1210.6832}{\texttt{ arXiv:1210.6832}}.
%%CITATION = ARXIV:1210.6832;%%.

\bibitem{Czakon:2011xx}
\hrefCMSnoop {} {M.~Czakon and A.~Mitov, ``{Top++: a program for the
  calculation of the top-pair cross-section at hadron colliders}'',} (2011).
\href{http://www.arXiv.org/abs/1112.5675}{\texttt{ arXiv:1112.5675}}.
%%CITATION = ARXIV:1112.5675;%%.

\bibitem{Beneke:2009rj}
\hrefCMSnoop {} {M.~Beneke, P.~Falgari, and C.~Schwinn, ``{Soft radiation in
  heavy-particle pair production: All-order colour structure and two-loop
  anomalous dimension}'',} \textit{ Nucl. Phys. B} \textbf{ 828} (2010) 69,
  \href{http://dx.doi.org/10.1016/j.nuclphysb.2009.11.004}{\doi{10.1016/j.nuclphysb.2009.11.004}},
\href{http://www.arXiv.org/abs/0907.1443}{\texttt{ arXiv:0907.1443}}.
%%CITATION = ARXIV:0907.1443;%%.

\bibitem{Czakon:2009zw}
\hrefCMSnoop {} {M.~Czakon, A.~Mitov, and G.~F. Sterman, ``{Threshold
  resummation for top-pair hadroproduction to next-to-next-to-leading log}'',}
  \textit{ Phys. Rev. D} \textbf{ 80} (2009) 074017,
  \href{http://dx.doi.org/10.1103/PhysRevD.80.074017}{\doi{10.1103/PhysRevD.80.074017}},
\href{http://www.arXiv.org/abs/0907.1790}{\texttt{ arXiv:0907.1790}}.
%%CITATION = ARXIV:0907.1790;%%.

\bibitem{Cacciari:2008zb}
M.~Cacciari\hrefCMSnoop {} { {et~al.}, ``{Updated predictions for the total
  production cross sections of top and of heavier quark pairs at the Tevatron
  and at the LHC}'',} \textit{ JHEP} \textbf{ 09} (2008) 127,
  \href{http://dx.doi.org/10.1088/1126-6708/2008/09/127}{\doi{10.1088/1126-6708/2008/09/127}},
\href{http://www.arXiv.org/abs/0804.2800}{\texttt{ arXiv:0804.2800}}.
%%CITATION = ARXIV:0804.2800;%%.

\bibitem{Alekhin:2012ig}
\hrefCMSnoop {} {S.~Alekhin, J.~Bl{\"u}mlein, and S.~Moch, ``{Parton
  distribution functions and benchmark cross sections at
  next-to-next-to-leading order}'',} \textit{ Phys. Rev. D} \textbf{ 86} (2012)
  054009,
  \href{http://dx.doi.org/10.1103/PhysRevD.86.054009}{\doi{10.1103/PhysRevD.86.054009}},
\href{http://www.arXiv.org/abs/1202.2281}{\texttt{ arXiv:1202.2281}}.
%%CITATION = ARXIV:1202.2281;%%.

\bibitem{Gao:2013xoa}
J.~Gao\hrefCMSnoop {} { {et~al.}, ``{The CT10 NNLO Global Analysis of QCD}'',}
  (2013).
\href{http://www.arXiv.org/abs/1302.6246}{\texttt{ arXiv:1302.6246}}.
%%CITATION = ARXIV:1302.6246;%%.

\bibitem{HERA15NNLO}
\href
  {https://www.desy.de/h1zeus/combined_results/index.php?do=proton_structure}
  {{H1 and ZEUS Collaborations}, ``{HERA combined results---proton structure:
  HERAPDF1.5 NNLO}'',} 2011.
\newblock H1prelim-11-042, ZEUS-prel-11-002.

\bibitem{Martin:2009iq}
\hrefCMSnoop {} {A.~D. Martin, W.~J. Stirling, R.~S. Thorne, and G.~Watt,
  ``{Parton distributions for the LHC}'',} \textit{ Eur. Phys. J. C} \textbf{
  63} (2009) 189,
  \href{http://dx.doi.org/10.1140/epjc/s10052-009-1072-5}{\doi{10.1140/epjc/s10052-009-1072-5}},
\href{http://www.arXiv.org/abs/0901.0002}{\texttt{ arXiv:0901.0002}}.
%%CITATION = ARXIV:0901.0002;%%.

\bibitem{Martin:2009bu}
\hrefCMSnoop {} {A.~D. Martin, W.~J. Stirling, R.~S. Thorne, and G.~Watt,
  ``{Uncertainties on $\alpha_S$ in global PDF analyses and implications for
  predicted hadronic cross sections}'',} \textit{ Eur. Phys. J. C} \textbf{ 64}
  (2009) 653,
  \href{http://dx.doi.org/10.1140/epjc/s10052-009-1164-2}{\doi{10.1140/epjc/s10052-009-1164-2}},
\href{http://www.arXiv.org/abs/0905.3531}{\texttt{ arXiv:0905.3531}}.
%%CITATION = ARXIV:0905.3531;%%.

\bibitem{Ball:2012cx}
R.~D. Ball\hrefCMSnoop {} { {et~al.}, ``{Parton distributions with LHC
  data}'',} \textit{ Nucl. Phys. B} \textbf{ 867} (2013) 244,
  \href{http://dx.doi.org/10.1016/j.nuclphysb.2012.10.003}{\doi{10.1016/j.nuclphysb.2012.10.003}},
\href{http://www.arXiv.org/abs/1207.1303}{\texttt{ arXiv:1207.1303}}.
%%CITATION = ARXIV:1207.1303;%%.

\bibitem{Ball:2011us}
R.~D. Ball\hrefCMSnoop {} { {et~al.}, ``{Precision NNLO determination of
  $\alpha_s (M_Z)$ using an unbiased global parton set}'',} \textit{ Phys.
  Lett. B} \textbf{ 707} (2012) 66,
  \href{http://dx.doi.org/10.1016/j.physletb.2011.11.053}{\doi{10.1016/j.physletb.2011.11.053}},
\href{http://www.arXiv.org/abs/1110.2483}{\texttt{ arXiv:1110.2483}}.
%%CITATION = ARXIV:1110.2483;%%.

\bibitem{Pumplin:2005rh}
J.~Pumplin\hrefCMSnoop {} { {et~al.}, ``{Parton distributions and the strong
  coupling: CTEQ6AB PDFs}'',} \textit{ JHEP} \textbf{ 02} (2006) 032,
  \href{http://dx.doi.org/10.1088/1126-6708/2006/02/032}{\doi{10.1088/1126-6708/2006/02/032}},
\href{http://www.arXiv.org/abs/hep-ph/0512167}{\texttt{ arXiv:hep-ph/0512167}}.
%%CITATION = HEP-PH/0512167;%%.

\bibitem{Alioli:2010xd}
\hrefCMSnoop {} {S.~Alioli, P.~Nason, C.~Oleari, and E.~Re, ``{A general
  framework for implementing NLO calculations in shower Monte Carlo programs:
  the POWHEG BOX}'',} \textit{ JHEP} \textbf{ 06} (2010) 043,
  \href{http://dx.doi.org/10.1007/JHEP06(2010)043}{\doi{10.1007/JHEP06(2010)043}},
\href{http://www.arXiv.org/abs/1002.2581}{\texttt{ arXiv:1002.2581}}.
%%CITATION = ARXIV:1002.2581;%%.

\bibitem{Frixione:2007nw}
\hrefCMSnoop {} {S.~Frixione, P.~Nason, and G.~Ridolfi, ``{A positive-weight
  next-to-leading-order Monte Carlo for heavy flavour hadroproduction}'',}
  \textit{ JHEP} \textbf{ 09} (2007) 126,
  \href{http://dx.doi.org/10.1088/1126-6708/2007/09/126}{\doi{10.1088/1126-6708/2007/09/126}},
\href{http://www.arXiv.org/abs/0707.3088}{\texttt{ arXiv:0707.3088}}.
%%CITATION = ARXIV:0707.3088;%%.

\bibitem{Sjostrand:2006za}
\hrefCMSnoop {} {T.~Sj{\"o}strand, S.~Mrenna, and P.~Z. Skands, ``{PYTHIA 6.4
  physics and manual}'',} \textit{ JHEP} \textbf{ 05} (2006) 026,
  \href{http://dx.doi.org/10.1088/1126-6708/2006/05/026}{\doi{10.1088/1126-6708/2006/05/026}},
\href{http://www.arXiv.org/abs/hep-ph/0603175}{\texttt{ arXiv:hep-ph/0603175}}.
%%CITATION = HEP-PH/0603175;%%.

\bibitem{Campbell:2012uf}
\hrefCMSnoop {} {J.~M. Campbell and R.~K. Ellis, ``{Top-quark processes at NLO
  in production and decay}'',} (2012).
\href{http://www.arXiv.org/abs/1204.1513}{\texttt{ arXiv:1204.1513}}.
%%CITATION = ARXIV:1204.1513;%%.

\bibitem{Eberhardt:2012gv}
O.~Eberhardt\hrefCMSnoop {} { {et~al.}, ``{Impact of a Higgs boson at a mass of
  126 GeV on the standard model with three and four fermion generations}'',}
  \textit{ Phys. Rev. Lett.} \textbf{ 109} (2012) 241802,
  \href{http://dx.doi.org/10.1103/PhysRevLett.109.241802}{\doi{10.1103/PhysRevLett.109.241802}},
\href{http://www.arXiv.org/abs/1209.1101}{\texttt{ arXiv:1209.1101}}.
%%CITATION = ARXIV:1209.1101;%%.

\bibitem{Baak:2012kk}
M.~Baak\hrefCMSnoop {} { {et~al.}, ``{The electroweak fit of the standard model
  after the discovery of a new boson at the LHC}'',} \textit{ Eur. Phys. J. C}
  \textbf{ 72} (2012) 2205,
  \href{http://dx.doi.org/10.1140/epjc/s10052-012-2205-9}{\doi{10.1140/epjc/s10052-012-2205-9}},
\href{http://www.arXiv.org/abs/1209.2716}{\texttt{ arXiv:1209.2716}}.
%%CITATION = ARXIV:1209.2716;%%.

\bibitem{Aad:2012tfa}
\hrefCMSnoop {} {{ ATLAS} Collaboration, ``{Observation of a new particle in
  the search for the Standard Model Higgs boson with the ATLAS detector at the
  LHC}'',} \textit{ Phys. Lett. B} \textbf{ 716} (2012) 1,
  \href{http://dx.doi.org/10.1016/j.physletb.2012.08.020}{\doi{10.1016/j.physletb.2012.08.020}},
\href{http://www.arXiv.org/abs/1207.7214}{\texttt{ arXiv:1207.7214}}.
%%CITATION = ARXIV:1207.7214;%%.

\bibitem{Chatrchyan:2012ufa}
\hrefCMSnoop {} {{ CMS} Collaboration, ``{Observation of a new boson at a mass
  of 125~GeV with the CMS experiment at the LHC}'',} \textit{ Phys. Lett. B}
  \textbf{ 716} (2012) 30,
  \href{http://dx.doi.org/10.1016/j.physletb.2012.08.021}{\doi{10.1016/j.physletb.2012.08.021}},
\href{http://www.arXiv.org/abs/1207.7235}{\texttt{ arXiv:1207.7235}}.
%%CITATION = ARXIV:1207.7235;%%.

\bibitem{Wenninger:1546734}
\href {http://cdsweb.cern.ch/record/1546734} {J.~Wenninger, ``Energy
  Calibration of the LHC Beams at 4 TeV'',} Accelerators \& Technology Sector
  Reports CERN-ATS-2013-040, CERN, 2013.

\bibitem{Ball:2008by}
R.~D. Ball\hrefCMSnoop {} { {et~al.}, ``{A determination of parton
  distributions with faithful uncertainty estimation}'',} \textit{ Nucl. Phys.
  B} \textbf{ 809} (2009) 1,
  \href{http://dx.doi.org/10.1016/j.nuclphysb.2008.09.037}{\doi{10.1016/j.nuclphysb.2008.09.037}},
\href{http://www.arXiv.org/abs/0808.1231}{\texttt{ arXiv:0808.1231}}.
%%CITATION = ARXIV:0808.1231;%%.

\end{thebibliography}\endgroup
