Journal of Physics G: Nuclear and Particle Physics, cilt.52, sa.2, 2025 (SCI-Expanded)
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.