# Early Universe Higgs dynamics in the presence of the Higgs-inflaton and non-minimal Higgs-gravity couplings

## TL;DR

This paper investigates how Higgs-inflaton and non-minimal Higgs-gravity couplings influence Higgs field stability during the early universe, revealing that certain combinations can ensure stability through inflation and preheating phases.

## Contribution

It analyzes the combined effects of Higgs-inflaton and non-minimal Higgs-gravity couplings on Higgs stability, a novel approach in early universe cosmology.

## Key findings

- Effective Higgs mass is induced by these couplings during inflation.
- Certain coupling combinations stabilize the Higgs field during preheating.
- A wider parameter space for stability is identified.

## Abstract

Apparent metastability of the electroweak vacuum poses a number of cosmological questions. These concern evolution of the Higgs field to the current vacuum, and its stability during and after inflation. Higgs-inflaton and non-minimal Higgs-gravity interactions can make a crucial impact on these considerations potentially solving the problems. In this work, we allow for these couplings to be present simultaneously and study their interplay. We find that different combinations of the Higgs-inflaton and non-minimal Higgs-gravity couplings induce effective Higgs mass during and after inflation. This crucially affects the Higgs stability considerations during preheating. In particular, a wide range of the couplings leading to stable solutions becomes allowed.