Dalitz plot analysis of the decayB0(B¯0)→K±π∓π0

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Abstract

We report a Dalitz-plot analysis of the charmless hadronic decays of neutral $B$ mesons to ${K}^{\ifmmode\pm\else\textpm\fi{}}{\ensuremath{\pi}}^{\ensuremath{\mp}}{\ensuremath{\pi}}^{0}$. With a sample of $(231.8\ifmmode\pm\else\textpm\fi{}2.6)\ifmmode\times\else\texttimes\fi{}{10}^{6}\mathit{\ensuremath{\Upsilon}}(4S)\ensuremath{\rightarrow}B\overline{B}$ decays collected by the BABAR detector at the PEP-II asymmetric-energy $B$ Factory at SLAC, we measure the magnitudes and phases of the intermediate resonant and nonresonant amplitudes for ${B}^{0}$ and ${\overline{B}}^{0}$ decays and determine the corresponding $CP$-averaged branching fractions and charge asymmetries. The inclusive branching fraction and $CP$-violating charge asymmetry are measured to be $\mathcal{B}({B}^{0}\ensuremath{\rightarrow}{K}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\pi}}^{0})=({35.7}_{\ensuremath{-}1.5}^{+2.6}\ifmmode\pm\else\textpm\fi{}2.2)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}6}$ and ${\mathcal{A}}_{CP}=\ensuremath{-}{0.030}_{\ensuremath{-}0.051}^{+0.045}\ifmmode\pm\else\textpm\fi{}0.055$ where the first errors are statistical and the second systematic. We observe the decay ${B}^{0}\ensuremath{\rightarrow}{K}^{*0}(892){\ensuremath{\pi}}^{0}$ with the branching fraction $\mathcal{B}({B}^{0}\ensuremath{\rightarrow}{K}^{*0}(892){\ensuremath{\pi}}^{0})=({3.6}_{\ensuremath{-}0.8}^{+0.7}\ifmmode\pm\else\textpm\fi{}0.4)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}6}$. This measurement differs from zero by 5.6 standard deviations (including the systematic uncertainties). The selected sample also contains ${B}^{0}\ensuremath{\rightarrow}{\overline{D}}^{0}{\ensuremath{\pi}}^{0}$ decays where ${\overline{D}}^{0}\ensuremath{\rightarrow}{K}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$, and we measure $\mathcal{B}({B}^{0}\ensuremath{\rightarrow}{\overline{D}}^{0}{\ensuremath{\pi}}^{0})=(2.93\ifmmode\pm\else\textpm\fi{}0.17\ifmmode\pm\else\textpm\fi{}0.18)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}$.

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