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

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: $\mu ⟶e\gamma$, $\tau ⟶e\gamma$, and $\tau ⟶\mu \gamma$. 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 $Z^{\mathrm{\prime }}$ boson in the context of leptogenesis.