BSM master formula for ε′/ε in the WET basis at NLO in QCD
Abstract As an important step towards a complete next-to-leading (NLO) QCD analysis of the ratio ε′/ε within the Standard Model Effective Field Theory (SMEFT), we present for the first time the NLO master formula for the BSM part of this ratio expressed in terms of the Wilson coefficients of all con...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2021)043 |
| _version_ | 1818462268911779840 |
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| author | Jason Aebischer Christoph Bobeth Andrzej J. Buras Jacky Kumar |
| author_facet | Jason Aebischer Christoph Bobeth Andrzej J. Buras Jacky Kumar |
| author_sort | Jason Aebischer |
| collection | DOAJ |
| description | Abstract As an important step towards a complete next-to-leading (NLO) QCD analysis of the ratio ε′/ε within the Standard Model Effective Field Theory (SMEFT), we present for the first time the NLO master formula for the BSM part of this ratio expressed in terms of the Wilson coefficients of all contributing operators evaluated at the electroweak scale. To this end we use the common Weak Effective Theory (WET) basis (the so-called JMS basis) for which tree-level and one-loop matching to the SMEFT are already known. The relevant hadronic matrix elements of BSM operators at the electroweak scale are taken from Dual QCD approach and the SM ones from lattice QCD. It includes the renormalization group evolution and quark-flavour threshold effects at NLO in QCD from hadronic scales, at which these matrix elements have been calculated, to the electroweak scale. |
| first_indexed | 2024-12-14T23:59:21Z |
| format | Article |
| id | doaj.art-d10096bca4e54e07afc179517e62fdbc |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T23:59:21Z |
| publishDate | 2021-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-d10096bca4e54e07afc179517e62fdbc2022-12-21T22:42:58ZengSpringerOpenJournal of High Energy Physics1029-84792021-12-0120211211910.1007/JHEP12(2021)043BSM master formula for ε′/ε in the WET basis at NLO in QCDJason Aebischer0Christoph Bobeth1Andrzej J. Buras2Jacky Kumar3Department of Physics, University of California at San DiegoTUM Institute for Advanced StudyTUM Institute for Advanced StudyTUM Institute for Advanced StudyAbstract As an important step towards a complete next-to-leading (NLO) QCD analysis of the ratio ε′/ε within the Standard Model Effective Field Theory (SMEFT), we present for the first time the NLO master formula for the BSM part of this ratio expressed in terms of the Wilson coefficients of all contributing operators evaluated at the electroweak scale. To this end we use the common Weak Effective Theory (WET) basis (the so-called JMS basis) for which tree-level and one-loop matching to the SMEFT are already known. The relevant hadronic matrix elements of BSM operators at the electroweak scale are taken from Dual QCD approach and the SM ones from lattice QCD. It includes the renormalization group evolution and quark-flavour threshold effects at NLO in QCD from hadronic scales, at which these matrix elements have been calculated, to the electroweak scale.https://doi.org/10.1007/JHEP12(2021)043Beyond Standard ModelCP violationKaon Physics |
| spellingShingle | Jason Aebischer Christoph Bobeth Andrzej J. Buras Jacky Kumar BSM master formula for ε′/ε in the WET basis at NLO in QCD Journal of High Energy Physics Beyond Standard Model CP violation Kaon Physics |
| title | BSM master formula for ε′/ε in the WET basis at NLO in QCD |
| title_full | BSM master formula for ε′/ε in the WET basis at NLO in QCD |
| title_fullStr | BSM master formula for ε′/ε in the WET basis at NLO in QCD |
| title_full_unstemmed | BSM master formula for ε′/ε in the WET basis at NLO in QCD |
| title_short | BSM master formula for ε′/ε in the WET basis at NLO in QCD |
| title_sort | bsm master formula for ε ε in the wet basis at nlo in qcd |
| topic | Beyond Standard Model CP violation Kaon Physics |
| url | https://doi.org/10.1007/JHEP12(2021)043 |
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