We study future lepton collider prospects for testing predictive models of leptophilic dark matter candidates with a thermal origin. We calculate experimental milestones for testing the parameter space compatible with freeze-out and the associated collider signals at past, present, and future facilities. This analysis places new limits on such models by leveraging the utility of lepton colliders. At e⁺e⁻ machines, we make projections using precision Z-pole observables from e⁺e⁻→ l⁺l⁻ + missing energy signatures at LEP and future projections for FCC-ee in these channels. Additionally, a muon collider could also probe new thermal relic parameter space in this scenario via μ⁺μ⁻ → X + missing energy where X is any easy identifiable SM object. Collectively, these processes can probe much all of the parameter space for which DM direct annihilation to l⁺l⁻ yields the observed relic density in Higgs-like models with mass-proportional couplings to charged leptons.
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Cesarotti et al. (2024) studied this question.