Four-Loop Anomalous Dimensions for Radiative Flavour-Changing Decays

Abstract

We evaluate the complete four-loop anomalous dimension matrix that is necessary for determining the effective flavour-changing neutral current couplings qbar-q'-gamma and qbar-q'-g at the next-to-next-to-leading order in QCD. The resulting O(alphas2(mub)) correction to the B -> Xs gamma branching ratio amounts to around -2.9% for mub = 5 GeV, and -4.4% for mub = 2.5 GeV

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