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We study supersymmetric (SUSY) models in which the muon $g-2$ discrepancy andthe dark matter relic abundance are simultaneously explained. The muon $g-2$discrepancy, or a 3$\sigma$ deviation between the experimental and theoreticalresults of the muon anomalous magnetic moment, can be resolved by SUSY models,which implies at least three SUSY multiplets have masses of$\mathop{\mathcal{O}}(100)\, \mathrm{GeV}$. In particular, models with thebino, higgsino and slepton having $\mathop{\mathcal{O}}(100)\, \mathrm{GeV}$masses are not only capable to explain the muon $g-2$ discrepancy but naturallycontains the neutralino dark matter with the observed relic abundance. We studyconstraints and future prospects of such models; in particular, we find thatthe LHC search for events with two hadronic taus and missing transversemomentum can probe this scenario through chargino/neutralino production. It isshown that almost all the parameter space of the scenario can be probed at thehigh-luminosity LHC, and a large part can also be tested at the XENON1Texperiment as well as at the ILC.

Probing minimal SUSY scenarios in the light of muon $g-2$ and dark matter