Rare $B_s$ decays in the relativistic quark model

TL;DR

This paper calculates the branching fractions of rare $B_s$ decays using a relativistic quark model, providing form factors across the full kinematic range and comparing results with experimental data.

Contribution

It introduces a model-independent method to determine form factors for $B_s$ decays, improving the reliability of theoretical predictions.

Findings

Calculated form factors match experimental data

Predicted branching ratios for various $B_s$ decays

Provided analytical expressions for form factors

Abstract

The branchings fractions of the rare $B_s$ decays are calculated in the framework of the QCD-motivated relativistic quark model. The form factors of the weak $B_s$ transitions to light mesons are expressed through the overlap integral of the initial and final meson wave functions in the whole accessible kinematical range. Explicit determination of the momentum transfer dependence of the form factors without additional model assumptions and extrapolations significantly improve the reliability of the obtained results. The approximate analytical form of the form factors is given in order to simplify the comparison with other predictions and experiment. The calculated form factors are applied for the investigations of the rare semileptonic, radiative and nonleptonic $B_s$ decays. The factorization approximation is used for the description of the nonleptonic decays. All results agree well with available experimental data.