  In their minimal form both supersymmetric and smooth hybrid inflation yield a
scalar spectral index n_s close to 0.98, to be contrasted with the result
n_s=0.951+0.015-0.019 from WMAP3. To realize better agreement, following
hep-ph/0604198, we extend the parameter space of these models by employing a
non-minimal Kaehler potential. We also discuss non-thermal leptogenesis by
inflaton decay and obtain new bounds in these models on the reheat temperature
to explain the observed baryon asymmetry.
