Investigation of the $l^{-}l^{+}\nu \overline{\nu}$ final state at multi-TeV muon colliders through the exclusive decay of ZZ/WW gauge bosons in the Randall-Sundrum model

Abstract

An attempt is made to present the effect of the exclusive decay of ZZ/WW gauge bosons at high energy colliders in the Randall-Sundrum (RS) model. In this paper, we investigate the $l^{-}l^{+}\nu \overline{\nu}$ final state at muon-TeV colliders through the exclusive decay of ZZ/WW gauge bosons in detail. The result shows that with fixed collision energies, cross-sections for $l^{-}l^{+}\nu \overline{\nu}$ production in final state depend strongly on the parameters of the unparticle physics, muon polarization coefficients, parameters on anomalous couplings and also KK-graviton propagators. With the benchmark background $(\Lambda_{U}, d_{U})$ $= (1 $TeV$, 1.9)$, the total cross-sections achieve the maximum value when both of muon beams polarize left or right. In case of the different polarization, the cross section increases as the collision energy increases. The numerical evaluation shows that the cross-section for $l^{-}l^{+}\nu \overline{\nu}$ final state through the exclusive decay of WW charged bosons is much larger than that of ZZ neutral bosons under the same conditions. With the contribution of new physics in the RS model, the effect is greatly enhanced and the cross-sections for the production of $l^{-}l^{+}\nu \overline{\nu}$ final state can be measured in the future muon collisions.