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Mechanism of neutrino mass generation

Determine the physical mechanism by which neutrinos acquire nonzero mass, so as to clarify whether Higgs–neutrino couplings should be included in Standard Model vertex validation and diagram construction.

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Background

Within the interaction validation rules, the authors require vertices involving the Higgs boson to couple only to massive particles. Although neutrinos are experimentally known to have nonzero masses, the specific mass-generation mechanism is not established, so the tool omits any Higgs–neutrino couplings.

This unresolved issue in particle physics directly impacts how FeynCraft models allowed vertices: without knowing whether neutrinos couple to the Higgs field (or gain mass via an alternative mechanism), the software cannot safely include Higgs–neutrino interactions in its Standard Model vertex validation.

References

In FeynCraft we neglect the tiny masses of the neutrinos and thus have no coupling between the Higgs and the neutrino (although experimentally we know that at least some of the neutrinos have masses (see e.g.), the mechanism by which neutrinos acquire mass is unknown, so we refrain from including these Higgs-neutrino couplings).

FeynCraft: A Game of Feynman Diagrams (2510.14082 - Gaunt et al., 15 Oct 2025) in Section 4.1 (Validation — Interaction Validation), discussion of Higgs-related checks