Measurements of $CP$ violation in the three-body phase space of charmless $B^{\pm }$ decays

Abstract

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

Published 11 December 2014 at Phys. Rev. D

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