A two-modular-S4 flavour model predicts TM1 lepton mixing and a new mass sum rule that keeps the lightest neutrino mass above roughly 0.025 eV.
Flavored Orbifold GUT - an SO(10) x S4 model
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abstract
Orbifold grand unified theories (GUTs) solve several problems in GUT model building. Therefore, it is intriguing to investigate similar constructions in the flavor context. In this paper, we propose that a flavor symmetry might emerge due to orbifold compactification of one orbifold and broken by boundary conditions of another orbifold. The combination of the orbifold parities in gauge and flavor space determines the zero modes. We demonstrate the construction in a supersymmetric (SUSY) SO(10) x S_4 orbifold GUT model, which predicts the tribimaximal mixing at leading order in the lepton sector as well as the Cabibbo angle in the quark sector.
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2019 1verdicts
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Trimaximal TM$_1$ mixing with two modular $S_4$ groups
A two-modular-S4 flavour model predicts TM1 lepton mixing and a new mass sum rule that keeps the lightest neutrino mass above roughly 0.025 eV.