# Electroweak Vacuum Metastability and Low-scale Inflation

## TL;DR

This paper investigates the stability of the electroweak vacuum during low-scale inflation, analyzing how inflaton-Higgs couplings affect vacuum decay and deriving constraints to prevent catastrophic instability.

## Contribution

It provides a detailed analysis of inflaton-Higgs couplings' effects on electroweak vacuum stability in low-scale inflation models, including new constraints to avoid decay.

## Key findings

- Constraints on inflaton-Higgs couplings to prevent vacuum decay
- Resonant production of Higgs particles analyzed during inflation
- Conditions ensuring electroweak vacuum stability in low-scale inflation

## Abstract

We study the stability of the electroweak vacuum in low-scale inflation models whose Hubble parameter is much smaller than the instability scale of the Higgs potential. In general, couplings between the inflaton and Higgs are present, and hence we study effects of these couplings during and after inflation. We derive constraints on the couplings between the inflaton and Higgs by requiring that they do not lead to catastrophic electroweak vacuum decay, in particular, via resonant production of the Higgs particles.