Angular analysis of $B^0 \to \phi K^{*}$ decays and search for CP violation at Belle

We report the measurements of branching fractions and CP violation asymmetries in $B^0 \to \phi K^{*}$ decays obtained in an angular analysis using the full data sample of $772 \times 10^6 B\bar{B}$ pairs collected at the $\Upsilon(4S)$ resonance with the Belle detector at the KEKB asymmetric-energy $e^+ e^-$ collider. We perform a partial wave analysis to distinguish among scalar [$B^0 \to \phi(K\pi)^{*}_{0}$], vector [$B^0 \to \phi K^{*}(892)^{0}$] and tensor [$B^0 \to \phi K^{*}_{2}(1430)^{0}$] components, and determine the corresponding branching fractions to be $\mathcal{B}[B^0 \to \phi(K\pi)^{*}_{0}] = (4.3 \pm 0.4 \pm 0.4) \times 10^{-6}$, $\mathcal{B}[B^0 \to \phi K^{*}(892)^{0}] = (10.4 \pm 0.5 \pm 0.6) \times 10^{-6}$ and $\mathcal{B}[B^0 \to \phi K^{*}_{2}(1430)^{0}] = (5.5 ^{+0.9}_{-0.7} \pm 1.0) \times 10^{-6}$. We also measure the longitudinal polarization fraction $f_L$ in $B^0 \to \phi K^{*}(892)^{0}$ and $B^0 \to \phi K^{*}_{2}(1430)^{0}$ decays to be $0.499 \pm 0.030 \pm 0.018$ and $0.918 ^{+0.029}_{-0.060} \pm 0.012$, 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 $B^0 \to \phi K^{*}$ system. No evidence for CP violation is found.