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 and 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.

• Received 7 August 2019
• Accepted 14 January 2020

DOI:https://doi.org/10.1103/PhysRevD.101.035001

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Published by the American Physical Society