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Type II seesaw models with modular $A_4$ symmetry
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abstract
We discuss type-II seesaw models adopting modular $A_4$ symmetry in supersymmetric framework. In our approach, the models are classified by the assignment of $A_4$ representations and modular weights for leptons and triplet Higgs fields. Then neutrino mass matrix is characterized by modulus $\tau$ and two free parameters. Carrying out numerical analysis, we find allowed parameter sets which can fit the neutrino oscillation data. For the allowed parameter sets, we obtain the predictions in neutrino sector such as CP violating phases and the lightest neutrino mass. Finally we also show the predictions for the branching ratios of doubly charged scalar boson focusing on the case where the doubly charged scalar boson dominantly decays into charged leptons.
Forward citations
Cited by 2 Pith papers
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A Predictive Non-Holomorphic Modular $A_4$ Linear Seesaw Framework Testable at DUNE
A non-holomorphic modular A4 linear seesaw model with six singlet fermions and one flavon reproduces observed neutrino mixing and predicts absolute mass and 0νββ ranges that DUNE and other experiments can test.
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A Non-Holomorphic Modular $A_4$ Framework for Resonant Leptogenesis with Gravitational Wave Signatures
A non-holomorphic modular A4 seesaw model yields quasi-degenerate right-handed neutrinos, enabling resonant leptogenesis at ~10^6 GeV and a double-peaked gravitational-wave signature.
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