Universal two-zero textures in SO(10) remain compatible with JUNO-era flavor data, prefer normal ordering, predict meV-scale mββ, and arise from Z3-gauged Z7 non-invertible selection rules.
Flavor Symmetries in an SU(5) Model of Grand Unification
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abstract
We investigate the options for imposing flavor symmetries on a minimal renormalizable non-supersymmetric $\mathrm{SU}(5)$ grand unified theory, without introducing additional flavor-related fields. Such symmetries reduce the number of free parameters in the model and therefore lead to more predictive models. We consider the Yukawa sector of the Lagrangian, and search for all possible flavor symmetries. As a result, we find 25 distinct realistic flavor symmetry cases, with $\mathbb{Z}_2$, $\mathbb{Z}_3$, $\mathbb{Z}_4$, and $\mathrm{U}(1)$ symmetries, and no non-Abelian cases.
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Universal two-zero texture in SO(10): implications of JUNO and realization from non-invertible symmetries
Universal two-zero textures in SO(10) remain compatible with JUNO-era flavor data, prefer normal ordering, predict meV-scale mββ, and arise from Z3-gauged Z7 non-invertible selection rules.