arXiv · 0707.3090
NNLO fermionic corrections to the charm quark mass dependent matrix elements in B -> X_s gamma
Abstract
We compute the virtual O(alpha_s^2) fermionic contributions to the charm quark mass dependent matrix elements of the B -> X_s gamma decay. In the case of a massless quark loop insertion into the gluon propagator, our result obtained as an expansion in z=m_c^2/m_b^2 and an exact expression in terms of multi-fold MB integrals, confirms the findings of Bieri, Greub and Steinhauser [19]. We observe, however, large deviations in the case of a b-quark loop insertion.The charm quark loop shows smaller, but still noticeable differences.
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R. Boughezal, M. Czakon, T. Schutzmeier. 2007-08-03. NNLO fermionic corrections to the charm quark mass dependent matrix elements in B -> X_s gamma. https://doi.org/10.1088/1126-6708%2F2007%2F09%2F072
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