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 |
Language: | English |
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2009
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author | Bell, G |
author_facet | Bell, G |
author_sort | Bell, G |
collection | OXFORD |
description | 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. |
first_indexed | 2024-03-07T06:31:40Z |
format | Journal article |
id | oxford-uuid:f630c940-4806-4c45-a95a-4f209b9e9699 |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-07T06:31:40Z |
publishDate | 2009 |
record_format | dspace |
spelling | oxford-uuid:f630c940-4806-4c45-a95a-4f209b9e96992022-03-27T12:33:17ZNNLO corrections to inclusive semileptonic B decays in the shape-function regionJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f630c940-4806-4c45-a95a-4f209b9e9699EnglishSymplectic Elements at Oxford2009Bell, GWe 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. |
spellingShingle | Bell, G NNLO corrections to inclusive semileptonic B decays in the shape-function region |
title | NNLO corrections to inclusive semileptonic B decays in the shape-function region |
title_full | NNLO corrections to inclusive semileptonic B decays in the shape-function region |
title_fullStr | NNLO corrections to inclusive semileptonic B decays in the shape-function region |
title_full_unstemmed | NNLO corrections to inclusive semileptonic B decays in the shape-function region |
title_short | NNLO corrections to inclusive semileptonic B decays in the shape-function region |
title_sort | nnlo corrections to inclusive semileptonic b decays in the shape function region |
work_keys_str_mv | AT bellg nnlocorrectionstoinclusivesemileptonicbdecaysintheshapefunctionregion |