B_c meson rare decays in the light-cone quark model

TL;DR

This paper calculates the rare decay processes of B_c mesons into D_s mesons using the light-cone quark model, providing predictions for branching ratios and polarization asymmetries to aid future experimental tests.

Contribution

It introduces a method to compute transition form factors in the light-cone quark model and applies it to rare B_c decays, offering new theoretical predictions.

Findings

Predicted branching ratios for B_c decays to D_s mesons.

Calculated longitudinal lepton polarization asymmetries.

Provided results for future experimental verification at LHC.

Abstract

We investigate the rare decays $B_c \rightarrow D_s(1968) \ell \bar{\ell}$ and $B_c\rightarrow D_s^*(2317) \ell \bar{\ell}$ in the framework of the light-cone quark model (LCQM). The transition form factors are calculated in the space-like region and then analytically continued to the time-like region via exponential parametrization. The branching ratios and longitudinal lepton polarization asymmetries (LPAs) for the two decays are given and compared with each other. The results are helpful to investigating the structure of $B_c$ meson and to testing the unitarity of CKM quark mixing matrix. All these results can be tested in the future experiments at the LHC.