  In this study, we examine the possibilities opened by upcoming high-energy
deep-inelastic scattering (DIS) experiments to investigate new physics within
the framework of the Standard Model Effective Field Theory (SMEFT).
Specifically, we investigate the beyond-the-Standard-Model (BSM) potential of
the Large Hadron-electron Collider (LHeC) and the Future Circular lepton-hadron
Collider (FCC-eh), and we improve previous simulations of the Electron-Ion
Collider (EIC) by incorporating $Z$-boson vertex corrections. Our fits,
performed using DIS pseudodata, reveal that the LHeC and the FCC-eh can play a
crucial role in resolving degeneracies observed in the parameter space of
Wilson coefficients in global fits using the Higgs, diboson, electroweak, and
top data. This emphasizes the significance of precision DIS measurements in
advancing our understanding of new physics.
