Linear seesaw in $A^\prime_5$ modular symmetry with Leptogenesis

TL;DR

This paper explores how modular $A'_5$ symmetry influences neutrino masses and mixing in a linear seesaw model, successfully fitting oscillation data and explaining baryon asymmetry via leptogenesis.

Contribution

It introduces a modular symmetry-based linear seesaw model with reduced flavon dependence, incorporating heavy fermions and weightons, and demonstrates compatibility with neutrino data and leptogenesis.

Findings

Model fits all neutrino oscillation data.

CP asymmetry from heavy fermion decay explains baryon asymmetry.

Uses Dedekind eta functions for Yukawa coupling calculations.

Abstract

In this paper, we investigate the implication of modular $\Gamma^{\prime}_5 \simeq A^{\prime}_5$ symmetry on neutrino oscillation phenomenology in the linear seesaw framework. In order to achieve the well defined mass structure for the light active neutrinos as dictated by the linear seesaw mechanism, we introduce six heavy fermion fields along with a pair of weightons to retain the holomorphic nature of the superpotential. The notable feature of modular symmetry is that, it reduces the usage of flavon fields significantly. In addition, the Yukawa couplings transform non-trivially under the flavor symmetry group and expressed in terms of the Dedekind eta functions, the $q$ expansion of which renders numerical simplicity in calculations. We demonstrate that the model framework diligently accommodates all the neutrino oscillation data. Alongside, we also investigate the effect of CP asymmetry generated from the decay of lightest heavy fermions to explain the observed baryon asymmetry through the phenomenon of leptogenesis.