Towards two- and three-loop QCD corrections to the width difference in $B_s-\bar{B}_s$ mixing

In this work we address the issue of large perturbative uncertainties in the theory prediction for $\Delta \Gamma_s$, the width difference in the $B^0_s - \bar{B}^0_s$ mixing process. To this aim we complete important steps towards the full analytic result for the previously unknown Wilson coeffi...

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Main Author: Vladyslav Shtabovenko
Format: Article
Language:English
Published: SciPost 2022-06-01
Series:SciPost Physics Proceedings
Online Access:https://scipost.org/SciPostPhysProc.7.025
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author Vladyslav Shtabovenko
author_facet Vladyslav Shtabovenko
author_sort Vladyslav Shtabovenko
collection DOAJ
description In this work we address the issue of large perturbative uncertainties in the theory prediction for $\Delta \Gamma_s$, the width difference in the $B^0_s - \bar{B}^0_s$ mixing process. To this aim we complete important steps towards the full analytic result for the previously unknown Wilson coefficients from the matching between $|\Delta B|=1$ and $|\Delta B|=2$ effective Hamiltonians at next-to-next-leading order (NNLO) in the strong coupling constant. We provide a thorough discussion of technical and conceptual difficulties behind this computation and give an outlook regarding the availability of the new NNLO theory prediction for $\Delta \Gamma_s$.
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spelling doaj.art-ddfc9a9cd46d4b7f884b9f72ef3114b02022-12-22T00:18:36ZengSciPostSciPost Physics Proceedings2666-40032022-06-01702510.21468/SciPostPhysProc.7.025Towards two- and three-loop QCD corrections to the width difference in $B_s-\bar{B}_s$ mixingVladyslav ShtabovenkoIn this work we address the issue of large perturbative uncertainties in the theory prediction for $\Delta \Gamma_s$, the width difference in the $B^0_s - \bar{B}^0_s$ mixing process. To this aim we complete important steps towards the full analytic result for the previously unknown Wilson coefficients from the matching between $|\Delta B|=1$ and $|\Delta B|=2$ effective Hamiltonians at next-to-next-leading order (NNLO) in the strong coupling constant. We provide a thorough discussion of technical and conceptual difficulties behind this computation and give an outlook regarding the availability of the new NNLO theory prediction for $\Delta \Gamma_s$.https://scipost.org/SciPostPhysProc.7.025
spellingShingle Vladyslav Shtabovenko
Towards two- and three-loop QCD corrections to the width difference in $B_s-\bar{B}_s$ mixing
SciPost Physics Proceedings
title Towards two- and three-loop QCD corrections to the width difference in $B_s-\bar{B}_s$ mixing
title_full Towards two- and three-loop QCD corrections to the width difference in $B_s-\bar{B}_s$ mixing
title_fullStr Towards two- and three-loop QCD corrections to the width difference in $B_s-\bar{B}_s$ mixing
title_full_unstemmed Towards two- and three-loop QCD corrections to the width difference in $B_s-\bar{B}_s$ mixing
title_short Towards two- and three-loop QCD corrections to the width difference in $B_s-\bar{B}_s$ mixing
title_sort towards two and three loop qcd corrections to the width difference in b s bar b s mixing
url https://scipost.org/SciPostPhysProc.7.025
work_keys_str_mv AT vladyslavshtabovenko towardstwoandthreeloopqcdcorrectionstothewidthdifferenceinbsbarbsmixing