2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/188206In 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.21 pages, 12 figures, revtex4. v2: minor revisions, additional references, to appear in PRDHigh Energy Physics - Phenomenologytext