The rare decay b--> s gluon beyond leading logarithms

Details The rare decay b--> s gluon beyond leading logarithms The rare decay b--> s gluon beyond leading logarithms

2000-08-08

arxiv.org/abs/hep-ph/0008071v1

Phys.Lett.B494:237-247,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages including 5 postscript figures; uses epsfig

Scientific paper

10.1016/S0370-2693(00)01205-3

We calculate the alpha_s virtual corrections to the decay width for b --> s gluon in the standard model. Also the corresponding order alpha_s bremsstrahlung corrections are systematically calculated in this paper. 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(b -> s gluon) 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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