We study an extension of the Standard Model (SM) which could have two
candidates for dark matter (DM) including a Dirac fermion and a Vector Dark
Matter (VDM) under new U(1) gauge group in the hidden sector. The model is
classically scale invariant and the electroweak symmetry breaks because of the
loop effects. We investigate the parameter space allowed by current
experimental constraints and phenomenological bounds. We probe the parameter
space of the model in the mass range 1<MVβ<5000 GeV and 1<MΟβ<5000
GeV. It has been shown that there are many points in this mass range that are
in agreement with all phenomenological constraints. The electroweak phase
transition have been discussed and shown that there is region in the parameter
space of the model consistent with DM relic density and direct detection
constraints, while at the same time can lead to first order electroweak phase
transition. The gravitational waves produced during the phase transition could
be probed by future space-based interferometers such as LISA and BBO.Comment: 28 pages, 11 figure