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Inspired by the recent evidences of nano-Hertz stochastic gravitational wavesobserved by the pulsar timing array collaborations, we explore their impliedsupercooled electroweak phase transition in the singlet extension of theStandard Model. Our findings reveal that by adjusting the model parameter atper milli level, the corresponding percolation temperature can be continuouslylowered to 1 GeV. With such a low percolation temperature, the singlet darkmatter may freeze out before the electroweak phase transition, and,consequently, the entropy generated during the transition can significantlyaffect the dark matter relic density. It alleviates the tension between therequirement of a strong electroweak phase transition and the constraintsimposed by dark matter direct detection, and can be tested in futureexperiments.

Implications of Nano-Hertz Gravitational Waves on Electroweak Phase Transition in the Singlet Dark Matter Model