# Ultraviolet behaviour of Higgs inflation models

Abstract : We study the ultraviolet behaviour of Higgs inflation models above the apparent unitarity violation scale arising from the large non minimal coupling to gravity, by computing on-shell 4-point scattering amplitudes in the presence of a large inflaton background, away from the electroweak vacuum. We find that all tree-level amplitudes are well behaved at high energies below the inflaton background that can thus take values up to the Planck scale. This result holds in both the metric and Palatini formulation, and is independent of the frame (Jordan or Einstein) as expected. The same result also holds if an $R^2$ term is added to the action.
Keywords :
Document type :
Preprints, Working Papers, ...
Domain :

https://hal.archives-ouvertes.fr/hal-03274124
Contributor : Inspire Hep <>
Submitted on : Tuesday, June 29, 2021 - 6:05:21 PM
Last modification on : Tuesday, July 20, 2021 - 6:48:21 PM

### Citation

Ignatios Antoniadis, Anthony Guillen, Kyriakos Tamvakis. Ultraviolet behaviour of Higgs inflation models. 2021. ⟨hal-03274124⟩

Record views