Supersymmetric inflation, baryogenesis and νμ−ντ oscillations

We propose a supersymmetric model with a left-right symmetric gauge group where hybrid inflation,baryogenesis and neutrino oscillations are closely linked. This scheme, supplemented by a familiar ansatz for the neutrino Dirac masses and mixing of the two heaviest families and with the MSW resolution of the solar neutrino puzzle, implies that 1 eV≲mντ≲9 eV. The mixing angle θμτ is predicted to lie in a relatively narrow range which will be partially tested by the Chorus/Nomad experiment. Restrictions on the CP violating phase δμτ are also derived.