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

TL;DR

This paper investigates leptogenesis within supersymmetric $SO(10)$ models with $A_4$ modular symmetry, analyzing neutrino mass generation, lepton asymmetry evolution, and compatibility with observed fermion and baryon asymmetries.

Contribution

It introduces two renormalizable $SO(10) imes A_4$ modular models with detailed leptogenesis predictions and analytical approximations for the evolution of lepton asymmetries.

Findings

Identifies parameter regions consistent with fermion masses and baryon asymmetry.

Predicts light neutrino masses and neutrinoless double beta decay effective mass.

Discusses leptonic CP violation phases.

Abstract

We study the prediction for leptogenesis in two renormalizable supersymmetric $SO(10)\times A_4$ 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.