Form factors of the B-S-transitions in the covariant quark model

TL;DR

This paper calculates the transition form factors for B and B_s mesons decaying into scalar mesons below 1 GeV within the covariant quark model, aiding understanding of decay processes and angular distributions.

Contribution

It provides the first full kinematical calculation of B to scalar meson transition form factors in the covariant quark model for scalar mesons below 1 GeV.

Findings

Calculated decay widths for semileptonic and rare B decays involving scalar mesons.

Compared results with other theoretical approaches.

Enhanced understanding of B decay mechanisms involving scalar mesons.

Abstract

In the wake of exploring uncertainty in the full angular distribution of the $B\to K\pi+\mu^+\mu^-$ caused by the presence of the intermediate scalar $K^\ast_0$ meson, we perform the straightforward calculation of the $B(B_s)\to S$ (S is a scalar meson) transition form factors in the full kinematical region within the covariant quark model. We restrict ourselves by the scalar mesons below 1 GeV: $a_0(980), f_0(500), f_0(980), K^\ast_0(800)$. As an application of the obtained results we calculate the widths of the semileptonic and rare decays $B(B_s)\to S\ell\bar\nu$, $B(B_s)\to S\ell\bar\ell$ and $B(B_s)\to S\nu\bar\nu$. We compare our results with those obtained in other approaches.