Luminosity and physics considerations on HL-LHC- and HE-LHC-based mu p colliders

Construction of the future muon collider tangential to the Large Hadron Collider will give opportunity to realize mu p collisions at multi-TeV center-of-mass energies. Using the nominal parameters of high-luminosity and high-energy upgrades of the LHC, as well as the design parameters of muon colliders, it is shown that L-mu p of the order of 10(33) cm(-2) s(-1) is achievable for different options with root s(mu p) from 4.58 TeV to 12.7 TeV. Certainly, the proposed mu p colliders have a huge potential for clarifying QCD basics and searches for new physics. Copyright (C) 2022 EPLA