$B-S$ transition form-factors with the light-cone QCD sum rules

TL;DR

This paper calculates B-to-scalar meson transition form-factors using light-cone QCD sum rules, considering different scalar meson ground state scenarios and including perturbative corrections.

Contribution

It introduces a detailed calculation of B-S form-factors with perturbative corrections for different scalar meson assignments using light-cone QCD sum rules.

Findings

Form-factors fitted into single-pole models

Inclusion of ${ m O}(\alpha_s)$ corrections

Comparison of two scalar meson scenarios

Abstract

In the article, we assume the two scalar nonet mesons below and above 1 GeV are all $\bar{q}q$ states, in case I, the scalar mesons below 1 GeV are the ground states, in case II, the scalar mesons above 1 GeV are the ground states. We calculate the $B-S$ form-factors by taking into account the perturbative ${\mathcal{O}}(\alpha_s)$ corrections to the twist-2 terms using the light-cone QCD sum rules and fit the numerical values of the form-factors into the single-pole forms, which have many phenomenological applications.