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We study an extension of the Standard Model (SM) which could have twocandidates for dark matter (DM) including a Dirac fermion and a Vector DarkMatter (VDM) under new $U(1)$ gauge group in the hidden sector. The model isclassically scale invariant and the electroweak symmetry breaks because of theloop effects. We investigate the parameter space allowed by currentexperimental constraints and phenomenological bounds. We probe the parameterspace of the model in the mass range $1< M_V<5000$ GeV and $1<M_{\psi}<5000$GeV. It has been shown that there are many points in this mass range that arein agreement with all phenomenological constraints. The electroweak phasetransition have been discussed and shown that there is region in the parameterspace of the model consistent with DM relic density and direct detectionconstraints, while at the same time can lead to first order electroweak phasetransition. The gravitational waves produced during the phase transition couldbe probed by future space-based interferometers such as LISA and BBO.

Gravitational wave effects and phenomenology of a two-component dark matter model