Towards a next-to-leading logarithmic result in $B\to X_s\gamma$

Abstract

The calculation of the $O({\text{a}}_s)$ virtual corrections to the matrix element of the inclusive decay $b\to s\gamma$ is reported. These contributions drastically reduce the large renormalization scale dependence of the leading logarithmic calculation. Combining these results with the preliminary result for the Wilson coefficient $C_7(m_b)$ calculated recently by Chetyrkin, Misiak, and Münz, we estimate the branching ratio to be $BR(B\to X_s\gamma )=(3.25\pm 0.50)\times 10^{-4}$.

Comments: 5 pages, 1 figure included, uses sprocl.sty and psfig.sty. Submitted for the DPF96 proceedings