The O(alpha_em/alpha_s) correction to BR[B -> X_s gamma]

TL;DR

This paper calculates the O(alpha_em/alpha_s) correction to the B -> X_s gamma decay rate, including all relevant operators, and finds the correction to be negligible, below 1%, confirming previous results.

Contribution

It provides a comprehensive calculation of the correction by including the complete set of relevant operators, improving upon prior approximations.

Findings

Correction is below 1%, negligible for practical purposes.

Includes all relevant operators, enhancing accuracy.

Confirms previous estimates of the correction's insignificance.

Abstract

We evaluate the O(alpha_em/alpha_s) correction to the rate of B -> X_s gamma decay, i.e. we resum all the 0[ alpha_em ln M_W^2/m_b^2 x (alpha_s ln M_W^2/m_b^2)^n ] corrections for n=0,1,2,... Our calculation differs from the previously available one by that it takes into account the complete relevant set of operators. The correction is found to be negligible, i.e. it is below 1%, in accordance with the former results.