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 μ ± μ − → μ ± μ − , in Standard Model (SM), Randall–Sundrum (RS) model and RS model with unparticles (RS()) including scalar and vector unparticles. We evaluated the cross-sections versus the scattering angle cos θ , the kinetic energy W μ − of the outgoing muon beams, the collision energy s , the scaling dimension d and the energy scale Λ . The numerical results show that the cross-sections of two processes in RS() are much larger than in SM. The μ + and μ − beams can be accelerated and collided, producing the outgoing μ + and μ − 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 d and the energy scale Λ . The final states of the muon collisions also depend on s of colliders and unparticles parameter: ( Λ , d ) 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. [ABSTRACT FROM AUTHOR]