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We propose a supersymmetric extension of the minimal $U(1)_X$ model, alongwith a new $Z_2$-parity. One of the salient features of this model relates tohow both the $U(1)_X$ gauge symmetry and R-parity are broken radiatively at theTeV scale by the VEV of a $Z_2$-even right handed neutrino. By assigning oneright-handed neutrino $Z_2$-odd parity, it can remain a viable dark matter (DM)candidate, despite R-parity being broken. Furthermore, the DM relic abundancereceives an enhanced annihilation cross section due to the $U(1)_X$ gauge boson($Z'$) resonance and is in agreement with the current observations. We havealso found a complementarity that exists between the observed DM relicabundance and search results for the $Z^\prime$ boson resonance at the LargeHadron Collider (LHC), which further constrains the parameter space of our$U(1)_X$ model. Lastly, we consider a $SU(5)\times U(1)_x$ GUT extension andinvestigate the complementarities mentioned previously.

Supersymmetric minimal $U(1)_X$ model at the TeV scale with right-handed Majorana neutrino dark matter