Left-right asymmetries and exotic vector-boson discovery in lepton-lepton colliders

By considering left-right (L-R) asymmetries we study the capabilities of lepton colliders in searching for new exotic vector bosons. Specifically we study the effect of a doubly charged bilepton boson and an extra neutral vector boson appearing in a 3-3-1 model on the L-R asymmetries for the processes $e^{-}{e}^{-}\to e^{-}{e}^{-}$, ${\mu }^{-}{\mu }^{-}\to {\mu }^{-}{\mu }^{-}$ and $e^{-}{\mu }^{-}\to e^{-}{\mu }^{-}$ and show that these asymmetries are very sensitive to these new contributions and that they are in fact powerful tools for discovery this sort of vector bosons.