Charmless $B_{u,d,s}\to VT$ decays in perturbative QCD approach

TL;DR

This paper uses perturbative QCD to predict branching ratios, polarization fractions, and CP violations in charmless B to vector-tensor meson decays, aligning well with some experimental data and providing new theoretical insights.

Contribution

It provides detailed predictions for B to VT decays in perturbative QCD, including polarization and CP violation, with some results matching experimental observations.

Findings

Predicted branching ratios mostly around 10^{-6} for B_{u,d} decays.

Polarization fractions are high (~90%) for tree-dominated channels.

Some branching ratios for B_s decays are around 10^{-7}.

Abstract

Motivated by the experimental data, we study charmless $B_{u,d,s}\to VT$ ($V$ and $T$ denote light vector and tensor mesons respectively) decays in the perturbative QCD approach. The predictions of branching ratios, polarization fractions and direct CP violations are given in detail. Specifically, within this approach we have calculated the polarization fractions and the branching ratios of $B\to \phi(K_2^{*-}, \bar K_2^{*0})$ which agree well with the observed experimental data, however the branching ratios of $B\to \omega(K_2^{*-}, \bar K_2^{*0})$ are hard to be explained, where the polarization fractions are well accommodated. The tree dominated channels with a vector meson emitted have longitudinal polarization fraction of 90%, while the penguin dominating ones have subtle polarization fractions. Fortunately, most branching ratios of $B_{u,d}$ decays are of the order $10^{-6}$, which would be straight forward for experimental observations. For the $B_s$ decays the branching ratios can reach the order of $10^{-6}$ in tree dominated decays, while in penguin dominated decays those are of order of $10^{-7}$ which require more experimental data to be observed.