GUT Scale Inflation, Non-Thermal Leptogenesis, and Atmospheric Neutrino Oscillations
Abstract
Leptogenesis scenarios in supersymmetric hybrid inflation models are considered. Sufficient lepton asymmetry leading to successful baryogenesis can be obtained if the reheat temperature Tr>106 GeV and the superpotential coupling parameter kappa is in the range 10-6<kappa<10-2. For this range of kappa the scalar spectral index ns=0.99+-0.01. Constraints from neutrino mixing further restrict the range of kappa 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.
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