Study of the $B_{c}$ ${\to}$ $B_{s}{\pi}$ decay with the perturbative QCD approach

TL;DR

This paper investigates the $B_{c} o B_{s}\pi$ decay using perturbative QCD, analyzing wave function models, calculating form factors and branching ratios, and comparing results with recent experimental data from LHCb.

Contribution

It provides a detailed perturbative QCD analysis of the $B_{c} o B_{s}\pi$ decay considering different wave function models, and offers predictions consistent with LHCb measurements.

Findings

Branching ratio estimates align with LHCb data.

Decay signal should be observable at the LHC.

Wave function models significantly influence form factor calculations.

Abstract

The $B_{c}$ ${\to}$ $B_{s}{\pi}$ decay is studied with the perturbative QCD approach. Three types of wave functions for $B_{s}$ meson are considered. The transition form factor $F_{0}^{B_{c}{\to}B_{s}}(0)$ and the branching ratio ${\cal B}r(B_{c}{\to}B_{s}{\pi})$ are sensitive to the model of the $B_{s}$ meson wave functions. With appropriate inputs, our estimate on ${\cal B}r(B_{c}{\to}B_{s}{\pi})$ is comparable with the recent LHCb measurement. A clear signal of $B_{c}$ ${\to}$ $B_{s}{\pi}$ decay should be easily observed at the Large Hadron Collider.