Higgs inflation and quantum gravity: An exact renormalisation group approach

TL;DR

This paper employs the Wilsonian functional Renormalisation Group to analyze quantum gravitational effects on Higgs inflation, demonstrating suppression of loop effects during inflation and exploring implications for Asymptotic Safety.

Contribution

It provides an exact RG analysis of quantum corrections in Higgs inflation including gravitons, highlighting suppression mechanisms and potential embedding in Asymptotic Safety.

Findings

Quantum gravitational corrections to Higgs couplings are suppressed during inflation.

A bound on the infrared RG cut-off scale during inflation is established.

Discussion on embedding Higgs inflation within Asymptotic Safety scenario.

Abstract

We use the Wilsonian functional Renormalisation Group (RG) to study quantum corrections for the Higgs inflationary action including the effect of gravitons, and analyse the leading-order quantum gravitational corrections to the Higgs' quartic coupling, as well as its non-minimal coupling to gravity and Newton's constant, at the inflationary regime and beyond. We explain how within this framework the effect of Higgs and graviton loops can be sufficiently suppressed during inflation, and we also place a bound on the corresponding value of the infrared RG cut-off scale during inflation. Finally, we briefly discuss the potential embedding of the model within the scenario of Asymptotic Safety, while all main equations are explicitly presented.