On Higgs inflation in non-minimally coupled models of gravity

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.

11 pages

References in corpus (7)

• The Standard Model Higgs boson as the inflaton
• Inflationary Cosmology
• The Unity of Cosmological Attractors
• Scale invariance, unimodular gravity and dark energy
• Planck, LHC, and $\alpha$-attractors
• Some like it hot: $R^2$ heals Higgs inflation, but does not cool it
• The Higgs field and early universe cosmology: a (brief) review