Type II seesaw models with modular $A_4$ symmetry

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.

33pages, 16 figures, new figures added, some figures replaced and major revision in text to the reflect changes

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• Fermion Masses and Mixing from Double Cover and Metaplectic Cover of $A_5$ Modular Group
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• Half-integral weight modular forms and application to neutrino mass models
• $SU(5)$ GUTs with $A_4$ modular symmetry
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• Classification of discrete modular symmetries in Type IIB flux vacua
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• Modular $S_4\times SU(5)$ GUT
• $A_4$ Modular Flavour Model of Quark Mass Hierarchies close to the Fixed Point $\tau =\omega$
• Modular symmetry at level 6 and a new route towards finite modular groups
• Modular symmetry in the SMEFT
• Broken Scaling Neutrino Mass Matrix and Leptogenesis based on A${}_4$ Modular invariance
• Quark and lepton hierarchies from $S_4^{\prime }$ modular flavor symmetry
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• Modulus $\tau$ linking leptonic CP violation to baryon asymmetry in $A_4$ modular invariant flavor model
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• Leptogenesis in $SO(10)$ Models with $A_4$ Modular Symmetry
• Flavor mixing and CP violation from the interplay of $S_4$ modular group and gCP
• Explicit Perturbations to the Stabilizer $\tau =\mathrm{i}$ of Modular $A_5^{\prime }$ Symmetry and Leptonic CP Violation
• Neutrino phenomenology, W mass anomaly & muon $(g-2)$ in minimal type-III seesaw using $T^{\prime }$ modular symmetry
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• Flavor Structures of Quarks and Leptons from Flipped SU(5) GUT with $A_4$ Modular Flavor Symmetry
• Electron EDM arising from modulus $\tau$ in the supersymmetric modular invariant flavor models
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• Soft supersymmetry breaking terms and lepton flavor violations in modular flavor models
• 4D modular flavor symmetric models inspired by higher dimensional theory
• Lepton mass matrix from double covering of $A_4$ modular flavor symmetry
• Neutrino Mass Sum Rules from Modular ${\mathcal{A}}_4$ Symmetry
• Moduli trapping mechanism in modular flavor symmetric models
• Linear seesaw model with a modular $S_4$ flavor symmetry
• Neutrino masses and mixing in Minimal Inverse Seesaw using $A_4$ modular symmetry
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• Muon $g-2$, dark matter, and neutrino mass explanations in a modular $A_4$ symmetry
• $SO(10)$ models with $A_4$ modular symmetry
• Quark and lepton flavor model with leptoquarks in a modular $A_4$ symmetry
• Modular Flavour Symmetries and Modulus Stabilisation
• New Physics Hints from Flavour
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• Yukawa textures in modular symmetric vacuum of magnetized orbifold models