Light hadron production in $B_{c}\to B_{s}^{(*)}+X$ decays

TL;DR

This paper calculates the branching fractions of Bc meson decays into Bs mesons plus multiple pions, using factorization and spectral functions derived from experimental data, providing detailed decay distributions.

Contribution

It introduces a method to compute Bc->Bs(*)+n pi decay rates using spectral functions from tau decay and e+e- data, incorporating various form-factor models.

Findings

Branching fractions for Bc->Bs(*)+n pi decays are provided.

Decay distributions over the pi-meson invariant mass are analyzed.

Results depend on different form-factor models.

Abstract

The article is devoted to Bc->Bs+n pi, Bc->Bs*+n pi decays with n=1, 2, 3, 4. In the framework of factorization theorem the branching fractions of these processes can be written as convolution of hard part, describing Bc->Bs W, Bc->Bs* W vertices, and spectral functions, that correspond to transition of virtual $W$-boson into a final pi-meson system. These functions were obtained from the fit of experimental data on $\tau$-lepton decay and electron-positron annihilation. Using different sets of Bc->Bs decay form-factors we present branching fractions and distributions over the invariant mass of the final pi-meson system.