Extra neutral gauge boson from two versions of the 3-3-1 model in future linear colliders

Our aim is to establish some signatures of the extra gauge boson Z^′, predicted in two versions of the SU(3)_C×SU(3)_L×U(1)_X model and to show possible differences between these signatures. First, by considering the process e⁺+e^-→μ⁺+μ^-, we obtain some observables and next, by considering additional hadronic final states, we obtain lower bounds for M_Z′, within 95% C.L. We also include our preliminary results concerning pp̄ and pp collisions in order to support our conclusions about the possibility to discriminate different versions of the 3-3-1 model. From our analysis we conclude that linear colliders can show a clear signature for the existence of Z^′ predicted in the 3-3-1 model and also that it can discriminate the various versions. PACS 12.60.Cn; 13.66.De; 13.66.Fg; 14.70.Pw