# On the robustness of the primordial power spectrum in renormalized Higgs inflation

## TL;DR

This paper investigates how higher-dimensional operators affect the primordial power spectrum in Higgs inflation, finding that the spectrum is robust in the universal regime but can be significantly altered near a quasi-inflection point.

## Contribution

It provides a detailed analysis of the impact of higher-dimensional operators on Higgs inflation, especially near critical points, highlighting their role in inflationary predictions.

## Key findings

- Primordial spectrum is insensitive to radiative corrections in the universal regime.
- Higher-dimensional operators can modify inflationary observables near a quasi-inflection point.
- Spectrum remains consistent with current cosmological data in most regimes.

## Abstract

We study the cosmological consequences of higher-dimensional operators respecting the asymptotic symmetries of the tree-level Higgs inflation action. The main contribution of these operators to the renormalization group enhanced potential is localized in a compact field range, whose upper limit is close to the end of inflation. The spectrum of primordial fluctuations in the so-called universal regime turns out to be almost insensitive to radiative corrections and in excellent agreement with the present cosmological data. However, higher-dimensional operators can play an important role in critical Higgs inflation scenarios containing a quasi-inflection point along the inflationary trajectory. The interplay of radiative corrections with this quasi-inflection point may translate into a sizable modification of the inflationary observables.