The $B(B_{s})\rightarrow D_{(s)}(\bar{D}_{(s)}) T$ and $D_{(s)}^{*}(\bar{D}_{(s)}^{*})T$ decays in perturbative QCD approach

TL;DR

This paper uses perturbative QCD to analyze B and Bs meson decays into D or D* mesons and light tensor mesons, highlighting the importance of nonfactorizable and annihilation diagrams, and predicting branching ratios and polarization effects.

Contribution

It provides detailed perturbative QCD calculations for B and Bs decays involving tensor mesons, including effects of nonfactorizable and annihilation diagrams, and predicts branching ratios and polarization contributions.

Findings

Branching ratios range from 10^{-4} to 10^{-6} for CKM-favored decays.

Branching ratios range from 10^{-5} to 10^{-8} for CKM-suppressed decays.

Large transverse polarization contributions are predicted in many decay channels.

Abstract

In perturbative QCD approach, we investigate the $B(B_{s})\rightarrow D_{(s)}(\bar{D}_{(s)})\,T$ and $D_{(s)}^{*}(\bar{D}_{(s)}^{*})\,T$ decays, which include the Cabibbo-Kobayashi-Maskawa (CKM) favored decays and the Cabibbo-Kobayashi-Maskawa-suppressed decays, where T denotes a light tensor meson. From our calculation, we find that the nonfactorizable emission diagrams and the annihilation type diagrams are important, especially for those color suppressed channels. For those decays with a tensor meson emitted, the factorizable emission diagrams vanish owing to the fact that a tensor meson can not be produced through the local (V-A) or tensor current. The numerical results show that the predictions for the branching ratios of considered charmed B decays are in the range of $10^{-4}$ to $10^{-6}$ for those CKM-favored decays (governed by $|V_{cb}|$) and in the range of $10^{-5}$ to $10^{-8}$ for those CKM-suppressed decays (governed by $|V_{ub}|$). We also predict large transverse polarization contributions in many of the $B(B_{s}) \rightarrow D_{(s)}^{\ast}(\bar{D}_{(s)}^{*})T$ decay channels.