Investigating μ±μ−→μ±μ− collisions under the effect of scalar and vector unparticles in Randall–Sundrum model

A theoretical attempt is made to present the unparticles contribution to the muon processes [Formula: see text], in Standard Model (SM), Randall–Sundrum (RS) model and RS model with unparticles (RS([Formula: see text])) including scalar and vector unparticles. We evaluated the cross-sections versus the scattering angle [Formula: see text], the kinetic energy [Formula: see text] of the outgoing muon beams, the collision energy [Formula: see text], the scaling dimension [Formula: see text] and the energy scale [Formula: see text]. The numerical results show that the cross-sections of two processes in RS([Formula: see text]) are much larger than in SM. The [Formula: see text] and [Formula: see text] beams can be accelerated and collided, producing the outgoing [Formula: see text] and [Formula: see text] beams as final states with large kinetic energy to probe new physics effects. The total cross-sections depend strongly on the polarization conditions of incoming muon and anti-muon beams, the scaling dimension [Formula: see text] and the energy scale [Formula: see text]. The final states of the muon collisions also depend on [Formula: see text] of colliders and unparticles parameter: ([Formula: see text], [Formula: see text]) if unparticle physics included. The results subsequently lead to the unparticle contribution as propagator significantly larger than SM and Higgs–radion propagator. Hence, it would be worthwhile probing at the future colliders when the muons become the accelerating candidates in the collisions we restricted.