Fermi Geometry of the Higgs Sector
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918322307596288 |
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| author | Craig, Nathaniel Lee, I-Kwan Lee, Yu-Tse |
| author_facet | Craig, Nathaniel Lee, I-Kwan Lee, Yu-Tse |
| contents | We develop the field space geometry of scalar-fermion effective field theories as a vector bundle supermanifold. We further establish a Fermi normal coordinate system on the bundle that clarifies the geometric content in scattering amplitudes, particularly the imprints of field space non-analyticities. Specializing to the Standard Model Higgs sector, we examine the geometric consequences of custodial symmetry violation, including implications for the physical Higgs field as a distinguished scalar axis and deformations in the fermionic sector. Our results enable a systematic and realistic geometric interpretation of Higgs sector phenomenology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_07101 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fermi Geometry of the Higgs Sector Craig, Nathaniel Lee, I-Kwan Lee, Yu-Tse High Energy Physics - Theory High Energy Physics - Phenomenology We develop the field space geometry of scalar-fermion effective field theories as a vector bundle supermanifold. We further establish a Fermi normal coordinate system on the bundle that clarifies the geometric content in scattering amplitudes, particularly the imprints of field space non-analyticities. Specializing to the Standard Model Higgs sector, we examine the geometric consequences of custodial symmetry violation, including implications for the physical Higgs field as a distinguished scalar axis and deformations in the fermionic sector. Our results enable a systematic and realistic geometric interpretation of Higgs sector phenomenology. |
| title | Fermi Geometry of the Higgs Sector |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2509.07101 |