NNLO vertex corrections in charmless hadronic B decays: Imaginary part

We compute the imaginary part of the 2-loop vertex corrections in the QCD factorization framework for hadronic two-body decays as B → π π. This completes the NNLO calculation of the imaginary part of the topological tree amplitudes and represents an important step towards an NNLO prediction of direc...

Full description

Bibliographic Details
Main Author: Bell, G
Format: Journal article
Language:English
Published: 2008
_version_ 1826295061583757312
author Bell, G
author_facet Bell, G
author_sort Bell, G
collection OXFORD
description We compute the imaginary part of the 2-loop vertex corrections in the QCD factorization framework for hadronic two-body decays as B → π π. This completes the NNLO calculation of the imaginary part of the topological tree amplitudes and represents an important step towards an NNLO prediction of direct CP asymmetries in QCD factorization. Concerning the technical aspects, we find that soft and collinear infrared divergences cancel in the hard-scattering kernels which demonstrates factorization at the 2-loop order. All results are obtained analytically including the dependence on the charm quark mass. The numerical impact of the NNLO corrections is found to be significant, in particular they lead to an enhancement of the strong phase of the colour-suppressed tree amplitude. © 2007 Elsevier B.V. All rights reserved.
first_indexed 2024-03-07T03:55:18Z
format Journal article
id oxford-uuid:c2ac48fc-552b-40c3-b3fc-f9c0176af8de
institution University of Oxford
language English
last_indexed 2024-03-07T03:55:18Z
publishDate 2008
record_format dspace
spelling oxford-uuid:c2ac48fc-552b-40c3-b3fc-f9c0176af8de2022-03-27T06:10:40ZNNLO vertex corrections in charmless hadronic B decays: Imaginary partJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:c2ac48fc-552b-40c3-b3fc-f9c0176af8deEnglishSymplectic Elements at Oxford2008Bell, GWe compute the imaginary part of the 2-loop vertex corrections in the QCD factorization framework for hadronic two-body decays as B → π π. This completes the NNLO calculation of the imaginary part of the topological tree amplitudes and represents an important step towards an NNLO prediction of direct CP asymmetries in QCD factorization. Concerning the technical aspects, we find that soft and collinear infrared divergences cancel in the hard-scattering kernels which demonstrates factorization at the 2-loop order. All results are obtained analytically including the dependence on the charm quark mass. The numerical impact of the NNLO corrections is found to be significant, in particular they lead to an enhancement of the strong phase of the colour-suppressed tree amplitude. © 2007 Elsevier B.V. All rights reserved.
spellingShingle Bell, G
NNLO vertex corrections in charmless hadronic B decays: Imaginary part
title NNLO vertex corrections in charmless hadronic B decays: Imaginary part
title_full NNLO vertex corrections in charmless hadronic B decays: Imaginary part
title_fullStr NNLO vertex corrections in charmless hadronic B decays: Imaginary part
title_full_unstemmed NNLO vertex corrections in charmless hadronic B decays: Imaginary part
title_short NNLO vertex corrections in charmless hadronic B decays: Imaginary part
title_sort nnlo vertex corrections in charmless hadronic b decays imaginary part
work_keys_str_mv AT bellg nnlovertexcorrectionsincharmlesshadronicbdecaysimaginarypart