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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 B(B-->X-s gamma gamma) and for the exclusive decay channel B-s-->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 B-s-->gamma gamma and B-->X-s gamma gamma is introduced by the matrix element calculation. We also briefly discuss some long distance effects, especially those due to the eta(c) resonance for the inclusive rate. Finally, a brief analysis of the IR singularities of the two photon spectrum in the inclusive case is given

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

QCD corrections to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>b</mml:mi><mml:mo>→</mml:mo><mml:mi>s</mml:mi><mml:mi>γ</mml:mi><mml:mi>γ</mml:mi></mml:math>induced decays:<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi><mml:mo>→</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mi>γ</mml:mi><mml:mi>γ</mml:mi></mml:math>and<mml:math …

QCD corrections tob→sγγinduced decays:B→Xsγγand