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Recently, a novel collider, called $\mu$TRISTAN, has been proposed, offeringthe capability to achieve high-energy collisions of anti-muons. Thishigh-energy collider presents an exceptional opportunity for the discovery ofelectroweak-interacting massive particles (EWIMPs), which are predicted byvarious new physics models. In a lepton collider like $\mu$TRISTAN, thepotential for discovering EWIMPs extends beyond their direct production.Quantum corrections arising from EWIMP loops can significantly enhance ourprospects for discovery by precise measurement of Standard Model processes.This study focuses on the indirect detection method within the $\mu$TRISTANexperiment, with a specific emphasis on TeV-scale EWIMP dark matter scenariosthat yield the correct thermal relic density. At collision energies for $\sqrt{s} = O(1-10)$ TeV, these EWIMPs introduce noticeable effects, typicallyin the range of $O(0.1-1)$\%. Our findings indicate that at $\sqrt{s} = 2\,(10)$ TeV, with an integrated luminosity of 10 ab$^{-1}$, the $\mu$TRISTAN candetect Higgsino at a mass of 1.3 (2.5) TeV and Wino at a mass of 1.9 (3.8) TeV,assuming an optimistic level of systematic uncertainty in the observation ofthe Standard Model processes.

Indirect Probe of Electroweak-Interacting Particles at $\mu$TRISTAN $\mu^+\mu^+$ Collider