Collider physics at the intensity and energy frontier

The LHC results have set the stage for the discussion of future high-energy physics facilities. The Higgs boson discovery, with the need of precise measurements of its properties, and the current absence of experimental evidence of new physics open a discussion on the best ways to move forward. This documents summarises recent sensitivity studies for the HL-LHC physics programme and compares them with the opportunities offered by possible future circular collider facilities. The discovery potential is highlighted through observation of new particles, new phenomena and precision measurements of Standard Model quantities.