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 A _CP(B ^±→K ⁺K ^-π ^±)=-0.141±0.040(stat)±0.018(syst)±0.007(J=ΠK ^±) and ACP(B ^± → π ⁺π ^-π ^±) = 0.117 ± 0.021 (stat)±0.009 (syst) ± 0.007(J=Π K ^±), where the theird uncertainty is due to the CP asymmetry of the B ^± → J=ΠK ^± reference mode. In addition to the inclusive CP asymmetries, larger asymmetries are observed in localized regions of phase space.