On-shell renormalization with vector-like leptons, one-loop muon–Higgs coupling and muon g − 2
Abstract Models with vector-like leptons can strongly modify the lepton mass generation mechanism and lead to correlated effects in lepton–Higgs couplings and lepton dipole moments. Here we begin an analysis of higher-order corrections in such models by setting up a renormalization scheme with full...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-10-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP10(2024)170 |
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| author | Kilian Möhling Dominik Stöckinger Hyejung Stöckinger-Kim |
| author_facet | Kilian Möhling Dominik Stöckinger Hyejung Stöckinger-Kim |
| author_sort | Kilian Möhling |
| collection | DOAJ |
| description | Abstract Models with vector-like leptons can strongly modify the lepton mass generation mechanism and lead to correlated effects in lepton–Higgs couplings and lepton dipole moments. Here we begin an analysis of higher-order corrections in such models by setting up a renormalization scheme with full on-shell conditions on the lepton self energies, masses and fields. A minimal set of fundamental parameters is renormalized in the MS ¯ $$ \overline{\textrm{MS}} $$ scheme. We provide a detailed discussion of lepton mixing and redundancies at higher orders, show how the relevant counterterms can be obtained from the renormalization conditions, and determine the β-functions corresponding to the scheme. As a first application we calculate the one-loop effective muon–Higgs coupling and analyse its correlation with the muon anomalous magnetic moment ∆ a μ VLL $$ \Delta {a}_{\mu}^{\textrm{VLL}} $$ . In the interesting case of large masses and opposite-sign coupling, the lowest-order correlation implies a fixed value of ∆ a μ VLL $$ \Delta {a}_{\mu}^{\textrm{VLL}} $$ around 22.5 × 10−10, while the higher-order corrections significantly reduce this value to the interval (10 . . . 18) × 10−10. |
| format | Article |
| id | doaj-art-06a964381d9e4adbaef2435f48efca38 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-06a964381d9e4adbaef2435f48efca382025-08-20T02:30:59ZengSpringerOpenJournal of High Energy Physics1029-84792024-10-0120241013010.1007/JHEP10(2024)170On-shell renormalization with vector-like leptons, one-loop muon–Higgs coupling and muon g − 2Kilian Möhling0Dominik Stöckinger1Hyejung Stöckinger-Kim2Institut für Kern- und Teilchenphysik, TU DresdenInstitut für Kern- und Teilchenphysik, TU DresdenInstitut für Kern- und Teilchenphysik, TU DresdenAbstract Models with vector-like leptons can strongly modify the lepton mass generation mechanism and lead to correlated effects in lepton–Higgs couplings and lepton dipole moments. Here we begin an analysis of higher-order corrections in such models by setting up a renormalization scheme with full on-shell conditions on the lepton self energies, masses and fields. A minimal set of fundamental parameters is renormalized in the MS ¯ $$ \overline{\textrm{MS}} $$ scheme. We provide a detailed discussion of lepton mixing and redundancies at higher orders, show how the relevant counterterms can be obtained from the renormalization conditions, and determine the β-functions corresponding to the scheme. As a first application we calculate the one-loop effective muon–Higgs coupling and analyse its correlation with the muon anomalous magnetic moment ∆ a μ VLL $$ \Delta {a}_{\mu}^{\textrm{VLL}} $$ . In the interesting case of large masses and opposite-sign coupling, the lowest-order correlation implies a fixed value of ∆ a μ VLL $$ \Delta {a}_{\mu}^{\textrm{VLL}} $$ around 22.5 × 10−10, while the higher-order corrections significantly reduce this value to the interval (10 . . . 18) × 10−10.https://doi.org/10.1007/JHEP10(2024)170Higher Order Electroweak CalculationsRenormalization and RegularizationVector-Like FermionsRenormalization Group |
| spellingShingle | Kilian Möhling Dominik Stöckinger Hyejung Stöckinger-Kim On-shell renormalization with vector-like leptons, one-loop muon–Higgs coupling and muon g − 2 Journal of High Energy Physics Higher Order Electroweak Calculations Renormalization and Regularization Vector-Like Fermions Renormalization Group |
| title | On-shell renormalization with vector-like leptons, one-loop muon–Higgs coupling and muon g − 2 |
| title_full | On-shell renormalization with vector-like leptons, one-loop muon–Higgs coupling and muon g − 2 |
| title_fullStr | On-shell renormalization with vector-like leptons, one-loop muon–Higgs coupling and muon g − 2 |
| title_full_unstemmed | On-shell renormalization with vector-like leptons, one-loop muon–Higgs coupling and muon g − 2 |
| title_short | On-shell renormalization with vector-like leptons, one-loop muon–Higgs coupling and muon g − 2 |
| title_sort | on shell renormalization with vector like leptons one loop muon higgs coupling and muon g 2 |
| topic | Higher Order Electroweak Calculations Renormalization and Regularization Vector-Like Fermions Renormalization Group |
| url | https://doi.org/10.1007/JHEP10(2024)170 |
| work_keys_str_mv | AT kilianmohling onshellrenormalizationwithvectorlikeleptonsoneloopmuonhiggscouplingandmuong2 AT dominikstockinger onshellrenormalizationwithvectorlikeleptonsoneloopmuonhiggscouplingandmuong2 AT hyejungstockingerkim onshellrenormalizationwithvectorlikeleptonsoneloopmuonhiggscouplingandmuong2 |