Measurements of $C!P$ violation in the three-body phase space of charmless $B^{pm}$ decays


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The charmless three-body decay modes $B^{pm} rightarrow K^{pm} pi^{+} pi^{-}$, $B^{pm} rightarrow K^{pm} K^{+} K^{-}$, $B^{pm} rightarrow pi^{pm} K^{+} K^{-}$ and $B^{pm} rightarrow pi^{pm} pi^{+} pi^{-}$ are reconstructed using data, corresponding to an integrated luminosity of 3.0;$mbox{,fb}^{-1}$, collected by the LHCb detector. The inclusive $C!P$ asymmetries of these modes are measured to be $$ A_{C!P}(B^{pm} rightarrow K^{pm} pi^{+} pi^{-})= +0.025 pm 0.004 pm 0.004 pm 0.007 A_{C!P}(B^{pm} rightarrow K^{pm} K^{+} K^{-}) = -0.036 pm 0.004 pm 0.002 pm 0.007 A_{C!P}(B^{pm} rightarrow pi^{pm} pi^{+} pi^{-})= +0.058 pm 0.008 pm 0.009 pm 0.007 A_{C!P}(B^{pm} rightarrow pi^{pm} K^{+} K^{-})= -0.123 pm 0.017 pm 0.012 pm 0.007 $$ %% where the first uncertainty is statistical, the second systematic, and the third is due to the $C!P$ asymmetry of the $B^{pm} rightarrow J/psi K^{pm}$ 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.

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