Rare decays $\bar{B}\to X_{s(d)}γ$ at the NLO

Abstract

We present an independent calculation of ${\cal{O}}(α_s)$ matrix elements of the QCD penguin operators for the decays $\bar{B}\to X_{s(d)}γ$. The Mellin-Barnes representation technique is applied for the systematic numerical evaluation of involved two-loop diagrams. The numerical effect of the calculated contributions is confirmed to be of order of 1%. We also present an updated numerical analysis for $\bar{B}\to X_{s(d)}γ$ decay rates.