In this work, we present a search for Dark Matter candidate particles produced at the Large Hadron Collider, the process of the production of DM particles, alongside a new hypothetical gauge boson denoted by Z , is governed by a model called Mono-Z . The analyzed events contain dimuons plus large missing transverse momentum. The analyzed data were the CMS open Monte Carlo samples and the open data samples collected by the CMS detector for the proton-proton collisions at a center-of-mass energy of 8 TeV in 2012, which correspond to an integrated luminosity of 11.6 fb −1 . Two benchmarks scenarios were used for interpreting the data, the Dark Higgs scenario as a simplified approach of the Mono-Z model, and the effective field theory approach of the model. No evidence for the existence of dark matter candidates was found, and 95% confidence level limits were set on the mass of the Z , the mass of the dark matter candidate particle, and the cutoff scale of the effective field theory.