Implications of $A_4$ modular symmetry on Neutrino mass, Mixing and Leptogenesis with Linear Seesaw

Abstract

The present work is inspired by the application of $A_4$ modular symmetry in the linear seesaw framework, which restricts the use of multiple flavon fields. Linear seesaw is realized with six heavy $SU(2{)}_L$ singlet fermion superfields and a weighton in a supersymmetric framework. The non-trivial transformation of Yukawa couplings under the $A_4$ modular symmetry helps to explore the neutrino phenomenology with a specific flavor structure of the mass matrix. We discuss the phenomena of neutrino mixing and show that the obtained mixing angles and CP violating phase in this framework are compatible with the observed $3\sigma$ range of the current oscillation data. In addition, we also investigate the non-zero CP asymmetry from the decay of lightest heavy fermion superfield to explain the preferred phenomena of baryogenesis through leptogenesis including flavor effects.

29 pages, 8 figures, version to appear in Physics of the Dark Universe

Cited by in corpus (7)

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• Flavor mixing and CP violation from the interplay of $S_4$ modular group and gCP
• Two A4 modular symmetries for Tri-Maximal 2 mixing
• Lepton mass matrix from double covering of $A_4$ modular flavor symmetry
• Muon $g-2$, dark matter, and neutrino mass explanations in a modular $A_4$ symmetry