# Electroweak vacuum stability in the Higgs-Dilaton theory

## TL;DR

This paper investigates the stability of the Electroweak vacuum in a scale-invariant Higgs-Dilaton model, finding that its decay rate is suppressed compared to the Standard Model, ensuring phenomenological viability.

## Contribution

It provides a detailed analysis of vacuum stability in the Higgs-Dilaton theory, highlighting conditions under which the vacuum remains stable or metastable.

## Key findings

- Decay rate of the EW vacuum is significantly suppressed.
- The tunneling solution has unique properties in the Higgs-Dilaton context.
- The model remains phenomenologically acceptable within a broad parameter range.

## Abstract

We study the stability of the Electroweak (EW) vacuum in a scale-invariant extension of the Standard Model and General Relativity, known as a Higgs-Dilaton theory. The safety of the EW vacuum against possible transition towards another vacuum is a necessary condition for the model to be phenomenologically acceptable. We find that, within a wide range of parameters of the theory, the decay rate is significantly suppressed compared to that of the Standard Model. We also discuss properties of a tunneling solution that are specific to the Higgs-Dilaton theory.