Leptogenesis in $SO(10)$ Models with $A_4$ Modular Symmetry

Abstract

We study the prediction for leptogenesis in two renormalizable supersymmetric SO(10) × A 4 modular models in which the neutrino mass is dominantly generated by the type I seesaw mechanism. The evolution of the lepton asymmetries are described in terms of the three-flavored density matrix equations for three heavy Majorana neutrinos, where both vanishing initial condition and thermal initial condition of the right-handed neutrinos are considered. We also present an analytical approximation based on the Boltzmann equations. We find regions of parameter space compatible with the measured fermion masses and mixing parameters as well as the baryon asymmetry of the Universe. The predictions for the light neutrino masses, the effective mass in neutrinoless doble beta decay and the leptonic CP violation phases are discussed.

Soft supersymmetry breaking terms and lepton flavor violations in modular flavor models

“…On the other hand, the quark mass matrix has been also studied in the Γ symmetries [125,126]. Hence, the unification of quarks and leptons has been applied in the framework of the SU (5) or SO (10) GUT [112,[127][128][129][130][131][132][133].…”