A New Estimate of $B \to (\rho, \omega)+ \gamma$ In The Light-Cone QCD Sum Rule

TL;DR

This paper presents a new method using light-cone QCD sum rules to estimate the branching ratios of B meson decays to rho or omega mesons plus a photon, reducing uncertainties from chiral-even operators.

Contribution

It introduces a novel approach with chiral quark current operators to eliminate specific uncertainties in the sum rule calculations for these decays.

Findings

Branching ratios align with experimental data.

Sum rules are valid to twist-three accuracy.

Method reduces uncertainties from chiral-even operators.

Abstract

We propose a new estimate of the process $B \to (\rho, \omega)+ \gamma$ by using the light-cone QCD sum rule. The aim is to choose the chiral quark current operators in order to eliminate the uncertainty arising from the chiral-even operators in the correlator. In the case of neglecting the corrections from $\rho$-meson mass, the sum rules for form factors are obtained, which are valid to the twist-three accuracy. The resulting branching ratios are consistent with the experimental data.