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arxiv: hep-ph/0612329 · v1 · submitted 2006-12-27 · ✦ hep-ph

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Four-Loop Anomalous Dimensions for Radiative Flavour-Changing Decays

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classification ✦ hep-ph
keywords anomalousflavour-changingfour-loopgammaqbar-qalphaamountsaround
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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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  1. The photon-energy spectrum in $B\to X_s\gamma$ to N$^3$LO: light-fermion and large-$N_{\rm c}$ corrections

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    N3LO calculation of the B to Xs gamma photon spectrum including complete light-fermion corrections, two massive fermion loops, and large-Nc terms, with improved results in kinetic and MSR mass schemes.