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 ν decays in the shape-function region. Our calculation provides the last missing piece required for a NNLO analysis of inclusive semileptonic B decays, w...
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| Format: | Journal article |
| Idioma: | English |
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2009
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| Sumari: | We compute 2-loop QCD corrections to the hard coefficient functions which arise in the factorization formula for B → X u ℓ ν 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 u b |. 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. © 2009 Elsevier B.V. All rights reserved. |
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