Four-Loop Anomalous Dimensions for Radiative Flavour-Changing Decays

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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19 pages

Scientific paper

10.1088/1126-6708/2007/03/008

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(alpha_s^2(mu_b)) correction to the B -> X_s gamma branching ratio amounts to around -2.9% for mu_b = 5 GeV, and -4.4% for mu_b = 2.5 GeV

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