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 $3 σ$ values of the mixing angle $θ_{23}$. Also, there is a clear linear relation between the mixing angles $θ_{12}$ and $θ_{23}$ found in the allowed $3 σ$ 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: $μ\longrightarrow e γ$, $τ\longrightarrow e γ$, and $τ\longrightarrow μγ$. 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.