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The complex scalar dark matter (DM) candidate in the gauged two Higgs doubletmodel (G2HDM), stabilized by a peculiar hidden parity ($h$-parity), is studiedin detail. We explore the parameter space for the DM candidate by taking intoaccount the most recent DM constraints from various experiments, in particular,the PLANCK relic density measurement and the current DM direct detection limitfrom XENON1T. We separate our analysis in three possible compositions for themixing of the complex scalar. We first constrain our parameter space with thevacuum stability and perturbative unitarity conditions for the scalarpotential, LHC Higgs measurements, plus Drell-Yan and electroweak precisiontest constraints on the gauge sector. We find that DM dominated by compositionof the inert doublet scalar is completely excluded by further combining theprevious constraints with both the latest results from PLANCK and XENON1T. Wealso demonstrate that the remaining parameter space with two other DMcompositions can be further tested by indirect detection like the future CTAgamma-ray telescope.

Complex Scalar Dark Matter in G2HDM