Investigating the Z' gauge boson at future lepton colliders

Z’ boson as a new gauge boson has been proposed in many new physics models.The interactions of Z’coupling to fermions have been studied in detail at the large hadron collider.A Z’ with the mass of a few TeV has been excluded in some special models.Future lepton colliders will focus on the studies of Higgs physics,which provide the advantage to investigate the interactions of the Higgs boson with the new gauge bosons.We investigate the Z’ZH interaction via the process of e~+e~-→Z’/Z→ZH→l~+l~-b■.The angular distribution of the final leptons decaying from the Z-boson is related to the mixing of Z’-Z and the mass of Z’.The forward-backward asymmetry is proposed as an observable to investigate Z’-Z mixing.The angular distributions change significantly with some special beam polarization compared with the unpolarized condition.