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We investigate an extension of the Standard Model (SM) with two candidatesfor dark matter (DM). One of them is a real scalar field and the other is anAbelian gauge field. Except for these two, there is another beyond SM fieldwhich has unit charge under a dark $ U_{D}(1) $ gauge symmetry. The model isclassically scale invariant and the electroweak symmetry breaks because of theloop effects. Although SM is extended with a new dark symmetry and threefields, because of scale invariance, the parameter space is strictly restrictedcompared to other two-component DM models. We study both DM phenomenology andelectroweak phase transition and show that there are some points in theparameter space of the model consistent with DM relic density and directdetection constraints, while at the same time can lead to first orderelectroweak phase transition. The gravitational waves produced during the phasetransition could be probed by future space-based interferometers such as LaserInterferometer Space Antenna (LISA) and Big Bang Observer (BBO).

Electroweak phase transition and gravitational waves in a two-component dark matter model