Super hilltop inflation

In this paper, we consider logarithmic radiative corrections and higher order terms to the supersymmetric hilltop F- and D-term hybrid inflation models. Conventional F- and D-term hybrid inflation only predicts n s ⪆0.98. We show that via a positive quadratic and a negative quartic correction the spectral index can be reduced to n s = 0.96 suggested from latest WMAP result and also cosmic string problem appeared in SUSY hybrid inflation can be solved with mild tuning of the parameters if κ⪅0.01 for F-term inflation and g ⪅0.05 for D-term inflation.