Neutrino Mixing and Leptogenesis in a $L_e-L_{\mu }-L_{\tau }$ model

Abstract

We present a simple extension of the Standard Model with three right-handed neutrinos in a SUSY framework, with an additional U(1${)}_{\text{F}}$ abelian flavor symmetry with a non standard leptonic charge $L_e-L_{\mu }-L_{\tau }$ for lepton doublets and arbitrary right-handed charges. We show that the model is able to reproduce the experimental values of the mixing angles of the PMNS matrix and of the $r=\Delta m_{\text{sun}}^2/\Delta m_{\text{atm}}^2$ ratio, with only a moderate fine tuning of the Lagrangian free parameters. The baryon asymmetry of the Universe is generated via thermal leptogenesis through CP-violating decays of the heavy right-handed neutrinos. We present a detailed numerical solution of the relevant Boltzmann equation accounting for the impact of the distribution of the asymmetry in the various lepton flavors.

Comments: 21 pages, 2 figures