Super Hilltop Inflation

TL;DR

This paper enhances supersymmetric hilltop hybrid inflation models by incorporating radiative corrections and higher order terms, successfully aligning the spectral index with observational data and addressing cosmic string issues.

Contribution

It introduces specific corrections to F- and D-term hybrid inflation models, enabling the spectral index to match WMAP observations and mitigating cosmic string problems.

Findings

Spectral index reduced to n_s=0.96 with corrections.

Cosmic string problem alleviated with mild parameter tuning.

Models compatible with latest observational constraints.

Abstract

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 $n_s \gae 0.98$. 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 $\kappa \lae 0.01$ for F-term inflation and $g \lae 0.05$ for D-term inflation.