QCD corrections to b -> s gamma gamma induced decays: B -> Xs gamma gamma and Bs -> gamma gamma

Abstract

We present a complete calculation of the Leading Order QCD corrections to the quark level decay amplitude for b -> s gamma gamma and study their relevance for both the inclusive branching ratio BR(B -> Xs gamma gamma) and for the exclusive decay channel Bs -> gamma gamma. In addition to the uncertainties in the short distance calculation, due to the choice of the renormalization scale, an appreciable uncertainty in both Bs -> gamma gamma and B -> Xs gamma gamma is introduced by the matrix element calculation. We also briefly discuss some long distance effects, especially those due to the etac resonance for the inclusive rate. Finally, the analysis of the IR singularities of the two photon spectrum in the inclusive case is given.

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