We propose a gauge singlet scalar with mass around $1-10$ TeV as a thermal heavy dark matter candidate along with a dilaton as a Higgs portal mediator in a dimensionless scalar extension of the Standard Model. We demonstrate analytically that such a model gives rise to very strong first-order electroweak phase tyransition through supercooling. We calculate the corresponding gravitational wave signals due to bubble collisions during the phase transition. The produced gravitational waves can be detected by future space-based gravitational wave detectors in the frequency range from 10⁻⁴ Hz to $0.1$ Hz.
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Parsa Ghorbani (2024) studied this question.
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