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(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

19 pages

References in corpus (3)

• Estimate of BR(B -> X_s gamma) at O(alpha_s^2)
• NNLO QCD corrections to the B -> X_s gamma matrix elements using interpolation in m_c
• Electromagnetic Logarithms in B -> X_s l+ l-

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