Two-loop QCD penguin contribution to the width difference in B s − B ¯ s $$ {\overline{B}}_s $$ mixing

Abstract We consider two-loop QCD corrections to the element Γ 12 q $$ {\Gamma}_{12}^q $$ of the decay matrix in B q − B ¯ q $$ {\overline{B}}_q $$ mixing, q = d, s, in the leading power of the Heavy Quark Expansion. The calculated contributions involve one current-current and one penguin operator a...

Full description

Bibliographic Details
Main Authors: Marvin Gerlach, Ulrich Nierste, Vladyslav Shtabovenko, Matthias Steinhauser
Format: Article
Language:English
Published: SpringerOpen 2021-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP07(2021)043
_version_ 1818601159458291712
author Marvin Gerlach
Ulrich Nierste
Vladyslav Shtabovenko
Matthias Steinhauser
author_facet Marvin Gerlach
Ulrich Nierste
Vladyslav Shtabovenko
Matthias Steinhauser
author_sort Marvin Gerlach
collection DOAJ
description Abstract We consider two-loop QCD corrections to the element Γ 12 q $$ {\Gamma}_{12}^q $$ of the decay matrix in B q − B ¯ q $$ {\overline{B}}_q $$ mixing, q = d, s, in the leading power of the Heavy Quark Expansion. The calculated contributions involve one current-current and one penguin operator and constitute the next step towards a theory prediction for the width difference ∆Γ s matching the precise experimental data. We present compact analytic results for all matching coefficients in an expansion in m c /m b up to second order. Our new corrections are comparable in size to the current experimental error and slightly increase ∆Γ s .
first_indexed 2024-12-16T12:46:57Z
format Article
id doaj.art-dab329f6aaae48edaad461cfba4e8c08
institution Directory Open Access Journal
issn 1029-8479
language English
last_indexed 2024-12-16T12:46:57Z
publishDate 2021-07-01
publisher SpringerOpen
record_format Article
series Journal of High Energy Physics
spelling doaj.art-dab329f6aaae48edaad461cfba4e8c082022-12-21T22:31:16ZengSpringerOpenJournal of High Energy Physics1029-84792021-07-012021712110.1007/JHEP07(2021)043Two-loop QCD penguin contribution to the width difference in B s − B ¯ s $$ {\overline{B}}_s $$ mixingMarvin Gerlach0Ulrich Nierste1Vladyslav Shtabovenko2Matthias Steinhauser3Institut für Theoretische Teilchenphysik, Karlsruhe Institute of Technology (KIT)Institut für Theoretische Teilchenphysik, Karlsruhe Institute of Technology (KIT)Institut für Theoretische Teilchenphysik, Karlsruhe Institute of Technology (KIT)Institut für Theoretische Teilchenphysik, Karlsruhe Institute of Technology (KIT)Abstract We consider two-loop QCD corrections to the element Γ 12 q $$ {\Gamma}_{12}^q $$ of the decay matrix in B q − B ¯ q $$ {\overline{B}}_q $$ mixing, q = d, s, in the leading power of the Heavy Quark Expansion. The calculated contributions involve one current-current and one penguin operator and constitute the next step towards a theory prediction for the width difference ∆Γ s matching the precise experimental data. We present compact analytic results for all matching coefficients in an expansion in m c /m b up to second order. Our new corrections are comparable in size to the current experimental error and slightly increase ∆Γ s .https://doi.org/10.1007/JHEP07(2021)043NLO Computations
spellingShingle Marvin Gerlach
Ulrich Nierste
Vladyslav Shtabovenko
Matthias Steinhauser
Two-loop QCD penguin contribution to the width difference in B s − B ¯ s $$ {\overline{B}}_s $$ mixing
Journal of High Energy Physics
NLO Computations
title Two-loop QCD penguin contribution to the width difference in B s − B ¯ s $$ {\overline{B}}_s $$ mixing
title_full Two-loop QCD penguin contribution to the width difference in B s − B ¯ s $$ {\overline{B}}_s $$ mixing
title_fullStr Two-loop QCD penguin contribution to the width difference in B s − B ¯ s $$ {\overline{B}}_s $$ mixing
title_full_unstemmed Two-loop QCD penguin contribution to the width difference in B s − B ¯ s $$ {\overline{B}}_s $$ mixing
title_short Two-loop QCD penguin contribution to the width difference in B s − B ¯ s $$ {\overline{B}}_s $$ mixing
title_sort two loop qcd penguin contribution to the width difference in b s b ¯ s overline b s mixing
topic NLO Computations
url https://doi.org/10.1007/JHEP07(2021)043
work_keys_str_mv AT marvingerlach twoloopqcdpenguincontributiontothewidthdifferenceinbsbsoverlinebsmixing
AT ulrichnierste twoloopqcdpenguincontributiontothewidthdifferenceinbsbsoverlinebsmixing
AT vladyslavshtabovenko twoloopqcdpenguincontributiontothewidthdifferenceinbsbsoverlinebsmixing
AT matthiassteinhauser twoloopqcdpenguincontributiontothewidthdifferenceinbsbsoverlinebsmixing