The most exciting new physics that we are hoping to see are heavy neutrinos and dark matter which can address a few unsolved issues in the Standard Model. However, the regular searches for these new physics scenarios did not give us any hint of the observation. Certainly, we now look for more exootic new physics scenarios, one of which is the displaced vertex scenarios. In this talk we address Type-I, Type-III seesaw and Vector like leptons which can be probed via the displaced heavy neutrinos, displaced Higgs production, displaced double recoil, and displaced deccays doubly charged leptons. These prospects are discussed for the CMS, ATLAS and the proposed MATHUSLA detectors at the LHC, and for the proposed multi-TeV muon collider.
LHCPheno