GUT scale inflation, non-thermal leptogenesis, and atmospheric neutrino oscillations

AbstractLeptogenesis scenarios in supersymmetric hybrid inflation models are considered. Sufficient lepton asymmetry leading to successfull baryogenesis can be obtained if the reheat temperature Tr≳106 GeV and the superpotential coupling parameter κ is in the range 10−6≲κ≲10−2. For this range of κ the scalar spectral index ns≃0.99±0.01. Constraints from neutrino mixing further restrict the range of κ that is allowed. We analyze in detail the case where the inflaton predominantly decays into the next-to-lightest right-handed Majorana neutrino taking into account especially the constraints from atmospheric neutrino oscillations