Single Production of gauge boson Z' at TeV Energy e~-γ colliders

In the context of the SU(3) simple group model and the Left-Right twin Higgs(LRTH) model,we study the single production of the new gauge boson Z' via e-γ collision and discuss the possibility to detect this new particle in the TeV energy e e-collider(LC).The results show that the production cross section of the new heavy gauge boson Z' is in the range of 10.08fb～84.5fb,and the cross section in the LRTH model is bigger than that in the SU(3) simple group model.The sufficient typical events could be assumed in future high energy LC experiments.