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Four-Loop Anomalous Dimensions for Radiative Flavour-Changing Decays

High Energy Physics - Phenomenology 2010-10-27 v1

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

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Cite

@article{arxiv.hep-ph/0612329,
  title  = {Four-Loop Anomalous Dimensions for Radiative Flavour-Changing Decays},
  author = {Michal Czakon and Ulrich Haisch and Mikolaj Misiak},
  journal= {arXiv preprint arXiv:hep-ph/0612329},
  year   = {2010}
}

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19 pages