Non-minimal (self-)running inflation: metric vs. Palatini formulation

TL;DR

This paper compares metric and Palatini formulations of non-minimal quartic inflation, analyzing radiative corrections and renormalization choices, and assesses compatibility with Planck data.

Contribution

It provides a comparative analysis of inflation models under different gravity formulations and renormalization schemes, highlighting their observational implications.

Findings

Different formulations yield distinct inflationary predictions.

Radiative corrections significantly influence the inflation potential.

Some models remain compatible with Planck data.

Abstract

We consider a model of quartic inflation where the inflaton is coupled non-minimally to gravity and the self-induced radiative corrections to its effective potential are dominant. We perform a comparative analysis considering two different formulations of gravity, metric or Palatini, and two different choices for the renormalization scale, widely known as prescription I and II. Moreover we comment on the eventual compatibility of the results with the final data release of the Planck mission.