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Complete electroweak matching for radiative B decays

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arxiv hep-ph/0109058 v2 pith:OVMRXEX7 submitted 2001-09-07 hep-ph

Paolo Gambino , Ulrich Haisch This is my paper · ORCID
classification hep-ph
keywords alphaelectroweakbranchingcalculationcoefficientscompletecorrectionsdecays
verification ladder T0 review T1 audit T2 compute T3 formal

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We compute the complete two-loop O(alpha) Wilson coefficients relevant for radiative decays of the B meson in the SM. This is a necessary step in the calculation of the O(alpha alpha_s^n ln^n m_b/M_W) corrections and improves on our previous analysis of electroweak effects in B -> X_s gamma. We describe in detail several interesting technical aspects of the calculation and include all dominant QED matrix elements. In our final result, we neglect only terms originated from the unknown O(alpha alpha_s) evolution of the Wilson coefficients and some suppressed two-loop matrix elements. Due to the compensation among different effects, we find that non-trivial electroweak corrections decrease the branching ratio by about 3.6% for a light Higgs boson, very close to our previous result. The corresponding up-to-date SM prediction for the branching ratio with E_gamma > 1.6 GeV is (3.61 +- 0.30) x 10^-4.

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Cited by 3 Pith papers

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    At NNLO in QCD, the heavy quark expansion predicts the B+, Bd, and Bs decay widths and semileptonic branching fractions within experimental uncertainties, with a systematic 4% shortfall in the central width values.

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    Including twist-5 and twist-6 B_s-meson distribution amplitudes enhances the charm-loop non-local form factors in B_s to phi l+l- by about an order of magnitude, producing a larger but still Standard-Model-consistent ...

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