# Gravitational Wave Signals of Pseudo-Goldstone Dark Matter in the $\mathbb{Z}_{3}$ Complex Singlet Model

## TL;DR

This paper explores pseudo-Goldstone dark matter within a $ ext{Z}_3$ complex singlet model, highlighting its potential for detectable gravitational wave signals from early universe phase transitions.

## Contribution

It introduces a $ ext{Z}_3$ scalar singlet model where cubic couplings enable first-order phase transitions, leading to observable gravitational waves, unlike previous parity-stabilized models.

## Key findings

- Dark matter mass range is broad due to suppressed direct detection signals.
- First-order phase transitions are possible in the $ ext{Z}_3$ model.
- Potential gravitational wave signals could be observed by future space-based detectors.

## Abstract

We study pseudo-Goldstone dark matter in the $\mathbb{Z}_{3}$ complex scalar singlet model. Because the direct detection spin-independent cross section is suppressed, such dark matter is allowed in a large mass range. Unlike in the original model stabilized by a parity, due to the cubic coupling of the singlet the $\mathbb{Z}_{3}$ model can accommodate first-order phase transitions that give rise to a stochastic gravitational wave signal potentially observable in future space-based detectors.