NNLO fermionic corrections to the charm quark mass dependent matrix elements in B -> X_s gamma

Details NNLO fermionic corrections to the charm quark mass dependent matrix elements in B -> X_s gamma NNLO fermionic corrections to the charm quark mass dependent matrix elements in B -> X_s gamma

2007-07-20

arxiv.org/abs/0707.3090v2

JHEP 0709:072,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 3 figures, 1 table

Scientific paper

10.1088/1126-6708/2007/09/072

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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