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...

Full description

Bibliographic Details
Main Author: Bell, G
Format: Journal article
Language:English
Published: 2009
_version_ 1826305357739196416
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