Supersymmetric inflation with constraints on superheavy neutrino masses

We consider a supersymmetric model of inflation in which the primordial density fluctuations are nearly scale invariant (spectral index n≈0.98) with an amplitude proportional to (M/MPlanck)², where M~10¹⁶ GeV denotes the scale of the gauge symmetry breaking associated with inflation. The 60 or so e foldings take place when all relevant scales are close to M, which helps suppress supergravity corrections. The gravitino and baryogenesis (via leptogenesis) constraints help determine the two heaviest right-handed neutrino masses to be ≈2×10¹³ GeV and 6×10⁹ GeV.