Precision ${\mu }^{+}{\mu }^{+}$ and ${\mu }^{+}{e}^{-}$ elastic scatterings

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.