  Expected precisions of measurements of the elastic scattering cross sections
are estimated for $\mu^+ \mu^+$ and $\mu^+ e^-$ colliders, which are recently
proposed as future realistic possibilities ($\mu$TRISTAN). Comparing with
contributions from possible new physics represented by higher dimensional
operators, we find that the measurements at a TeV energy $\mu^+\mu^+$ collider
can probe the scale of new physics up to $O(100)$~TeV. A $\mu^+ e^-$ collider
for the Higgs boson factory can also improve the electroweak precision test.
