PREPRINT

Generalized Hilltop Inflation

Helena Grete Lillepalu and Antonio Racioppi

Submitted on 4 November 2022

Abstract

We study a generalized version of hilltop inflation where the standard hilltop potential has been raised to a power and we allow fractional numbers for both the original hilltop power and the overall exponent. In the parameter space studied, the latter plays the major role in finding an agreement with the latest experimental constraint. Finally, we also find that the two characteristic mass scales of the inflaton potential differ by several orders of magnitude, indicating that a common fundamental origin is quite unlikely.

Preprint

Comment: 14 pages, 5 figures

Subjects: Astrophysics - Cosmology and Nongalactic Astrophysics; General Relativity and Quantum Cosmology; High Energy Physics - Phenomenology

URL: http://arxiv.org/abs/2211.02426

Indicative plot for $V(\phi)_\text{HI}$ vs. $\phi$. The continuous line represents $V(\phi)_\text{HI}$ during inflation, the dot represents the end of inflation and the dashed line represents $V(\phi)_\text{HI}$ after the end of inflation, where the hilltop expansion of the potential loses its validity.