  The t t-bar charge asymmetry is measured in proton-proton collisions at a
centre-of-mass energy of 8 TeV. The data, collected with the CMS experiment at
the LHC, correspond to an integrated luminosity of 19.7 inverse femtobarns.
Selected events contain an electron or a muon and four or more jets, where at
least one jet is identified as originating from b-quark hadronization. The
inclusive charge asymmetry is found to be 0.0010 +/- 0.0068 (stat) +/- 0.0037
(syst). In addition, differential charge asymmetries as a function of rapidity,
transverse momentum, and invariant mass of the t t-bar system are studied. For
the first time at the LHC, the measurements are also performed in a reduced
fiducial phase space of top quark pair production, with an integrated result of
-0.0035 +/- 0.0072 (stat) +/- 0.0031 (syst). All measurements are consistent
within two standard deviations with zero asymmetry as well as with the
predictions of the standard model.
