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

Abstract

We report the measurements of branching fractions and CP violation asymmetries in $B^0\to \varphi K^{\ast }$ decays obtained in an angular analysis using the full data sample of $772\times 10^{6}B\bar{B}$ pairs collected at the ${\rm Y}(4S)$ resonance with the Belle detector at the KEKB asymmetric-energy $e^{+}{e}^{-}$ collider. We perform a partial wave analysis to distinguish among scalar [$B^0\to \varphi (K\pi {)}_0^{\ast }$], vector [$B^0\to \varphi K^{\ast }(892{)}^0$] and tensor [$B^0\to \varphi K_2^{\ast }(1430{)}^0$] components, and determine the corresponding branching fractions to be $\mathcal{B}[B^0\to \varphi (K\pi {)}_0^{\ast }]=(4.3\pm 0.4\pm 0.4)\times 10^{-6}$, $\mathcal{B}[B^0\to \varphi K^{\ast }(892{)}^0]=(10.4\pm 0.5\pm 0.6)\times 10^{-6}$ and $\mathcal{B}[B^0\to \varphi K_2^{\ast }(1430{)}^0]=(5.5_{-0.7}^{+0.9}\pm 1.0)\times 10^{-6}$. We also measure the longitudinal polarization fraction $f_L$ in $B^0\to \varphi K^{\ast }(892{)}^0$ and $B^0\to \varphi K_2^{\ast }(1430{)}^0$ decays to be $0.499\pm 0.030\pm 0.018$ and $0.918_{-0.060}^{+0.029}\pm 0.012$, 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 $B^0\to \varphi K^{\ast }$ system. No evidence for CP violation is found.

15 pages, 6 figures, to be submitted to PRD

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