The possibility of discovering new boson in e(-)e(-), mu(-)mu(-), e(-)mu(-) colliders

Several left-right asymmetries in Moller (electron-electron), muon-muon and electron-muon scattering are considered in the context of the electroweak standard model and in a model with SU(3)(C) x SU(3)(L) x U(1)(Y) gauge symmetry at tree level in collider experiments. We show that these asymmetries are very sensitive to a doubly charged vector bilepton in the case of ee and mu mu colliders and to an extra Z' neutral vector boson contribution in e(-)mu (-) collider.