Unflavored Leptogenesis and Neutrino Masses in Flavored SUSY SU(5) model

Abstract

We propose a model with $D_4$ flavor symmetry for leptogenesis in the framework of supersymmetric $SU(5)$ grand unified theory. Neutrino masses arise from the type I seesaw mechanism where the spontaneous symmetry breaking of the flavor symmetry leads to the well-known trimaximal mixing ($TM_2$). We find that this model predicts the normal hierarchy (NH) for neutrino masses. We also find that the predicted range of the effective neutrino mass $m_{\beta\beta}$ can be tested at future neutrinoless double beta decay experiments. For the generation of the baryon asymmetry of the Universe (BAU), we consider the unflavored leptogenesis regime and we take into account the decay of the three righ-handed neutrinos $N_i$. We conclude that the BAU originates from a correction to the Dirac operator giving rise to a new coupling and a $CP$ phase which both play an important role in generating the observed BAU.