Type-II seesaw of a non-holomorphic modular $A_4$ symmetry

TL;DR

This paper explores a non-holomorphic modular $A_4$ symmetry in a type-II seesaw model to predict lepton masses and mixing, identifying models consistent with neutrino oscillation and cosmological bounds.

Contribution

It introduces three minimal predictive models with different modular weight assignments that satisfy current neutrino data within a non-holomorphic modular symmetry framework.

Findings

One model satisfies the cosmological neutrino mass bound.

All models are compatible with neutrino oscillation data.

The models help discriminate between different modular weight assignments.

Abstract

We search for predictability of lepton masses and mixing patterns of type-II seesaw scenario in a non-holomorphic modular $A_4$ symmetry recently proposed by Qu and Ding. We propose three types of minimum predictive models with different assignments of modular weight, satisfying the neutrino oscillation data in Nufit 5.2. The cosmological bound on the sum of neutrino mass is stringent to our models and CMB bound $\sum D_\nu\le0.12$ eV can be satisfied by one of three models playing an important role in discriminating them.