# Cosmological stochastic Higgs stabilization

## TL;DR

This paper demonstrates that stochastic dynamics during inflation can increase the likelihood of the Higgs field stabilizing at the electroweak vacuum, with implications for dark matter and stability against resonance effects.

## Contribution

It introduces a model where Higgs and spectator scalar fields' stochastic evolution enhances vacuum stability and explores the spectator as a dark matter candidate.

## Key findings

- Enhanced probability of Higgs vacuum stabilization during inflation.
- Parametric resonance can be avoided in a wide parameter space.
- Spectator field potentially acts as dark matter.

## Abstract

We show that the stochastic evolution of an interacting system of the Higgs and a spectator scalar field naturally gives rise to an enhanced probability of settling down at the electroweak vacuum at the end of inflation. Subsequent destabilization due to parametric resonance between the Higgs and the spectator field can be avoided in a wide parameter range. We further argue that the spectator field can play the role of dark matter.