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Construction of future Muon Collier (or dedicated [Formula: see text]-ring) tangential to the energy frontier [Formula: see text] colliders will give opportunity to realize [Formula: see text] and [Formula: see text] collisions at multi-TeV center-of-mass energies with sufficiently high luminosities. Obviously, such colliders will essentially enlarge the physics search potential of corresponding muon and hadron colliders for both the SM (especially for clarifying QCD basics and confinement hypothesis) and BSM phenomena. In addition, they will provide parton distribution functions for adequate interpretation of energy frontier [Formula: see text] colliders’ and cosmic ray experiments data. This paper is devoted to review of main parameters of [Formula: see text] colliders proposed until now.