Dark matter and collider studies in the left-right symmetric model with vectorlike leptons

In the context of a left-right symmetric model, we introduce one full generation of vectorlike lepton doublets (both left-and right-handed) together with their mirror doublets. We show that the lightest vectorlike neutrino in themodel is right-handed, and can serve as the darkmatter candidate. We find that the relic density as well as the direct and indirect DM detection bounds are satisfied for a large range of the parameter space of the model. In accordance with the parameter space, we then explore the possibility of detecting signals of the model at both the LHC and the ILC, in the pair production of the associated vectorlike charged leptons which decay into final states including dark matter. A comprehensive analysis of signal and backgrounds shows that the signals at the ILC, especially with polarized beams, are likely to be visible for light vectorlike leptons, even with low luminosity, rendering our model highly predictable and experimentally testable.