Abstract
Multi-TeV center of mass energy ep colliders based on the Future Circular Collider (FCC) and linear colliders (LC) are proposed and corresponding luminosity values are estimated. Parameters of upgraded versions of the FCC are determined to optimize luminosity of electron-proton collisions keeping beam-beam effects in mind. It is shown that L_{ep}\sim10^{32}\,cm^{-2}s^{-1} can be achieved with moderate upgrade of the FCC parameters.
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