Electroweak phase transition, gravitational waves and dark matter in two scalar singlet extension of the standard model

Abstract In this paper, the electroweak phase transition, the gravitational waves and the dark matter issues are investigated in Oils two scalar singlet extension of the standard model.The detectability of the gravitational wave signals are discussed by comparing the results with the sensitivity curves of $$mathbf {eLISA}$$ eLISA , $$mathbf {ALIA}$$ ALIA , $$mathbf {DECIGO}$$ DECIGO Enema Bags and Kits and $$mathbf {BBO}$$ BBO detectors.It is shown that the results support the recent reports on the dark matter relic density by $$mathbf {Planck}$$ Planck $$mathbf {2018}$$ 2018 collaboration and the direct detection experiment by $$mathbf {XENON1T} mathbf {2018}$$ XENON1T2018 collaboration.