Neutrino mixing and leptogenesis in a $$L_e-L_\mu -L_\tau $$ L e - L μ - L τ model

Abstract We present a simple extension of the Standard Model with three right-handed neutrinos in a SUSY framework, with an additional $$\hbox {U}(1)_\text {F}$$ U ( 1 ) F abelian flavor symmetry with a non standard leptonic charge $$L_e-L_\mu -L_\tau $$ L e - L μ - L τ for lepton doublets and arbitrary right-handed charges. Our model predicts an inverted neutrino mass hierarchy and it is able to reproduce the experimental values of the mixing angles of the PMNS matrix and of the $$r=\Delta m_\text {sun}^2/\Delta m_\text {atm}^2$$ r = Δ m sun 2 / Δ m 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.