Non-Minimal Sneutrino Inflation, Peccei-Quinn Phase Transition and
  non-Thermal Leptogenesis
  We consider a phenomenological extension of the minimal supersymmetric
standard model which incorporates non-minimal chaotic inflation, driven by a
quartic potential associated with the lightest right-handed sneutrino.
Inflation is followed by a Peccei-Quinn phase transition based on
renormalizable superpotential terms, which resolves the strong CP and mu
problems of the minimal supersymmetric standard model provided that one related
parameter of the superpotential is somewhat small. Baryogenesis occurs via
non-thermal leptogenesis, which is realized by the inflaton decay. Confronting
our scenario with the current observational data on the inflationary
observables, the baryon assymetry of the universe, the gravitino limit on the
reheating temperature and the upper bound on the light neutrino masses, we
constrain the effective Yukawa coupling involved in the decay of the inflaton
to relatively small values and the inflaton mass to values lower than 10^12
GeV.
