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In this talk I will review motivations for physics beyond the Standard Model and possible new physics models that address or transform these open issues of the SM. I will broadly overview how high-energy and high-luminosity future colliders can explore these scenarios of physics beyond the standard model both directly looking for onshell new ststes and through indirect effects from offshell states.
I will propose a possible outlook on the several proposals for future facilities that could probe these issues, with some focus of the newly reassessed potential for discovery at multi-TeV leptonic colliders.