Deep-inelastic scattering at TeV energies with LHC muons

Abstract The LHC far-forward experiments FASER and SND@LHC have pioneered the detection of TeV-energy neutrinos produced in hard-scattering proton-proton collisions at the LHC. In addition to neutrinos, an intense flux of TeV-energy muons reaches these detectors, representing a dominant background for both neutrino studies and beyond the Standard Model searches. Here we demonstrate that this forward muon flux enables a comprehensive neutral-current deep-inelastic scattering (DIS) program at FASER with a strong kinematical overlap with the Electron Ion Collider. For the Run 3 luminosity of $${\mathcal {L}}_{{\textrm{pp}}}=250$$ L pp = 250  fb $$^{-1},$$ - 1 , more than $$10^5$$ 10 5 inclusive muon DIS events, of which up to $$10^4$$ 10 4 from charm production, are expected at FASER $$\nu .$$ ν . As a representative application, we demonstrate the sensitivity of muon DIS at FASER $$\nu $$ ν to probe the (intrinsic) charm content of the proton at large-x. We also provide predictions for event yields of muon DIS for future FASER runs and for the proposed Forward Physics Facility.