$$A_4$$ A4 realization of linear seesaw and neutrino phenomenology

Abstract

Abstract Motivated by the crucial role played by the discrete flavor symmetry groups in explaining the observed neutrino oscillation data, we consider the $$A_4$$ A4 realization of linear seesaw by extending the standard model (SM) particle content with two types of right-handed (RH) neutrinos along with the flavon fields, and the SM symmetry with $$A_4\times Z_4\times Z_3$$ A4×Z4×Z3 and a global symmetry $$U(1)_X$$ U(1)X , which is broken explicitly by the Higgs potential. We scrutinize this model to see if it can explain the recent results from neutrino oscillation experiments, by searching for parameter space that can accommodate the observables such as the reactor mixing angle $$\theta _{13}$$ θ13 , the CP violating phase $$\delta _\text {CP}$$ δCP , sum of active neutrino masses $$\Sigma _{i} m_i$$ Σimi , solar and atmospheric mass-squared differences, and the lepton number violating parameter called the effective Majorana mass parameter, in line with recent experimental results. We also discuss the scope of this model to explain the baryon asymmetry of the Universe through leptogenesis. We also investigate the possibility of probing the non-unitarity effect in this scenario, but it is found to be rather small.