$B_c\to B_{sJ}$ form factors and $B_c$ decays into $B_{sJ}$ in covariant light-front approach

TL;DR

This paper calculates form factors for $B_c$ decays into $B_{sJ}$ mesons using a covariant light-front model, predicting sizable branching fractions that can be tested at LHC and future colliders, aiding QCD and spectroscopy studies.

Contribution

It provides the first detailed calculation of $B_c o B_{sJ}$ form factors and decay predictions within the covariant light-front approach, including $q^2$-distributions and polarization results.

Findings

Branching fractions are sizable and potentially observable at LHC and future colliders.

Form factors at $q^2=0$ are directly computed, with $q^2$-distributions obtained by extrapolation.

Predicted decay rates and polarizations offer valuable tests for nonperturbative QCD and meson spectroscopy.

Abstract

We suggest to study the $B_{s}$ and its excitations $B_{sJ}$ in the $B_c$ decays. We calculate the $B_c\to B_{sJ}$ and $B_c\to B_{J}$ form factors within the covariant light-front quark model, where the $B_{sJ}$ and $B_{J}$ denote an s-wave or p-wave $\bar bs$ and $\bar bd$ meson, respectively. The form factors at $q^2=0$ are directly computed while their $q^2$-distributions are obtained by the extrapolation. The derived form factors are then used to study semileptonic $B_c\to (B_{sJ},B_{J})\bar\ell\nu$ decays, and nonleptonic $B_c\to B_{sJ}\pi$. Branching fractions and polarizations are predicted in the standard model. We find that the branching fractions are sizable and might be accessible at the LHC experiment and future high-energy $e^+e^-$ colliders with a high luminosity at the $Z$-pole. The future experimental measurements are helpful to study the nonperturbative QCD dynamics in the presence of a heavy spectator and also of great value for the spectroscopy study.