Contact Interactions at Future Circular Collider Based Muon–Proton Colliders

Recently proposed Future Circular Collider-based muon–proton colliders will allow for investigating lepton–hadron interactions at the highest center-of-mass energy. In this study, we investigate the potential of these colliders for a four-fermion contact interactions search. Regarding the constructive and destructive interferences of contact interactions, we estimated discovery, observation, and exclusion limits on the compositeness scale for the left–left, right–right, left–right, and right–left helicity structures. In this regard, we obtained compositeness scales for the left–left helicity structure at \(\sqrt {s} = 63.2\) TeV FCC-based \(\mu p\) collider with the 100 fb\(^{-1}\) integrated luminosity as \(225.7\pm 1.9\)% TeV (discovery), \(269.0\pm 2.0\)% TeV (observation), and \(311.3\pm 2.1\)% TeV (exclusion). This study's findings show that the FCC-based \(\mu p\) colliders have great potential for investigating four-fermion contact interactions.