Charmed B(B_{s}) decays involving a light tensor meson in PQCD approach

TL;DR

This paper investigates B and B_s meson decays involving light tensor mesons using the perturbative QCD approach, providing predictions for branching ratios and polarization fractions, especially for channels where factorizable diagrams are suppressed.

Contribution

It introduces a detailed PQCD calculation of B and B_s decays to tensor mesons, including nonfactorizable and annihilation contributions, which are essential for accurate predictions.

Findings

Predicted branching ratios for various decay channels.

Calculated polarization fractions for vector-tensor decays.

Identified the importance of nonfactorizable and annihilation diagrams.

Abstract

We study the $B(B_{s})\rightarrow D_{(s)}(\bar{D}_{(s)})\,T$ and $D_{(s)}^{\ast}(\bar{D}_{(s)}^{*})\,T$ decays in perturbative QCD approach, where T denotes a light tensor meson. In addition to the branching ratios, we also give predictions to the polarization fractions for the $D^{*}_{(s)}(\bar{D}_{(s)}^{*})T$ decays. For those decays with a tensor meson emitted, the factorizable emission diagrams do not contribute because of lorentz covariance considerations. In order to give the predictions to these decay channels, it is necessary to go beyond the naive factorization to calculate the nonfactorizable and annihilation diagrams.