Evidence for directCPviolation from Dalitz-plot analysis ofB±→K±π∓π±
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Abstract
We report a Dalitz-plot analysis of the charmless hadronic decays of charged $B$ mesons to the final state ${K}^{\ifmmode\pm\else\textpm\fi{}}{\ensuremath{\pi}}^{\ensuremath{\mp}}{\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}$. Using a sample of $(383.2\ifmmode\pm\else\textpm\fi{}4.2)\ifmmode\times\else\texttimes\fi{}{10}^{6}$ $B\overline{B}$ pairs collected by the BABAR detector, we measure $CP$-averaged branching fractions and direct $CP$ asymmetries for intermediate resonant and nonresonant contributions. We find evidence for direct $CP$ violation in the decay ${B}^{\ifmmode\pm\else\textpm\fi{}}\ensuremath{\rightarrow}{\ensuremath{\rho}}^{0}(770){K}^{\ifmmode\pm\else\textpm\fi{}}$, with a $CP$-violation parameter ${A}_{CP}=(+44\ifmmode\pm\else\textpm\fi{}10\ifmmode\pm\else\textpm\fi{}{4}_{\ensuremath{-}13}^{+5})%$.
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