Matter-antimatter asymmetry in minimal inverse seesaw framework with $A_4$ modular symmetry

TL;DR

This paper introduces a minimal inverse seesaw model with $A_4$ modular symmetry to explain neutrino oscillations and matter-antimatter asymmetry, analyzing experimental constraints and leptogenesis mechanisms.

Contribution

It presents a novel inverse seesaw framework with $A_4$ modular symmetry, linking neutrino oscillation data with leptogenesis and lepton flavor violation constraints.

Findings

Excludes some $3 \sigma$ values of $ heta_{23}$.

Finds a linear relation between $ heta_{12}$ and $ heta_{23}$.

Analyzes the impact of $Z'$ mediated processes on leptogenesis.

Abstract

We propose a minimal inverse seesaw framework based on $A_4$ modular symmetry. We have studied the neutrino oscillation parameters in our work and our model excludes some $3 \sigma$ values of the mixing angle $\theta_{23}$. Also, there is a clear linear relation between the mixing angles $\theta_{12}$ and $\theta_{23}$ found in the allowed $3 \sigma$ region. We also examine whether the parameter points consistent with neutrino oscillation data simultaneously comply with the experimental limits on lepton flavor violating (LFV) decays, specifically: $\mu \longrightarrow e \gamma$, $\tau \longrightarrow e \gamma$, and $\tau \longrightarrow \mu \gamma$. We have also investigated the matter-antimatter asymmetry of our universe via the resonant leptogenesis mechanism. Here, we present the contribution of lepton number conserving scattering processes mediated by the $ Z' $ boson in the context of leptogenesis.