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Estimate of BR(B -> X_s gamma) at O(alpha_s^2)

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arxiv hep-ph/0609232 v2 pith:QQFQVI5W submitted 2006-09-22 hep-ph

M.Misiak , H.M.Asatrian , K.Bieri , M.Czakon , A.Czarnecki , T.Ewerth , A.Ferroglia , P.Gambino
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M.Gorbahn C.Greub U.Haisch A.Hovhannisyan T.Hurth A.Mitov V.Poghosyan M.Slusarczyk M.Steinhauser
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Combining our results for various O(alpha_s^2) corrections to the weak radiative B-meson decay, we are able to present the first estimate of the branching ratio at the next-to-next-to-leading order in QCD. We find BR(B -> X_s gamma) = (3.15 +_ 0.23) x 10^-4 for E_gamma > 1.6 GeV in the B-meson rest frame. The four types of uncertainties: non-perturbative (5%), parametric (3%), higher-order (3%) and m_c-interpolation ambiguity (3%) have been added in quadrature to obtain the total error.

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