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.
Categories: hep-ex