On-shell Renormalization with Vector-like Leptons, One-loop Muon-Higgs Coupling and Muon g-2
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| Format: | Preprint |
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2024
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| _version_ | 1866910691512811520 |
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| author | Möhling, Kilian Stöckinger, Dominik Stöckinger-Kim, Hyejung |
| author_facet | Möhling, Kilian Stöckinger, Dominik Stöckinger-Kim, Hyejung |
| contents | 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 $\overline{\text{MS}}$ 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 $Δa_μ^{\text{VLL}}$. In the interesting case of large masses and opposite-sign coupling, the lowest-order correlation implies a fixed value of $Δa_μ^{\text{VLL}}$ around $22.5\times 10^{-10}$, while the higher-order corrections significantly reduce this value to the interval $(10...18)\times 10^{-10}$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_09421 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On-shell Renormalization with Vector-like Leptons, One-loop Muon-Higgs Coupling and Muon g-2 Möhling, Kilian Stöckinger, Dominik Stöckinger-Kim, Hyejung High Energy Physics - Phenomenology 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 $\overline{\text{MS}}$ 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 $Δa_μ^{\text{VLL}}$. In the interesting case of large masses and opposite-sign coupling, the lowest-order correlation implies a fixed value of $Δa_μ^{\text{VLL}}$ around $22.5\times 10^{-10}$, while the higher-order corrections significantly reduce this value to the interval $(10...18)\times 10^{-10}$. |
| title | On-shell Renormalization with Vector-like Leptons, One-loop Muon-Higgs Coupling and Muon g-2 |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2407.09421 |