Leptogenesis in minimal left–right symmetric models

Abstract

We analyze lepton asymmetry induced in the decay of right-handed neutrinos in a class of minimal left–right symmetric models. In these models, which assume low energy supersymmetry, the Dirac neutrino mass matrix is proportional to the charged lepton mass matrix. As a result, lepton asymmetry is calculable in terms of 9 parameters, all measurable in low energy neutrino experiments. By solving the Boltzmann equations numerically we show that adequate baryon asymmetry is generated in these models. This however places significant constraints on the light neutrino parameters. We find tan 2 θ 12 ≃ m 1 / m 2 and θ 13 = ( 0.01 – 0.07 ) for the neutrino oscillation angles, and β ≃ α + π / 2 for the Majorana phases.