Measurements of CP violation in the three-body phase space of charmless B± decays

Abstract

The charmless three-body decay modes B± → K± π+π−, B± → K± K+ K−, B± → π± K+ K− and B± → π± π+ π− are reconstructed using data, corresponding to an integrated luminosity of 3.0 fb−1, collected by the LHCb detector. The inclusive CP asymmetries of these modes are measured to be ACP(B± → K± π+ π−) = +0.025 ±0.004 ±0.004 ±0.007, ACP (B± → K± K+ K−) = −0.036 ±0.004 ±0.002 ±0.007, ACP (B± → π± π+ π−) = +0.058 ±0.008 ±0.009 ±0.007, ACP (B± → π± K+ K−)= −0.123 ±0.017 ±0.012 ±0.007,where the first uncertainty is statistical, the second systematic, and the third is due to the CP asymmetry of the B± → J/ψ K± reference mode. The distributions of these asymmetries are also studied as functions of position in the Dalitz plot and suggest contributions from rescattering and resonance interference processes.