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The possibility of producing a measurable long-lived dark $Z$ boson, that isassumed to be produced either via its kinetic mixing with the hypercharge gaugeboson or via mixing of the observed 125-GeV Higgs boson with the dark Higgsboson, called Higgs mixing, in Run 2 of the Large Hadron Collider (LHC) isinvestigated. Displaced dimuons in the final state are considered where each ofthe $Z$ and the dark $Z$ bosons decays directly to a dimuon. The Higgsproduction cross sections via gluon-gluon fusion at 13 TeV calculated to acombination of next-to-next-to-next-to-leading order with QCD corrections(N$^{3}$LO QCD) and next-to-leading order with electroweak corrections (NLO EW)from the literature are used, while the branching fractions are calculated toNLO by using Monte Carlo simulation in the framework of{\textsc{MadGraph5}}\_aMC@NLO and compared to the available analyticalcalculations to leading order (LO). Sensitivities of the LHC in Run 2 to suchsearches are discussed.

Illuminating long-lived dark vector bosons via exotic Higgs decays at $\sqrt{s} = 13\,{\text {TeV}}$