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

TL;DR

This paper presents an angular analysis of B0 to phi K* decays using Belle data, measuring branching fractions, polarization, and CP violation parameters, and finds no evidence of CP violation.

Contribution

It provides the first comprehensive measurement of branching fractions, polarization, and CP violation parameters in B0 to phi K* decays with a large data sample.

Findings

Measured branching fractions for scalar, vector, and tensor components.

Determined polarization fractions in B0 to phi K* decays.

Found no evidence for CP violation in the system.

Abstract

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.