标题： 非可逆选择规则的辐射型中微子质量模型 显示英文标题

标题： Radiative neutrino mass models from non-invertible selection rules

摘要： 我们将来自融合代数的非可逆选择规则应用于辐射中微子质量模型，在该模型中场由代数中的元素标记。 由于非可逆选择规则仅在树级成立，辐射修正自然地解释了微小中微子质量的起源。 此外，融合代数的剩余对称性保护了暗物质的稳定性，这在辐射中微子模型中通常是通过约定来施加的。 我们还发现，通过将场分配到代数中依赖于族的元素，可以实现有趣的中微子质量纹理。 显示英文摘要

摘要： 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.