Abstract
We study dark matter (DM) abundance in the framework of the extension of the Standard Model (SM) with an additional U(1)_X gauge symmetry. One complex singlet is included to break the U(1)_X gauge symmetry, meanwhile one of the doublets is considered inert to introduce a DM candidate. The stability of the DM candidate is analyzed with a continuous U(1)_X gauge symmetry as well as discrete Z_2 symmetry. We find allowed regions for the free model parameters which are in agreement with the most up-to-date experimental results reported by CMS and ATLAS Collaborations, the upper limit on WIMP-nucleon cross section imposed by XENON1T Collaboration and the upper limit on the production cross-section of a Z^{prime } gauge boson times the branching ratio of the Z^{prime } boson decaying into ell ^-ell ^+. We also obtain allowed regions for the DM candidate mass from the relic density reported by the PLANCK Collaboration including light, intermediate and heavy masses; depending mainly on two parameters of the scalar potential, lambda _{2x} and lambda _{345}=lambda _3+lambda _4+2lambda _5. We find that trough pprightarrow chi chi gamma production, it may only be possible for a future hadron–hadron circular collider (FCC-hh) to be able to detect a DM candidate within the range of masses 10–60 GeV.
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