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Three-loop QCD corrections to $B_{s} \rightarrow \mu^{+}\mu^{-}$
The decay B_s -> mu^+ mu^- in the Standard Model is generated by the well-known W-box and Z-penguin diagrams that give rise to an effective quark-lepton operator Q_A at low energies. We compute QCD corrections of order alpha_s^2 to its Wilson coefficient C_A. It requires performing three-loop mat...
Autores principales: | , , |
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Lenguaje: | eng |
Publicado: |
2013
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1007/JHEP12(2013)097 http://cds.cern.ch/record/1625764 |
_version_ | 1780933670620626944 |
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author | Hermann, Thomas Misiak, Mikolaj Steinhauser, Matthias |
author_facet | Hermann, Thomas Misiak, Mikolaj Steinhauser, Matthias |
author_sort | Hermann, Thomas |
collection | CERN |
description | The decay B_s -> mu^+ mu^- in the Standard Model is generated by the well-known W-box and Z-penguin diagrams that give rise to an effective quark-lepton operator Q_A at low energies. We compute QCD corrections of order alpha_s^2 to its Wilson coefficient C_A. It requires performing three-loop matching between the full and effective theories. Including the new corrections makes C_A more stable with respect to the matching scale mu_0 at which the top-quark mass and alpha_s are renormalized. The corresponding uncertainty in |C_A|^2 gets reduced from around 1.8% to less than 0.2%. Our results are directly applicable to all the B_{s(d)} -> l^+ l^- decay modes. |
id | cern-1625764 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2013 |
record_format | invenio |
spelling | cern-16257642019-09-30T06:29:59Zdoi:10.1007/JHEP12(2013)097http://cds.cern.ch/record/1625764engHermann, ThomasMisiak, MikolajSteinhauser, MatthiasThree-loop QCD corrections to $B_{s} \rightarrow \mu^{+}\mu^{-}$Particle Physics - PhenomenologyThe decay B_s -> mu^+ mu^- in the Standard Model is generated by the well-known W-box and Z-penguin diagrams that give rise to an effective quark-lepton operator Q_A at low energies. We compute QCD corrections of order alpha_s^2 to its Wilson coefficient C_A. It requires performing three-loop matching between the full and effective theories. Including the new corrections makes C_A more stable with respect to the matching scale mu_0 at which the top-quark mass and alpha_s are renormalized. The corresponding uncertainty in |C_A|^2 gets reduced from around 1.8% to less than 0.2%. Our results are directly applicable to all the B_{s(d)} -> l^+ l^- decay modes.arXiv:1311.1347SFB-CPP-13-83TTP13-034oai:cds.cern.ch:16257642013-11-06 |
spellingShingle | Particle Physics - Phenomenology Hermann, Thomas Misiak, Mikolaj Steinhauser, Matthias Three-loop QCD corrections to $B_{s} \rightarrow \mu^{+}\mu^{-}$ |
title | Three-loop QCD corrections to $B_{s} \rightarrow \mu^{+}\mu^{-}$ |
title_full | Three-loop QCD corrections to $B_{s} \rightarrow \mu^{+}\mu^{-}$ |
title_fullStr | Three-loop QCD corrections to $B_{s} \rightarrow \mu^{+}\mu^{-}$ |
title_full_unstemmed | Three-loop QCD corrections to $B_{s} \rightarrow \mu^{+}\mu^{-}$ |
title_short | Three-loop QCD corrections to $B_{s} \rightarrow \mu^{+}\mu^{-}$ |
title_sort | three-loop qcd corrections to $b_{s} \rightarrow \mu^{+}\mu^{-}$ |
topic | Particle Physics - Phenomenology |
url | https://dx.doi.org/10.1007/JHEP12(2013)097 http://cds.cern.ch/record/1625764 |
work_keys_str_mv | AT hermannthomas threeloopqcdcorrectionstobsrightarrowmumu AT misiakmikolaj threeloopqcdcorrectionstobsrightarrowmumu AT steinhausermatthias threeloopqcdcorrectionstobsrightarrowmumu |