# Higgs Vacuum Decay in a Braneworld

## TL;DR

This paper investigates how large extra dimensions in the Randall-Sundrum braneworld affect vacuum decay, providing numerical solutions for bubble formation and analyzing the influence of extra dimensions on tunneling rates.

## Contribution

It presents the first full numerical solutions for brane instantons considering different scalar potentials and explores the impact of extra dimensions on vacuum decay rates in the RS model.

## Key findings

- Extra dimensions significantly affect tunneling rates for bubbles with large backreaction.
- For weakly backreacting bubbles, the extra dimension has minimal impact.
- Numerical solutions for brane instantons with various potentials are provided.

## Abstract

We examine the effect of large extra dimensions on vacuum decay in the Randall-Sundrum (RS) braneworld paradigm. We assume the scalar field is confined to the brane, and compute the probability for forming an "anti de Sitter" (AdS) bubble inside a critical flat RS brane. We present the first full numerical solutions for the brane instanton considering two test potentials for the scalar field. We explore the geometrical impact of thin and thick bubble walls, and compute the instanton action in a range of cases. We conclude by commenting on a more physically realistic potential relevant for the standard model Higgs. For bubbles with large backreaction, the extra dimension has a dramatic effect on the tunnelling rate, however, for the weakly backreacting bubbles more relevant for realistic Standard Model potentials, the extra dimension has little impact.