Modular $A_4$ invariance and leptogenesis

Abstract

We consider a model with three right-handed neutrinos in which Yukawa coupling constants and Majorana masses are obtained by requiring the modular $A_4$ symmetry. It has been shown that the model can explain mass hierarchies and mixing patterns of charged leptons and neutrinos with the seesaw mechanism. In this article we investigate the leptogenesis by decays of right-handed neutrinos in this model. It is shown that masses of right-handed neutrinos are about $10^{13}$ GeV in order to account for the observed baryon asymmetry of the universe. Furthermore, the positive sign of the baryon asymmetry is obtained only for the limited ranges of mixing angles and CP violation phases of active neutrinos, which can be tested by future neutrino experiments.

arXiv comment17 pages, 14 figures, matches the published version

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• Flavor mixing and CP violation from the interplay of $S_4$ modular group and gCP
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• Modular Origin of Mass Hierarchy: Froggatt-Nielsen like Mechanism
• 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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• Minimal seesaw and leptogenesis with the smallest modular finite group
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• Two A5 modular symmetries for Golden Ratio 2 mixing
• Modular flavor symmetry and vector-valued modular forms
• Soft supersymmetry breaking terms and lepton flavor violations in modular flavor models
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• Modular flavored dark matter
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