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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP10(2024)170 |
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| Summary: | 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. |
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| ISSN: | 1029-8479 |