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We consider gravitational wave signals produced by a first-order phasetransition in a theory with a generic renormalizable thermal effectivepotential of power law form. We find the frequency and amplitude of thegravitational wave signal can be related in a straightforward manner to theparameters of the thermal effective potential. This leads to a generalconclusion; if the mass of the dark Higgs is less than 1% of the dark Higgsvacuum expectation value, then the gravitational wave signal will beunobservable at all upcoming and planned gravitational wave observatories.

Sensitivity to Dark Sector Scales from Gravitational Wave Signatures