Institute for Theoretical Particle Physics (TTP)

TTP08-49 NNLO corrections to inclusive semileptonic B decays in the shape-function region

TTP08-49 NNLO corrections to inclusive semileptonic B decays in the shape-function region

TTP08-49 NNLO corrections to inclusive semileptonic B decays in the shape-function region

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.

Guido Bell
Nuclear Physics B 812 264-289 2009
PDF PostScript arXiv
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