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

Abstract We have examined a production of a muon pair through vector boson fusion and direct μ + μ − annihilation at future high-energy muon colliders in the framework of the Randall–Sundrum-like model with a small curvature of spacetime. The collision energies of 3 TeV, 14 TeV and 100 TeV are addressed. Differential and total cross sections are both calculated, and exclusion bounds on a five-dimensional gravity scale are obtained depending on collision energy and the integrated luminosity of the muon colliders. For comparison, the effects of extra dimensions in the Arkani-Hamed–Dimopoulos–Dvali model at the muon collider are studied.