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We have examined $\mu^+\mu^- \rightarrow 2(\mu^+ \mu^-)$ and $\mu^+\mu^-\rightarrow \mu^+ \mu^-$ collisions at future high energy muon colliders in theframework of the Randall-Sundrum-like model with a small curvature ofspace-time. The collision energies of 3 TeV, 14 TeV and, 100 TeV are addressed.Both differential and total cross sections are calculated, and excluded boundson a 5-dimensional gravity scale are obtained depending on collision energy andintegrated luminosity of the muon collider.

Probe of a Randall-Sundrum-like model from muon pair production at high energy muon collider