Measurement of CP violation in the phase space of $B^{\pm }\to K^{\pm }\ddot{I}{€}^{+}\ddot{I}{€}^{-}$ and $B^{\pm }\to K^{\pm }{K}^{+}{K}^{-}$ decays

Abstract

The charmless decays $B^{\pm }\to K^{\pm }\ddot{I}{€}^{+}\ddot{I}{€}^{-}$ and $B^{\pm }\to K^{\pm }{K}^{+}{K}^{-}$ are reconstructed using data, corresponding to an integrated luminosity of 1.0 fb${}^{-1}$, collected by LHCb in 2011. The inclusive charge asymmetries of these modes are measured as $A_{C\!P}(B^{\pm}\to K^{\pm}π^+π^-) = 0.032 \pm 0.008 \stat \pm 0.004 \syst \pm 0.007 (JψK^{\pm})$ and $A_{C\!P}(B^{\pm}\to K^{\pm}K^+K^-) = -0.043 \pm 0.009 \stat \pm 0.003 \syst \pm 0.007 (JψK^{\pm})$, where the third uncertainty is due to the $CP$ asymmetry of the $B^{\pm }\to J\ddot{I}ˆK^{\pm }$ reference mode. The significance of $A_{CP}(B^{\pm }\to K^{\pm }{K}^{+}{K}^{-})$ exceeds three standard deviations and is the first evidence of an inclusive $CP$ asymmetry in charmless three-body $B$ decays. In addition to the inclusive $CP$ asymmetries, larger asymmetries are observed in localised regions of phase space.

9 pages, 3 figures