Abstract
We calculate the O( α s ) virtual corrections to the decay width for b→ sg in the standard model ( g denotes a gluon). Also the corresponding O( α s ) bremsstrahlung corrections to b→ sg are systematically calculated in this Letter. The combined result is free of infrared and collinear singularities, in accordance with the KLN theorem. Taking into account the existing next-to-leading logarithmic (NLL) result for the Wilson coefficient C 8 eff, a complete NLL result for the branching ratio B NLL (b→sg) is derived. Numerically, we obtain B NLL =(5.0±1.0)×10 −3 , which is more than a factor of two larger than the leading logarithmic result B LL =(2.2±0.8)×10 −3 .
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