Calculates O(α α_s) scheme-conversion coefficients for semileptonic weak operators in MOM/SMOM schemes using projectors that eliminate pure-QCD artifacts and yield reduced scale dependence.
Complete electroweak matching for radiative B decays
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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.
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hep-ph 1years
2022 1verdicts
UNVERDICTED 1representative citing papers
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Semileptonic weak Hamiltonian to $\mathcal{O}(\alpha \alpha_s(\mu_{\mathrm{Lattice}}))$ in momentum-space subtraction schemes
Calculates O(α α_s) scheme-conversion coefficients for semileptonic weak operators in MOM/SMOM schemes using projectors that eliminate pure-QCD artifacts and yield reduced scale dependence.