Abstract
A detailed standard model (SM) calculation of the O(alpha_s) virtual corrections to the decay width for b -> s g is presented (g denotes a gluon). Also the complete expressions for the corresponding bremsstrahlung corrections are given. 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 BR(b->sg) is derived. Numerically, we obtain BR(b->sg)=(5.0 +/- 1.0) * 10^(-3), which is more than a factor of two larger than the leading logarithmic result. The impact of these corrections on the inclusive charmless hadronic branching ratio of B-mesons, which can be used to extract |V_(ub)/V_(cb)|, is shown to be of similar importance as NLL corrections to b-quark decay modes with three quarks in the final state. Finally, the impact of the NLL corrections to b->sg on the charmless hadronic branching ratio is investigated in scenarios, where the Wilson coefficient C_8 is enhanced by new physics.
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