  The leptophilic weakly interacting massive particle (WIMP) is realized in a
minimal renormalizable model scenario where scalar mediators with lepton number
establish the WIMP interaction with the standard model (SM) leptons. We perform
a comprehensive analysis for such a WIMP scenario for two distinct cases with
an SU(2) doublet or singlet mediator considering all the relevant theoretical,
cosmological and experimental constraints at present. We show that the
mono-photon searches at near-future lepton collider experiments (ILC, FCC-ee,
CEPC, etc.) can play a significant role to probe the yet unexplored parameter
range allowed by the WIMP relic density constraint. This will complement the
search prospect at the near-future hadron collider experiment (HL-LHC).
Furthermore, we discuss the combined model scenario including both the doublet
and singlet mediator. The combined model is capable of explaining the
long-standing muon (g-2) anomaly which is an additional advantage. We
demonstrate that the allowed region for anomalous muon (g-2) explanation can
also be probed at the future colliders which will thus be a simultaneous
authentication of the model scenario.
