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arXiv · 2509.07101

Fermi Geometry of the Higgs Sector

Nathaniel Craig·I-Kwan Lee·Yu-Tse Lee
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Abstract

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.

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Nathaniel Craig, I-Kwan Lee, Yu-Tse Lee. 2025-09-08. Fermi Geometry of the Higgs Sector. https://doi.org/10.1007/jhep02(2026)044

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