Complete electroweak matching for radiative B decays

Sep, 2001
20 pages
Published in:
  • JHEP 10 (2001) 020
e-Print:
Report number:
  • CERN-TH-2001-213,
  • TUM-HEP-426-01,
  • MPI-PHT-2001-26

Citations per year

200120072013201920240246810
Abstract:
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.
  • B: radiative decay
  • quark: strangeness
  • B: branching ratio
  • quantum electrodynamics: perturbation theory
  • quantum chromodynamics: correction
  • electroweak interaction: radiative correction
  • Feynman graph: higher-order
  • amplitude analysis
  • numerical calculations
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