Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-10-31
Nucl.Phys.B812:264-289,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
29 pages, 6 figures. v2: minor changes, matches published version
Scientific paper
10.1016/j.nuclphysb.2008.12.018
We compute 2-loop QCD corrections to the hard coefficient functions which arise in the factorization formula for B -> X_u l nu decays in the shape-function region. Our calculation provides the last missing piece required for a NNLO analysis of inclusive semileptonic B decays, which may significantly reduce the theoretical uncertainty in the extraction of the CKM matrix element |V_ub|. Among the technical aspects, we find that the 2-loop hard coefficient functions are free of infrared singularities as predicted by the factorization framework. We perform a brief numerical analysis of the NNLO corrections and include a discussion on charm mass effects.
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