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arXiv · 2505.14878

Radiative neutrino mass models from non-invertible selection rules

Tatsuo Kobayashi·Hiroshi Okada·Hajime Otsuka
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Abstract

We apply non-invertible selection rules coming from a fusion algebra to radiative neutrino mass models where fields are labeled by the elements in the algebra. Since non-invertible selection rules only hold at tree level, radiative corrections naturally explain the origin of tiny neutrino masses. Furthermore, a remnant symmetry of the fusion algebra protects the stability of dark matter, which is conventionally imposed in radiative neutrino models. We also find that interesting neutrino mass textures are realized by assigning fields to family-dependent elements in the algebra.

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Tatsuo Kobayashi, Hiroshi Okada, Hajime Otsuka. 2025-05-20. Radiative neutrino mass models from non-invertible selection rules. https://doi.org/10.1007/jhep12(2025)111

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