$CP$ content of $D^{0
Jim Libby\support
Quantum-correlated $\psi(3770) \to D\bar{D$ decays collected by the CLEO-c experiment are used to perform measurements of $F_+$, the fractional $CP$-even content of the self-conjugate decays $D \to \pi^+\pi^-\pi^0$ and $D \to K^+K^-\pi^0$. Values of $0.973 \pm 0.017$ and $0.732 \pm 0.055$ are obtained for $\pi^+\pi^-\pi^0$ and $ K^+K^-\pi^0$, respectively. The high $CP$-even content of $D \to \pi^+\pi^-\pi^0$, in particular, makes this a promising mode for improving the precision on $\gamma$ and for measurements of $CP$ violation in $D$ decay.
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\def\iitm{Department of Physics, Indian Institute of Technology, Madras\\
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\Title{$CP$ content of $D^{0}\to h^{+}h^{-}\pi^{0}$}
\vfill
\Author{Jim Libby\support}
% put in address(es) defined above
\Address{\iitm}
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\begin{Abstract}
Quantum-correlated $\psi(3770) \to D\bar{D}$ decays collected by the CLEO-c experiment are used to perform measurements of $F_+$, the fractional $CP$-even content of the self-conjugate decays $D \to \pi^+\pi^-\pi^0$ and $D \to K^+K^-\pi^0$.  Values of
$0.973 \pm 0.017$  and  $0.732 \pm 0.055$ are obtained for $\pi^+\pi^-\pi^0$ and $ K^+K^-\pi^0$, respectively.  The high $CP$-even content of  $D \to \pi^+\pi^-\pi^0$, in particular, makes this a promising mode for improving the precision on $\gamma$ and for measurements of $CP$ violation in $D$ decay.
\end{Abstract}
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\begin{Presented}
The 7th International Workshop on Charm Physics (CHARM 2015)\\
Detroit, MI, 18-22 May, 2015
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%
%% main text
\section{Introduction}
\label{sec:intro}

A better determination of the unitarity triangle angle $\gamma= \arg({-V_{\rm ud}V^*_{\rm ub}/  V_{\rm cd}V_{\rm cb}^*})$ is required for testing the $CP$ violation mechanism within the Standard Model.  Sensitivity to $\gamma$
can be obtained by studying $CP$-violating observables in $B^\mp \to D K^\mp$ decays, where $D$ indicates a neutral charm meson reconstructed in a final state common to both $D^0$ and $\bar{D}^0$ mesons, including $CP$-eigenstates~\cite{GLW}. The current world average precision on $\gamma$ is much worse than that of the other angles of the unitarity triangle~\cite{PDG}. Therefore, including additional $D$-meson final states is desirable to reduce the statistical uncertainty on $\gamma$ at current and future facilities. 

In the case that the $D$ does not decay to a pure $CP$ eigenstate, information is required on the strong decay dynamics in order  to relate the $CP$-violating observables to $\gamma$. This information can be obtained from studies of quantum-correlated $D\bar{D}$  mesons produced in $e^{+}e^{-}$ collisions at an energy corresponding to the mass of the $\psi(3770)$~\cite{GGR,GGSZ,ANTONBONDAR,ATWOODSONI}. The decay $D \to \pi^+\pi^-\pi^0$ is a promising candidate to be added to the modes used in the $\gamma$ measurement.   
Its Dalitz plot  has been studied by the CLEO and BaBar collaboration using flavour-tagged $D^0$ decays and exhibits a strikingly symmetric distribution that suggests the decay may be dominated by a single $CP$ eigenstate~\cite{CLEOPIPIPI0,BaBarPIPIPI0}.  An isospin analysis \cite{BRIAN} of the amplitude model for $D^{0}\to \pi^+\pi^-\pi^0$ presented in Ref.~\cite{BaBarPIPIPI0} concludes that the final state is almost exclusively $I=0$. Therefore, given that the parity and $G$-parity of the three-pion final state is odd and $G=(-1)^{I}C$, the final state is expected to be $C=-1$ and $CP=+1$.  As its branching ratio of $1.43 \pm 0.06\%$~\cite{PDG} is significantly larger than those of the pure two-body $CP$-even modes, it has the potential to contribute strongly in any analysis making use of such decays. The channel $D\to K^+ K^- \pi^0$ is a similar, but less abundant, self-conjugate mode that has also attracted interest  \cite{CLEOKKPI0,BaBarKKPI0}.  These proceedings present the first analysis of these decays using quantum-correlated $D\bar{D}$ decays,  and measurements of their $CP$ content, making use of the CLEO-c $\psi(3770)$ data set.  These measurements allow the inclusive decays to be included in future $B^\mp \to DK^\mp$ analyses in a straightforward and model-independent manner, thus allowing for an improved determination of the angle $\gamma$. Further it has been shown that improved determinations of CP violating parameters in the charm sector can be made with these measurements \cite{THOMAS}.

These proceedings are based on Refs. \cite{NAYAK} and \cite{4PI} and  are structured as follows. Section~\ref{sec:cpcontent} describes how quantum-correlated $D$ decays are used to determine the $CP$ content. The results  are presented in Sect.~\ref{sec:results}. In Sect.~\ref{sec:implications}  the implications for the measurement of the unitarity triangle angle $\gamma$ are discussed. Section~\ref{sec:conc} gives the conclusions. 
    	
\section{Measuring the $CP$ content}\label{sec:cpcontent}

Consider a  $\psi(3770) \to D\bar{D}$ analysis in which the signal decay mode is $D \to h^+h^-\pi^0$.
Let $M^+$ designate the number of ``double-tagged'' candidates, after background subtraction, where one $D$ meson is reconstructed in the signal mode of interest, and the other is reconstructed in a $CP$-odd eigenstate.  The quantum-numbers of the $\psi(3770)$ resonance then require that the signal mode is in a $CP$-even state, hence the $+$ superscript.  The observable $M^-$ is defined in an analogous manner.   Let $S^+$ ($S^-$) designate the number of  ``single-tagged'' $CP$-odd ($CP$-even) candidates in the data sample, where a $D$ meson is reconstructed decaying to a $CP$ eigenstate, with no requirement on the final state of the other $D$ meson in the event.  The small  effects  of $D^0\bar{D}^0$ mixing are eliminated from the measurement \cite{NAYAK}.

On the assumption that for double-tagged candidates the reconstruction efficiencies of each $D$ meson are independent,  then the quantity $N^{+} \equiv M^+ / S^+$ has no dependence on the branching fractions or reconstruction efficiencies of the $CP$-eigenstate modes, and can be directly compared with the analogous quantity $N^-$ to gain insight into the $CP$ content of the signal mode.  The $CP$ fraction is defined
\begin{equation}
F_+ \equiv \frac{N^+}{N^+ \, + \, N^-} \; ,
\label{eq:Fplus}
\end{equation}
and is $1$ ($0$) for a signal mode that is fully $CP$-even ($CP$-odd).   The notation $F_+ (\pi^+\pi^-\pi^0)$ and  $F_+ (K^+K^-\pi^0)$ is used in the discussion when it is necessary to distinguish between the two final states. In addition, tagging the final state with 
$K^{0}\pi^{+}\pi^{-}$ and measuring the yield in bins of the $K^{0}\pi^{+}\pi^{-}$ Dalitz of plot for which the strong phase parameters of the decay are known \cite{CLEOKSPIPI} yields further sensitivity to $F_{+}$ \cite{4PI}.

Amplitude models of $D^0 \to \pi^+\pi^-\pi^0$ and $D^0 \to K^+K^-\pi^0$ are available from studies of flavour-tagged $D^0$ decays performed by the BaBar collaboration~\cite{BaBarPIPIPI0,BaBarKKPI0}.  These models can be used to calculate predictions for the $CP$ content for each decay.  Values of  $F_+ ({\pi^+\pi^-\pi^0}) = 0.92$ and   $F_+ ({K^+K^-\pi^0}) = 0.64$ are obtained.


 %%
%% Suppress the below as it gives too much emphasis to the self-tags, which are ultimately not used.
%%
%Experimentally it is convenient to make use of a normalisation mode of similar topology, such as $D \to K^\mp \pi^\pm \pi^0$.  The number of double tags $M^{\rm self}_{\rm norm}$ %containing the final states $D \to K^-\pi^+\pi^0$ and
%$D \to  K^+\pi^-\pi^0$ has negligible difference from what is expected in the uncorrelated case~\cite{ATWOODSONI}, and so $R = M^{\rm self}_{\rm norm} (S^{\rm sig}/S^{\rm %norm})^2$, where $S^{\rm sig}$ and $S^{\rm norm}$ are the number of single tags reconstructed in the signal and normalisation mode, respectively.



\section{Results}\label{sec:results}
The data set analysed consists of $e^+e^-$ collisions produced by the Cornell Electron Storage Ring (CESR) at $\sqrt{s}=3.77$~GeV and collected with the CLEO-c detector. The integrated luminosity of the data set is 818~$\rm pb^{-1}$.  The CLEO-c detector is described in detail elsewhere~\cite{CLEOC}.  Simulated Monte Carlo (MC) samples of signal decays are used to estimate selection efficiencies. Possible background contributions are determined from a generic MC sample corresponding to
approximately ten times the integrated luminosity of the data set.  The EVTGEN generator~\cite{EVTGEN} is used to simulate the decays.  The detector response is modelled using the  GEANT software package~\cite{GEANT}.

Table~\ref{tab:finalstates} lists the reconstructed $D^{0}$ and
$\bar{D}^{0}$ final states. The unstable final state particles are reconstructed in the following decay modes: $\pi^{0}\to\gamma\gamma$, $K^{0}_{\rm S}\to\pi^{+}\pi^{-}$,
$\omega\to\pi^+\pi^-\pi^0$, 
%$\phi\to K^{+}K^{-}$, 
$\eta\to\gamma\gamma$, $\eta\to\pi^+\pi^-\pi^0$ and
$\eta^{\prime}\to\eta(\gamma\gamma)\pi^{+}\pi^{-}$. The $\pi^{0}$, $K^{0}_{\rm S}$, $\omega$, $\eta$ and $\eta^{\prime}$  
reconstruction procedure is identical to that used in Ref. \cite{WINGS}. 

\begin{table}[th]
\begin{center}
\caption{$D$ final states reconstructed in this analysis.} \vspace*{0.1cm}
\label{tab:finalstates}
\begin{tabular}{cc}\hline\hline
Type & Final states \\ \hline
Signal & $\pi^+\pi^-\pi^0$, $K^+K^-\pi^0$ \\
$CP$-even & $K^{+}K^{-}$, $\pi^{+}\pi^{-}$, $K^{0}_{\rm S}\pi^{0}\pi^{0}$, $K^{0}_{\rm L}\pi^{0}$, $K^{0}_{\rm L}\omega$ \\
%$CP$-odd  & $K^{0}_{\rm S}\pi^{0}$, $K^{0}_{\rm S}\omega$, $K^{0}_{\rm S}\phi$, $K^{0}_{\rm S}\eta$, $K^{0}_{\rm S}\eta^{\prime}$ \\
$CP$-odd  & $K^{0}_{\rm S}\pi^{0}$, $K^{0}_{\rm S}\omega$, $K^{0}_{\rm S}\eta$, $K^{0}_{\rm S}\eta^{\prime}$ \\
Mixed CP & $K^{0}_{\rm S}\pi^{+}\pi^{-}$, $K^{0}_{L}\pi^{+}\pi^{-}$ \\
\hline   
\hline   
\end{tabular}
\end{center}
\end{table}

Final states that do not contain a $K^{0}_{\rm L}$ are fully reconstructed via two kinematic variables: the %%@
beam-constrained candidate mass, $M_{bc}\equiv\sqrt{s/4c^{4}-\mathbf{p}_{D}^{2}/c^{2}}$, where %%@
$\mathbf{p}_{D}$ is the $D$-candidate momentum, and $\Delta E\equiv E_{D}-\sqrt{s}/2$, where $E_{D}$ is the %%@
$D$-candidate energy. The $M_{bc}$ and $\Delta E$ distributions of correctly reconstructed $D$-meson candidates will peak at the nominal $D^{0}$ mass and zero, respectively. Neither $\Delta E$ nor $M_{bc}$ distributions exhibit any peaking structure for combinatoric background. The double-tagged yield is determined from counting events in signal and
sideband regions of $M_{bc}$ after placing requirements on $\Delta E$. The yield determination procedure is identical to that presented in Refs.~\cite{TQCA1,WINGS}. 

The selection procedures are almost identical to those presented in Refs.~\cite{TQCA1,WINGS}; additional details of the selection can be found in Ref.~\cite{NAYAK}.  Figure~\ref{fig:hhpi0_signal_mbc} shows the $M_{bc}$ distributions for $CP$-tagged signal candidates, summed over all $CP$-even and $CP$-odd tags, respectively, where the $CP$-tag final state does not contain a $K^{0}_{\rm L}$ meson. No significant signal is seen in any of the modes tagged by a $CP$-even eigenstate, whereas significant signals are seen in most modes tagged by $CP$-odd eigenstates.

Many $K^{0}_{\rm L}$ mesons produced do not deposit any reconstructible signal in the detector. However, double-tag candidates can be fully reconstructed using a missing-mass squared $(M_{\mathrm{miss}}^2)$ technique \cite{K0LPRL} for tags containing a single $K^{0}_{\rm L}$ meson. Yields are extracted from the signal and sideband regions of the
$M_{\mathrm{miss}}^2$ distribution. Figure~\ref{fig:hhpi0_signal_MM2}  shows the $M_{\mathrm{miss}}^2$ distributions for candidates tagged with either a $K^0_{\rm L} \pi^0$ or $K^0_{\rm L} \omega$ tag.

\begin{figure}[th]
\begin{center}
\begin{tabular}{cc}
\includegraphics[width=0.45\columnwidth]{pipipi0CPEvenTag.pdf} &
\includegraphics[width=0.45\columnwidth]{pipipi0CPOddTag.pdf}
%\includegraphics[width=0.45\columnwidth]{KKpi0CPEvenTag.pdf} &
%\includegraphics[width=0.45\columnwidth]{KKpi0CPOddTag.pdf}
\end{tabular}
\caption{$M_{bc}$ distributions for $D \to\pi^+\pi^-\pi^0$ candidates tagged by $CP$-even (a) and  $CP$-odd (b) eigenstates. Tags involving a $K^0_{\rm L}$ are not included.
The vertical dotted lines indicate the applied signal window.}  \label{fig:hhpi0_signal_mbc}
\end{center}
\end{figure}



\begin{figure} 
\begin{center}
\begin{tabular}{c}
\includegraphics[width=0.45\columnwidth]{pipipi0_KL.pdf} 
\end{tabular}
\caption{$M_{\mathrm{miss}}^2$ distributions for $D \to\pi^{+}\pi^{-}\pi^{0}$. The shaded histogram indicates the peaking background. The vertical dotted lines indicate the applied signal window.} \label{fig:hhpi0_signal_MM2}
\end{center}
\end{figure}

It is also necessary to know the single-tag yield for the $CP$-eigenstates to normalise the double-tagged yields appropriately to obtain a value of $F_{+}$. The details of this selection can be found in Ref.~\cite{NAYAK}

The yields of double-tagged and single $CP$-tag candidates are used to determine the quantities $N^+$ and $N^-$, and from these the $CP$ fraction $F_+$.  The values for $N^+$ and $N^-$ are calculated from the ensemble of $CP$-odd and $CP$-even tags, respectively, accounting for statistical and systematic uncertainties, and allowing for the correlations that exist between certain systematic components. 


The measured values for $N^+$ and $N^-$ for the two signal modes are displayed in Fig.~\ref{fig:results}.  It can be seen that there is consistency between the individual $CP$ tags for each measurement.  From these results it is determined that
$F_+ ({\pi^+\pi^-\pi^0}) = 0.968 \pm 0.017 \pm 0.006$  and  $F_+({K^+K^-\pi^0}) = 0.731 \pm 0.058 \pm 0.021$, where the first uncertainty is statistical and the second is systematic. In addition, the binned yields from the $K^{0}_{L,S}\pi^{+}\pi^{-}$ tagged are used to determine values of $F_+$ which are found to be consistent with those from the $CP$ tags alone \cite{4PI}. The combined values are $0.973 \pm 0.017$  and  $0.732 \pm 0.055$ for $\pi^+\pi^-\pi^0$ and $ K^+K^-\pi^0$, respectively \cite{4PI}. These values are slightly higher than, but compatible with, the model predictions  reported in Sect.~\ref{sec:cpcontent}.
%
% Here are results without efficiency systematic: 6/10/2014
%Pipip0:  0.968 +/- 0.017 +/- 0.0061
%KKpi0 :  0.731 +/- 0.058 +/- 0.0190
%

\begin{figure}[th]
\begin{center}
\begin{tabular}{cc}
\includegraphics[width=0.45\columnwidth]{pipipi0_N+.pdf} &
\includegraphics[width=0.45\columnwidth]{pipipi0_N-.pdf} \\
%\includegraphics[width=0.45\columnwidth]{kkpi0_N+.pdf} &
%\includegraphics[width=0.45\columnwidth]{kkpi0_N-.pdf} 
\end{tabular}
\caption{$D \to \pi^+\pi^-\pi^0$ results for $N^+$ (a) and $N^-$ (b).  
In each plot the vertical yellow band indicates the value obtained from the combination of all tags.  }  \label{fig:results}
\end{center}
\end{figure}

\section{Implications for the measurement of  $\boldmath \gamma$} 
\label{sec:implications}

Sensitivity to the unitarity triangle angle $\gamma$ is obtained by measuring the relative rates of $B^\mp \to D({h^+h^-\pi^0}) K^\mp$ decays and related observables. These partial widths and those involving flavour-specific $D$ meson decays can be used to construct the  partial-widths ratio $R_{F_+}$ and $CP$-asymmetry $A_{F_+}$:
\begin{eqnarray}
R_{F_+}  & \equiv & 
\frac{ \Gamma(B^-\to D_{F_+} K^- ) \,+\,  \Gamma(B^+ \to D_{F_+} K^+ ) }
{ \Gamma(B^-\to D^0 K^- ) \,+ \,  \Gamma(B^+ \to \bar{D}^0 K^+ ) }, \\
A_{F_+} & \equiv & 
\frac{ \Gamma(B^-\to D_{F_+} K^- ) \,-\,  \Gamma(B^+ \to D_{F_+}K^+) }
{ \Gamma(B^-\to D_{F_+} K^- ) \,+ \,  \Gamma(B^+ \to D_{F_+ } K^+)} , 
\end{eqnarray}
where $D_{F_+}$ indicates a $D$ meson of $CP$-even content $F_+$, established through its decay into the final state $h^+h^-\pi^0$.  These observables are directly analogous to the usual so-called GLW~\cite{GLW} observables  $R_{{\rm CP }\pm}$ and $A_{{\rm CP} \pm}$, where the $D$ meson is reconstructed in a pure $CP$ eigenstate.

   Then  $R_{F_+}$ and $A_{F_+}$ are found \cite{NAYAK} to have the following dependence on the underlying physics parameters:
\begin{eqnarray}
R_{F_+}  & = & 1 \, + \, r_B^2 + (2F_+ -1) \cdot 2r_B\cos\delta_B \cos \gamma,  \\
A_{F_+} &=& (2F_+ -1 ) \cdot 2r_B \sin\delta_B \sin\gamma / R_{{F_+}},
\end{eqnarray}
which reduces to the equivalent expressions for  $R_{{\rm CP }\pm}$ and $A_{{\rm CP} \pm}$ in the case $F_+$ is $1$ or $0$.  Therefore inclusive final states such as $h^+h^-\pi^0$ may be cleanly interpreted in terms of $\gamma$ and the other parameters of interest, provided that $F_+$ is known.  At leading order the only difference that the $CP$ asymmetry $A_{F_+}$ has with respect to the pure $CP$-eigenstate case is a dilution factor of $(2F_+ -1)$. 

 
\section{Conclusion}\label{sec:conc}
Data corresponding to an integrated luminosity of 818~$\rm pb^{-1}$ collected by the CLEO-c experiment in $e^+e^-$ collisions at the $\psi(3770)$ resonance have been analysed for the decays $D \to \pi^+\pi^-\pi^0$ and $D \to K^+K^-\pi^0$.  Measurements of  $F_+$, the fractional $CP$-even content of each decay have been performed showing that $D^{0}\to\pi^+\pi^-\pi^0$ is nearly a pure $CP$-even eigenstate.
It has been demonstrated that such self-conjugate inclusive channels can be cleanly included in measurements of the unitarity-triangle angle $\gamma$, using $B^\mp \to D K^\mp$ decays.  The high value of $F_+$  obtained for  $D \to \pi^+\pi^-\pi^0$ makes this channel, in particular, a valuable addition to the suite of $D$-decay modes used in the measurement of $\gamma$ at LHCb and Belle-II.  Improved precision on the $F_+$ parameters can be obtained using the larger $\psi(3770)$ data set available at BESIII, and similar measurements can also be performed for other self-conjugate final states.

%\begin{figure}
%\centering
%\includegraphics[width=0.48\textwidth]{KsPiPi8binsForCharmMixing_smaller.pdf}
%\includegraphics[width=0.48\textwidth]{KsKK4binsForCharmMixing_smaller.pdf}
%\caption{Equal  $\Delta \delta_D$ BaBar binning for \KsPiPi (left) and for \KsKK (right).}
%\label{fig:binplots}
%\end{figure}


 
\section*{Acknowledgments}

This analysis was performed using CLEO-c data, and as a member of the former CLEO collaboration I thank it for this privilege. I am grateful for support from the UK-India  Education and Research Initiative.


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%\bibitem{TREEGAMMA} J. Brod and J. Zupan, {\it  	
%The ultimate theoretical error on $\gamma$ from $B\to DK$ decays}, JHEP 1311 (2013) 180,  arXiv:1310.1385 [hep-ph].
%\bibitem{HFAG} Y.~Amhis {\it et al.} (HFAG), {\it Averages of b-hadron, c-hadron, and $\tau$-lepton properties as of early 2012}, arXiv:1207.1158, online updates at http://www.slac.stanford.edu/xorg/hfag.    Numbers taken from June 2014 charm physics
update.
\bibitem{CLEOC} Y.~Kubota {\it et al.} (CLEO collaboration), Nucl. Instrum. Meth. {\bf A 320} (1992) 66; D.~Peterson {\it et al.},   Nucl. Instrum. Meth. {\bf A 478} (2002) 142; M. Artuso {\it et al.},  Nucl. Instrum. Meth.  {\bf A 502} (2003) 91; R.A.~Briere {\it et al.} (CLEO-c/CESR-c Taskforces and CLEO-c collaboration), Cornell LEPP Report CLNS Report No. 01/1742 (2001).
\bibitem{EVTGEN} D.J.~Lange,  Nucl. Instrum. Meth. {\bf A 462} (2001) 152.
\bibitem{GEANT} R.~Brun {\it et al.}, GEANT 3.21, CERN Program Library Long Writeup W5013, unpublished.
\bibitem{WINGS} N.~Lowrey {\it et al.} (CLEO collaboration), Phys. Rev. {\bf D 80} (2009) 031105(R).
\bibitem{TQCA1} D.M.~Asner {\it et al.} (CLEO collaboration), Phys. Rev. {\bf D 78} (2008) 012001.
\bibitem{K0LPRL}  Q.~He {\it et~al.} (CLEO collaboration), Phys. Rev. Lett. \textbf{100} (2008) 091801.
%\bibitem{CB} T. Skwarnicki, {\it A Study of the radiative cascade transitions between the $\Upsilon$ and $\Upsilon^\prime$ resonances}, Ph.D Thesis, DESY F31-86-02 (1986), Appendix E.
%\bibitem{ARGUS} H. Albrecht {\it et al.} (ARGUS collaboration), {\it Search for hadronic $b\to u$ decays}, Phys. Lett. {\bf B 241} (1990) 278.
%\bibitem{RAMA} M.~Rama, {\it Effect of $D-\bar{D}$ mixing in the extraction of $\gamma$ with $B^- \to D^0 K^-$ and $B^- \to D^0 \pi^-$ decays}, Phys. Rev. {\bf D 89} (2014) 014021, arXiv:1307.4384 [hep-ex].



%\bibitem{SNEHA} S.~Malde and G.~Wilkinson, {\it $D^0 - \bar{D}{}^0$ mixing studies with the decays $D^0 \to K^0_S K^\mp \pi^\pm$}, Phys. Lett. {\bf B 701} (2011) 353, arXiv:1104.2731 [hep-ph].
%\bibitem{LHCBK3PI} R.~Aaij {\it et al.} (LHCb collaboration), {\it Observation of the suppressed ADS modes $B^\pm \to [\pi^\pm K^\mp \pi^+\pi^-]_D K^\pm$ and $B^\pm \to [\pi^\pm K^\mp \pi^+\pi^-]_D \pi^\pm$}, Phys. Lett. {\bf B 723} (2013) 44, arXiv:1304.4646 [hep-ex].
%\bibitem{LHCBGAMMA} R.~Aaij {\it et al.} (LHCb collaboration), {\it Measurement of the CKM angle $\gamma$ from a combination of $B \to Dh$ analyses}, arXiv:1305.2050 [hep-ex].
%\bibitem{BELLEKPIPI0} K.~Negishi, {\it Measurements of $\phi_3$ at Belle}, presentation at EPS HEP 2013 Stockholm, July 2013.
%\bibitem{BELLEKPIPI0} M.~Nayak {\it et al.} (Belle collaboration), {\it Evidence for the suppressed decay $B^- \to DK^-$, $D \to K^+\pi^-\pi^0$}, Phys. Rev. {\bf D 88} (2013) 091104(R), arXiv:1310.1741 [hep-ex].
%\bibitem{BELLE_2010} A.~Poluektov {\it et al.} (Belle collaboration), {\it Evidence for direct CP violation in the decay $B\to D^{(*)}K$, $D \to K^0_{\rm S}\pi^+\pi^-$ and measurement of the CKM phase $\phi_3$},  Phys. Rev. {\bf D 81} (2010) 112002, arXiv:1003.3360 [hep-ex].
%\bibitem{BaBar_2010} P.~del Amo Sanchez {\it et al.} (BaBar collaboration), {\it Evidence for direct CP violation in the measurement of the CKM angle $\gamma$ with $B^{\mp} \to D^{(*)}K^{(*)\mp}$ decays},  Phys. Rev. Lett. {\bf 105} (2010) 121801, arXiv:1005.1096 [hep-ex].
%\bibitem{BaBar_2008} B.~Aubert {\it et al.} (BaBar collaboration), {\it Improved measurement of the CKM angle $\gamma$ in $B^\mp \to D^{(*)}K^{(*)\mp}$ decays with a Dalitz plot analysis of $D$ decays to $K^0_S \pi^+\pi^-$ and $K^0_S K^+K^-$}, Phys. Rev. {\bf D 78} (2008) 034023., arXiv:0804.2089 [hep-ex].
%\bibitem{BaBar_2005} B.~Aubert {\it et al.} (BaBar collaboration), {\it Measurement of the Cabibbo-Kobayashi-Maskawa angle $\gamma$ in $B^\mp \to D^{(*)}K^\mp$ decays with a Dalitz analysis of $D^0 \to K^0_S \pi^-\pi^+$},  Phys. Rev. Lett. {\bf 95} (2005) 121802, arXiv:hep-ex/0504039.
%\bibitem{HFAG} Y.~Amhis {\it et al.} (HFAG), {\it Averages of b-hadron, c-hadron, and $\tau$-lepton properties as of early 2012}, arXiv:1207.1158, online updates at http://www.slac.stanford.edu/xorg/hfag.    Numbers taken from charm physics November 2013 
%update.
%\bibitem{NEWCLEO} X. Shi {\it et al.} (CLEO collaboration), {\it Updated Measurements of Absolute $D^{\pm}$ and $D^{0}$ Hadronic Branching Fractions and $\sigma(e^{+}e^{-})\to D\overline{D}$}, submitted to Phys. Rev.~{\bf D}, arXiv:1312.6775 [hep-ex].
%\bibitem{ERIC} E.~White {\it et al.} (Belle collaboration), {\it Measurement of the wrong-sign decay $D^0 \to K^+\pi^-\pi^+\pi^-$},  Phys. Rev. {\bf D 88} (2013) 051101, arXiv:1307.5935 [hep-ex].
%\bibitem{ANTONMIX} A.~Bondar, A.~Poleuktov and V.~Vorobiev, {\it Charm mixing in the model-independent analysis of correlated $D^0-\bar{D}{}^0$ decays}, Phys. Rev. {\bf D 82} (2010) 034033, arXiv:1004.2350 [hep-ex].
%\bibitem{PDG} J.~Beringer {\it et al.} (Particle Data Group), {\it Review of particle physics}, Phys. Rev. {\bf D 86} (2012) 010001.
%\bibitem{CLEOKSKPI} J.~Insler {\it et al.} (CLEO collaboration), {\it Studies of the decays of the $D^0 \to K^0_S K^-\pi^+$ and $D^0 \to K^0_S K^+\pi^-$}, Phys. Rev. {\bf D 85} (2012) 092016, arXiv:1203.3804 [hep-ex].
%\bibitem{LOOKUP_BaBar} F.~Martinez-Vidal and N.~Lopes-March, private communication.
%\bibitem{LOOKUP_BELLE} A.~Poluektov, private communication.
%\bibitem{KMATRIX} I.J.R.~Aitchison, {\it The K-matrix formalism for overlapping resonances},
%Nucl. Phys. {\bf A 189} (1972) 417. 
%\bibitem{LASS} D.~Aston {\it et al.} (LASS collaboration), {\it A study of $K^−\pi^+$ scattering in the reaction $K^-p\to %K^−\pi^+n$ at 11 GeV$/c$},
% Nucl. Phys. {\bf B 296} (1988) 493.

%\bibitem{CLEOCSTANDARD} S.~Dobbs {\it et al.} (CLEO collaboration), {\it Measurement of absolute hadronic branching fractions of $D$ mesons in $e^+e^- \to D\bar{D}$ cross sections at the $\psi(3770)$}, Phys. Rev. {\bf D 76} (2007) 112001, arXiv:0709.3783 [hep-ex].
%\bibitem{SCANS} The two-dimensional $\Delta\chi^2$ scans are available from the authors. Please email {\tt libby@iitm.ac.in}.

%\bibitem{BESIII} M. Ablikim {\it et al.} (BESIII collaboration), {\it Design and construction of the BESIII detector}, Nucl. Instrum. Meth. {\bf A  614} (2010) 345.

%% GLW analyses
%\bibitem{BABARGLW}  P.~del Amo Sanchez {\it et al.} (BaBar collaboration), {\it Measurement of CP observables in $B^\pm \to D_{CP} K^\pm$ decays and constraints on the angle $\gamma$}, Phys. Rev. {\bf D 82} (2010) 072004, arXiv:1007.0504 [hep-ex].
%\bibitem{BELLEGLW} K.~Abe {\it et al.} (Belle collaboration), {\it Study of $B^\pm \to D_{CP} K^\pm$ and $D^\ast_{CP} K^\pm$ decays}, Phys. Rev. {\bf D 73} (2006) 051106, arXiv:hep-ex/0601032.
%\bibitem{CDFGLW} T.~Aaltonen{\it et al.} (CDF collaboration), {\it Measurements of branching fraction ratios and CP asymmetries in $B^\pm \to D_{CP} K^\pm$ decays in hadron collisions}, Phys. Rev. {\bf D 81} (2010) 031105, arXiv:0911.0425 [hep-ex].
%\bibitem{LHCBGLW} R.~Aaij {\it et al.} (LHCb collaboration), {\it Observation of CP violation in $B^+ \to DK^+$ decays}, Phys. Lett. {\bf B~712} (2012) 203, Erratum ibid. {\bf B~713} (2012) 351, arXiv:1203.3662 [hep-ex].


\end{thebibliography}
\end{document}


econfmacros.tex


%%%  useful macros for econf proceedings articles:

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%%  single-line equations:

\def\beq{\begin{equation}}
\def\eeq#1{\label{#1}\end{equation}}
\def\eeqn{\end{equation}}

%%  multiple-line equations  (use \CR as the carriage return):

\def\beqa{\begin{eqnarray}}
\def\eeqa#1{\label{#1}\end{eqnarray}}
\def\eeqan{\end{eqnarray}}
\def\CR{\nonumber \\ }

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\def\leqn#1{(\ref{#1})}

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%%  bibliographic entries   (use this or the SPIRES LaTeX output)

%%   Journal or bibliographic formatting macros are obsolete!
%%   The SLAC/SPIRES database supplies properly formatted citations;
%%      click on  LaTeX(US) or LaTeX(EU)   

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%%  sizing and bars

\def\st{\scriptstyle}
\def\sst{\scriptscriptstyle}

\def\overbar#1{\overline{#1}}
\let\littlebar=\bar
\let\bar=\overbar

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%%  text-mode macros:

\def\etal{{\it et al.}}
\def\ie{{\it i.e.}}
\def\eg{{\it e.g.}}

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%%  expectation values:

\def\VEV#1{\left\langle{ #1} \right\rangle}
\def\bra#1{\left\langle{ #1} \right|}
\def\ket#1{\left| {#1} \right\rangle}
\def\vev#1{\langle #1 \rangle}

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%%  caligraphic letters (for matrix elements, luminosity, etc.)

\def\D{{\cal D}}
\def\L{{\cal L}}
\def\M{{\cal M}}
\def\O{{\cal O}}
\def\W{{\cal W}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%  matrix operations and fractions:

\def\One{{\bf 1}}
\def\hc{{\mbox{\rm h.c.}}}
\def\tr{{\mbox{\rm tr}}}
\def\half{\frac{1}{2}}
\def\thalf{\frac{3}{2}}
\def\third{\frac{1}{3}}
\def\tthird{\frac{2}{3}}

\def\Dslash{\not{\hbox{\kern-4pt $D$}}}
\def\dslash{\not{\hbox{\kern-2pt $\del$}}}

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%%  high-energy physics terminology:

\def\Pl{{\mbox{\scriptsize Pl}}}
\def\eff{{\mbox{\scriptsize eff}}}
\def\CM{{\mbox{\scriptsize CM}}}
\def\BR{\mbox{\rm BR}}
\def\ee{e^+e^-}
\def\sstw{\sin^2\theta_w}
\def\cstw{\cos^2\theta_w}
\def\mz{m_Z}
\def\gz{\Gamma_Z}
\def\mw{m_W}
\def\mt{m_t}
\def\gt{\Gamma_t}
\def\mh{m_h}
\def\gmu{G_\mu}
\def\GF{G_F}
\def\alphas{\alpha_s}
\def\msb{{\bar{\ssstyle M \kern -1pt S}}}
\def\lmsb{\Lambda_{\msb}}
\def\ELER{e^-_Le^+_R}
\def\EREL{e^-_Re^+_L}
\def\ELEL{e^-_Le^+_L}
\def\ERER{e^-_Re^+_R}
\def\eps{\epsilon}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%  supersymmetry:

\def\ch#1{\widetilde\chi^+_{#1}}
\def\chm#1{\widetilde\chi^-_{#1}}
\def\neu#1{\widetilde\chi^0_{#1}}
\def\s#1{\widetilde{#1}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5

1509.04086.extracted_bib
{GLW M.~Gronau and D.~London, Phys. Lett. {B 265 (1991) 172. %
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{ADS D. Atwood, I. Dunietz and A. Soni, {Enhanced $CP$ violation with $B\to K D^0(\bar{D{^0)$ modes and extraction of the Cabibbo-Kobayashi-Maskawa angle $\gamma$, Phys. Rev. Lett {78 (1997) 3257, arXiv:hep-ph/9612433; {Improved methods for observing $CP$ violation in $B^{+ \to K D$ and measuring the CKM phase $\gamma$, Phys. Rev {D 63 (2001) 036005, arXiv:hep-ph/0008090. % %
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{BONDAR A.~Bondar, {Proceedings of BINP special analysis meeting on Dalitz analysis, 24-26 Sep. 2002, unpublished. %
1509.04086.extracted_bib
{GLS Y.~Grossman, Z.~Ligeti and A.~Soffer, {Measuring $\gamma$ in $B^{\pm\to K^{\pm(KK^{*)_{D$ decays, %Phys. Rev. {D 67 (2003) 071301, arXiv:hep-ph/0210433.
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{PDG K.A.~Olive {et al. (Particle Data Group), Chin. Phys. {C 38 (2014) 090001.
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{GGR M.~Gronau, Y.~Grossman and J.L.~Rosner, Phys. Lett. {B 508 (2001) 37.
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{GGSZ A.~Giri, Y.~Grossman, A.~Soffer and J.~Zupan, Phys.Rev. {D 68 (2003) 054018.
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{ANTONBONDAR A.~Bondar and A.~Poluektov, Eur. Phys. J. {C 55 (2008) 51; A.~Bondar and A.~Poluektov, Eur. Phys. {C 47 (2006) 347.
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{ATWOODSONI D.~Atwood and A.~Soni, Phys. Rev. D 68 (2003) 033003. % %
1509.04086.extracted_bib
{TQCA2 D.M.~Asner {et al. (CLEO collaboration), {Updated measurement of the strong phase in $D^0 \to K^+\pi^-$ decay using quantum correlations in $e^+e^- \to D^0\bar{D^0$ at CLEO, Phys. Rev. {D 86 (2012) 112001, arXiv:1210.0939 [hep-ex]. %
1509.04086.extracted_bib
{SOL J.~Libby {et al., {New determination of the $D^0\to K^-\pi^+\pi^0$ and $D^0\to K^-\pi^+\pi^+\pi^-$ coherence factors and average strong-phase differences, Phys. Lett. {B 731 (2014) 197, arXiv:1401.1904 [hep-ex]; % %
1509.04086.extracted_bib
{CLEOKSKPI J.~Insler {et al. (CLEO collaboration), {Studies of the decays of the $D^0 \to K^0_S K^-\pi^+$ and $D^0 \to K^0_S K^+\pi^-$, Phys. Rev. {D 85 (2012) 092016, arXiv:1203.3804 [hep-ex]. %
1509.04086.extracted_bib
{BESIII M.~Ablikim {et al. (BESIII collaboration), {Measurement of the $D \to K^-\pi^+$ strong phase difference in $\psi(3770) \to D^0\bar{D^0$, Phys. Lett. {B 734 (2014) 227, arXiv:1404.4691 [hep-ex].
1509.04086.extracted_bib
{CLEOPIPIPI0 D.~Cronin-Hennessey {et al. (CLEO collaboration), Phys. Rev. {D 72 (2005) 031102(R), Erratum Phys. Rev. {D 75 (2007) 119904.
1509.04086.extracted_bib
{BaBarPIPIPI0 B.~Aubert {et al. (BaBar collaboration), Phys. Rev. Lett. {99 (2007) 251801.
1509.04086.extracted_bib
{BRIAN M.~Gaspero, B.~Meadows, K.~Mishra and A.~Soffer, Phys. Rev. {D 78 (2008) 014015.
1509.04086.extracted_bib
{CLEOKKPI0 C.~Cawlfield {et al. (CLEO collaboration), Phys. Rev. {D 74 (2006) 031108(R).
1509.04086.extracted_bib
{BaBarKKPI0 B.~Aubert {et al. (BaBar collaboration), Phys. Rev. {D 76 (2007) 011102.
1509.04086.extracted_bib
{THOMAS S. Malde, C. Thomas and G. Wilkinson, Phys. Rev. {D 91 (2015), 094032.
1509.04086.extracted_bib
{NAYAK M. Nayak {et al., Phys. Lett. {B 740 (2015) 1.
1509.04086.extracted_bib
{4PI S. Malde {et al., Phys. Lett. {B 747 (2015) 9.
1509.04086.extracted_bib
{CLEOKSPIPI J.~Libby {et al. (CLEO collaboration), Phys. Rev. {D 82 (2010) 112006]; R.A.~Briere {et al. (CLEO collaboration), Phys. Rev. {D 80 (2009) 032002. %
1509.04086.extracted_bib
{PIPIPI0 R.~Aaij {et al. (LHCb collaboration), {A model-independent unbinned search for $CP$ violation in $D^0 \to \pi^+\pi^-\pi^0$ decays, LHCb-PAPER-2014-054, to be submitted to Phys. Lett. {B. %
1509.04086.extracted_bib
{TREEGAMMA J. Brod and J. Zupan, {%The ultimate theoretical error on $\gamma$ from $B\to DK$ decays, JHEP 1311 (2013) 180, arXiv:1310.1385 [hep-ph]. %
1509.04086.extracted_bib
{HFAG Y.~Amhis {et al. (HFAG), {Averages of b-hadron, c-hadron, and $\tau$-lepton properties as of early 2012, arXiv:1207.1158, online updates at http://www.slac.stanford.edu/xorg/hfag. Numbers taken from June 2014 charm physics update.
1509.04086.extracted_bib
{CLEOC Y.~Kubota {et al. (CLEO collaboration), Nucl. Instrum. Meth. {A 320 (1992) 66; D.~Peterson {et al., Nucl. Instrum. Meth. {A 478 (2002) 142; M. Artuso {et al., Nucl. Instrum. Meth. {A 502 (2003) 91; R.A.~Briere {et al. (CLEO-c/CESR-c Taskforces and CLEO-c collaboration), Cornell LEPP Report CLNS Report No. 01/1742 (2001).
1509.04086.extracted_bib
{EVTGEN D.J.~Lange, Nucl. Instrum. Meth. {A 462 (2001) 152.
1509.04086.extracted_bib
{GEANT R.~Brun {et al., GEANT 3.21, CERN Program Library Long Writeup W5013, unpublished.
1509.04086.extracted_bib
{WINGS N.~Lowrey {et al. (CLEO collaboration), Phys. Rev. {D 80 (2009) 031105(R).
1509.04086.extracted_bib
{TQCA1 D.M.~Asner {et al. (CLEO collaboration), Phys. Rev. {D 78 (2008) 012001.
1509.04086.extracted_bib
{K0LPRL Q.~He {et~al. (CLEO collaboration), Phys. Rev. Lett. 100 (2008) 091801. %
1509.04086.extracted_bib
{CB T. Skwarnicki, {A Study of the radiative cascade transitions between the $\Upsilon$ and $\Upsilon^\prime$ resonances, Ph.D Thesis, DESY F31-86-02 (1986), Appendix E. %
1509.04086.extracted_bib
{ARGUS H. Albrecht {et al. (ARGUS collaboration), {Search for hadronic $b\to u$ decays, Phys. Lett. {B 241 (1990) 278. %
1509.04086.extracted_bib
{RAMA M.~Rama, {Effect of $D-\bar{D$ mixing in the extraction of $\gamma$ with $B^- \to D^0 K^-$ and $B^- \to D^0 \pi^-$ decays, Phys. Rev. {D 89 (2014) 014021, arXiv:1307.4384 [hep-ex]. %
1509.04086.extracted_bib
{SNEHA S.~Malde and G.~Wilkinson, {$D^0 - \bar{D{^0$ mixing studies with the decays $D^0 \to K^0_S K^\mp \pi^\pm$, Phys. Lett. {B 701 (2011) 353, arXiv:1104.2731 [hep-ph]. %
1509.04086.extracted_bib
{LHCBK3PI R.~Aaij {et al. (LHCb collaboration), {Observation of the suppressed ADS modes $B^\pm \to [\pi^\pm K^\mp \pi^+\pi^-]_D K^\pm$ and $B^\pm \to [\pi^\pm K^\mp \pi^+\pi^-]_D \pi^\pm$, Phys. Lett. {B 723 (2013) 44, arXiv:1304.4646 [hep-ex]. %
1509.04086.extracted_bib
{LHCBGAMMA R.~Aaij {et al. (LHCb collaboration), {Measurement of the CKM angle $\gamma$ from a combination of $B \to Dh$ analyses, arXiv:1305.2050 [hep-ex]. %
1509.04086.extracted_bib
{BELLEKPIPI0 K.~Negishi, {Measurements of $\phi_3$ at Belle, presentation at EPS HEP 2013 Stockholm, July 2013. %
1509.04086.extracted_bib
{BELLEKPIPI0 M.~Nayak {et al. (Belle collaboration), {Evidence for the suppressed decay $B^- \to DK^-$, $D \to K^+\pi^-\pi^0$, Phys. Rev. {D 88 (2013) 091104(R), arXiv:1310.1741 [hep-ex]. %
1509.04086.extracted_bib
{BELLE_2010 A.~Poluektov {et al. (Belle collaboration), {Evidence for direct CP violation in the decay $B\to D^{(*)K$, $D \to K^0_{\rm S\pi^+\pi^-$ and measurement of the CKM phase $\phi_3$, Phys. Rev. {D 81 (2010) 112002, arXiv:1003.3360 [hep-ex]. %
1509.04086.extracted_bib
{BaBar_2010 P.~del Amo Sanchez {et al. (BaBar collaboration), {Evidence for direct CP violation in the measurement of the CKM angle $\gamma$ with $B^{\mp \to D^{(*)K^{(*)\mp$ decays, Phys. Rev. Lett. {105 (2010) 121801, arXiv:1005.1096 [hep-ex]. %
1509.04086.extracted_bib
{BaBar_2008 B.~Aubert {et al. (BaBar collaboration), {Improved measurement of the CKM angle $\gamma$ in $B^\mp \to D^{(*)K^{(*)\mp$ decays with a Dalitz plot analysis of $D$ decays to $K^0_S \pi^+\pi^-$ and $K^0_S K^+K^-$, Phys. Rev. {D 78 (2008) 034023., arXiv:0804.2089 [hep-ex]. %
1509.04086.extracted_bib
{BaBar_2005 B.~Aubert {et al. (BaBar collaboration), {Measurement of the Cabibbo-Kobayashi-Maskawa angle $\gamma$ in $B^\mp \to D^{(*)K^\mp$ decays with a Dalitz analysis of $D^0 \to K^0_S \pi^-\pi^+$, Phys. Rev. Lett. {95 (2005) 121802, arXiv:hep-ex/0504039. %
1509.04086.extracted_bib
{HFAG Y.~Amhis {et al. (HFAG), {Averages of b-hadron, c-hadron, and $\tau$-lepton properties as of early 2012, arXiv:1207.1158, online updates at http://www.slac.stanford.edu/xorg/hfag. Numbers taken from charm physics November 2013 %update. %
1509.04086.extracted_bib
{NEWCLEO X. Shi {et al. (CLEO collaboration), {Updated Measurements of Absolute $D^{\pm$ and $D^{0$ Hadronic Branching Fractions and $\sigma(e^{+e^{-)\to D\overline{D$, submitted to Phys. Rev.~{D, arXiv:1312.6775 [hep-ex]. %
1509.04086.extracted_bib
{ERIC E.~White {et al. (Belle collaboration), {Measurement of the wrong-sign decay $D^0 \to K^+\pi^-\pi^+\pi^-$, Phys. Rev. {D 88 (2013) 051101, arXiv:1307.5935 [hep-ex]. %
1509.04086.extracted_bib
{ANTONMIX A.~Bondar, A.~Poleuktov and V.~Vorobiev, {Charm mixing in the model-independent analysis of correlated $D^0-\bar{D{^0$ decays, Phys. Rev. {D 82 (2010) 034033, arXiv:1004.2350 [hep-ex]. %
1509.04086.extracted_bib
{PDG J.~Beringer {et al. (Particle Data Group), {Review of particle physics, Phys. Rev. {D 86 (2012) 010001. %
1509.04086.extracted_bib
{CLEOKSKPI J.~Insler {et al. (CLEO collaboration), {Studies of the decays of the $D^0 \to K^0_S K^-\pi^+$ and $D^0 \to K^0_S K^+\pi^-$, Phys. Rev. {D 85 (2012) 092016, arXiv:1203.3804 [hep-ex]. %
1509.04086.extracted_bib
{LOOKUP_BaBar F.~Martinez-Vidal and N.~Lopes-March, private communication. %
1509.04086.extracted_bib
{LOOKUP_BELLE A.~Poluektov, private communication. %
1509.04086.extracted_bib
{KMATRIX I.J.R.~Aitchison, {The K-matrix formalism for overlapping resonances, %Nucl. Phys. {A 189 (1972) 417. %
1509.04086.extracted_bib
{LASS D.~Aston {et al. (LASS collaboration), {A study of $K^−\pi^+$ scattering in the reaction $K^-p\to %K^−\pi^+n$ at 11 GeV$/c$, % Nucl. Phys. {B 296 (1988) 493. %
1509.04086.extracted_bib
{CLEOCSTANDARD S.~Dobbs {et al. (CLEO collaboration), {Measurement of absolute hadronic branching fractions of $D$ mesons in $e^+e^- \to D\bar{D$ cross sections at the $\psi(3770)$, Phys. Rev. {D 76 (2007) 112001, arXiv:0709.3783 [hep-ex]. %
1509.04086.extracted_bib
{SCANS The two-dimensional $\Delta\chi^2$ scans are available from the authors. Please email {\tt libby@iitm.ac.in. %
1509.04086.extracted_bib
{BESIII M. Ablikim {et al. (BESIII collaboration), {Design and construction of the BESIII detector, Nucl. Instrum. Meth. {A 614 (2010) 345. %% GLW analyses %
1509.04086.extracted_bib
{BABARGLW P.~del Amo Sanchez {et al. (BaBar collaboration), {Measurement of CP observables in $B^\pm \to D_{CP K^\pm$ decays and constraints on the angle $\gamma$, Phys. Rev. {D 82 (2010) 072004, arXiv:1007.0504 [hep-ex]. %
1509.04086.extracted_bib
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