The $B_c\rightarrow D^{(*)}T$ decays in perturbative QCD approach

TL;DR

This paper calculates branching ratios and polarization fractions for $B_c$ decays into a D meson and a tensor meson using perturbative QCD, predicting observable rates and polarization patterns.

Contribution

It provides the first detailed pQCD analysis of $B_c ightarrow D^{(*)}T$ decays, highlighting the dominance of annihilation diagrams and predicting measurable decay rates.

Findings

Branching ratios mostly around 10^{-6} or higher.

Large transverse polarization fractions in certain decay channels.

Annihilation diagrams dominate these decay processes.

Abstract

In this work, we investigate those $B_{c}\rightarrow D^{(*)}T$ decays in perturbative QCD approach, based on $k_T$ factorization, where T denotes a light tensor meson. For all decays considered in this work, there are no contributions from factorizable emission diagrams because the emitted meson is the tensor meson. We find that the annihilation amplitudes are dominant in these decays due to the large Cabibbo-Kobayashi-Maskawa elements, which are only calculable in the pQCD approach. The numerical results show that the predictions for the branching ratios of most decays are in the order of $10^{-6}$ or even bigger, which can be observed in the ongoing experiments. We also predict large percentage of transverse polarizations in those W annihilation diagram dominant $B_{c} \rightarrow D^{*}T$ decay channels.