Neutrino Model in Left-Right Symmetric Linear Seesaw Augmented with $A_4$ Modular Group

TL;DR

This paper integrates $A_4$ modular symmetry into a left-right symmetric linear seesaw model, enhancing predictability and aligning neutrino data with current oscillation measurements, while exploring implications for lepton flavor violation and baryon asymmetry.

Contribution

It introduces a novel application of $A_4$ modular symmetry in a left-right symmetric linear seesaw framework, reducing flavon field proliferation and improving model predictability.

Findings

Model predictions are consistent with 3σ neutrino oscillation data.

Studied non-unitarity and lepton flavor violation effects.

Explored lepton asymmetry evolution related to baryon asymmetry.

Abstract

In this work, we have implemented $A_4$ modular symmetry in the left-right symmetric linear seesaw model. Interestingly, such modular symmetry restricts the proliferation of flavon fields, and as a result, the predictibility of the model is enhanced. The fermion sector of the model comprises of quarks, leptons and a sterile fermion in each generation, while the scalar sector consists of Higgs doublets and bidoublets. We investigate numerically various Yukawa coupling co-efficients, the neutrino masses and mixing parameters in our intended model and predictions become consistent with $3\sigma$ range of current neutrino oscillation data. We also studied the non-unitarity, effects on lepton flavor violation in our model and evolution of lepton asymmetry to explain the current baryon asymmetry of the universe.