Angular analysis ofB0→ϕK*decays and search forCPviolation at Belle

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Abstract

We report the measurements of branching fractions and $CP$ violation asymmetries in ${B}^{0}\ensuremath{\rightarrow}\ensuremath{\phi}{K}^{*}$ decays obtained in an angular analysis using the full data sample of $772\ifmmode\times\else\texttimes\fi{}{10}^{6}B\overline{B}$ pairs collected at the $\ensuremath{\Upsilon}(4S)$ resonance with the Belle detector at the KEKB asymmetric-energy ${e}^{+}{e}^{\ensuremath{-}}$ collider. We perform a partial wave analysis to distinguish among scalar [${B}^{0}\ensuremath{\rightarrow}\ensuremath{\phi}(K\ensuremath{\pi}{)}_{0}^{*}$], vector [${B}^{0}\ensuremath{\rightarrow}\ensuremath{\phi}{K}^{*}(892{)}^{0}$] and tensor [${B}^{0}\ensuremath{\rightarrow}\ensuremath{\phi}{K}_{2}^{*}(1430{)}^{0}$] components, and determine the corresponding branching fractions to be $\mathcal{B}[{B}^{0}\ensuremath{\rightarrow}\ensuremath{\phi}(K\ensuremath{\pi}{)}_{0}^{*}]=(4.3\ifmmode\pm\else\textpm\fi{}0.4\ifmmode\pm\else\textpm\fi{}0.4)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}6}$, $\mathcal{B}[{B}^{0}\ensuremath{\rightarrow}\ensuremath{\phi}{K}^{*}(892{)}^{0}]=(10.4\ifmmode\pm\else\textpm\fi{}0.5\ifmmode\pm\else\textpm\fi{}0.6)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}6}$ and $\mathcal{B}[{B}^{0}\ensuremath{\rightarrow}\ensuremath{\phi}{K}_{2}^{*}(1430{)}^{0}]=({5.5}_{\ensuremath{-}0.7}^{+0.9}\ifmmode\pm\else\textpm\fi{}1.0)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}6}$. We also measure the longitudinal polarization fraction ${f}_{L}$ in ${B}^{0}\ensuremath{\rightarrow}\ensuremath{\phi}{K}^{*}(892{)}^{0}$ and ${B}^{0}\ensuremath{\rightarrow}\ensuremath{\phi}{K}_{2}^{*}(1430{)}^{0}$ decays to be $0.499\ifmmode\pm\else\textpm\fi{}0.030\ifmmode\pm\else\textpm\fi{}0.018$ and ${0.918}_{\ensuremath{-}0.060}^{+0.029}\ifmmode\pm\else\textpm\fi{}0.012$, respectively. The first quoted uncertainties are statistical and the second are systematic. In total, we measure 26 parameters related to branching fractions, polarization and $CP$ violation in the ${B}^{0}\ensuremath{\rightarrow}\ensuremath{\phi}{K}^{*}$ system. No evidence for $CP$ violation is found.

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