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In the framework of an nonuniversal $U(1)'$ extension of the standard model,we propose an scalar candidate for cold dark matter which exhibits interactionswith ordinary matter through Higgs and gauge bosons. Using limits from lowenergy observables, we find constraints on the new physics parameters of themodel associated to the extra abelian symmetry, in particular, the mass of theadditional neutral gauge boson $Z'$ and the new gauge coupling constant. Wefound that for the lower experimental limit $M_{Z'}=3$ TeV constrained bydirect research at LHC, the ratio between the $U(1)'$ and $SU(2)_L$ gaugecoupling constants is around $0.4$. Taking into account this limit and theobservable relic density of the Universe, we search for new constraints on themass of the dark matter particle of the model. We found that for a higgsphobicmodel, the mass of the scalar dark matter must be $M_{\sigma}=70$ GeV. We alsofound different kinematical threshold and resonances that enhance thedispersion of dark matter into ordinary matter for different regions of thespace of parameters of the model, obtaining masses as low as $1.3$ GeV and aslarge as $125$ GeV with not allowed intermediate regions due to resonances.

Scalar Dark Matter with CERN-LEP data and $Z'$ search at the LHC in an $U(1)'$ Model