Squared Quartic Hilltop Inflation

TL;DR

This paper introduces a corrected Quartic Hilltop inflation model with stabilising terms, deriving analytical predictions consistent with Planck 2018 data, and explores reheating constraints to refine inflationary parameters.

Contribution

The paper proposes a correction to the Quartic Hilltop inflation model, emphasizing the importance of stabilising terms and providing analytical predictions aligned with observational bounds.

Findings

Predictions for spectral index and tensor-scalar ratio within Planck 2018 bounds

Reheating temperature constraints refine inflationary parameter space

Correction terms are crucial for the physical viability of Hilltop inflation models

Abstract

A correction to the Quartic Hilltop inflationary model is proposed to account for stabilising terms in the potential. We derive analytical predictions for the spectral index $n_s$ and tensor-scalar ratio $r$ which lie within the Planck 2018 survey bounds. The reheating predictions of the corrected model are investigated and by considering the reheating temperature we further constrain the $(n_s,r)$ parameter space. It is shown that the correction terms are physically important during inflation and generally need to be accounted for when considering Hilltop models as a candidate for inflation.