Measurement of CP violation in the phase space of B^± → K⁺ K^-π^± and B^± → π⁺π^-π^± Decays

The charmless decays B±→K+K-π± and B±→π+π-π± are reconstructed in a data set of pp collisions with an integrated luminosity of 1.0 fb-1 and center-of-mass energy of 7 TeV, collected by LHCb in 2011. The inclusive charge asymmetries of these modes are measured to be ACP(B±→K+K-π±)=-0.141±0. 040 (stat)±0.018 (syst)±0.007(J/ψ K±) and ACP(B±→π+π-π±)=0.117±0.021 (stat)±0.009 (syst)±0.007(J/ψ K±), where the third uncertainty is due to the CP asymmetry of the B±→J/ψK± reference mode. In addition to the inclusive CP asymmetries, larger asymmetries are observed in localized regions of phase space.