In this work we discuss two different phases of a complex singlet extension of the Standard Model (SM) together with an extension that also includes new fermion fields. All models allow for a strong first-order electroweak phase transition and the detection of primordial gravitational waves (GWs) in planned experiments such as LISA is shown to be possible in one of the phases of the singlet extension and also in the model with extra fermions. In the singlet extension with no additional fermions, the detection of GWs strongly depends on the phase of the Higgs potential at zero temperature. We study for the first time the impact of the precision in the determination of the SM parameters on the strength of the GWs spectrum. It turns out that the variation of the SM parameters such as the Higgs mass and top quark Yukawa coupling in their allowed experimental ranges has a notable impact on GWs detectability prospects.
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