On Higgs inflation in non-minimally coupled models of gravity

TL;DR

This paper explores Higgs inflation models with non-minimal coupling to gravity, demonstrating that modifications to the kinetic term can simplify the inflaton potential while maintaining desirable theoretical and experimental features.

Contribution

It introduces a kinetic term modification that yields a simple inflaton potential without approximations in non-minimally coupled Higgs inflation models.

Findings

Modified kinetic term simplifies the inflaton potential

Models retain desired theoretical properties

Potential matches experimental constraints

Abstract

Models of inflation in which the Higgs field is non-minimally coupled to gravity lead, after a recaling of the metric, to a complicated expression for the potential of the inflaton field. Nevertheless, this potential produces the desired features, both theoretical and experimental, after some approximations are made. In this note, we also allow for a modification of the Higgs kinetic term in such a way that the resulting potential for the inflaton field is, without any approximation, of the simplest form after the rescaling of the metric.