Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-09-07
JHEP 0110 (2001) 020
Physics
High Energy Physics
High Energy Physics - Phenomenology
20 pages, 2 figures, uses amssymb.sty, amsmath.sty and feynarts.sty. Minor changes
Scientific paper
10.1088/1126-6708/2001/10/020
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.
Gambino Paolo
Haisch Ulrich
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