The LHeC and the FCC-he are the cleanest, high resolution microscopes that the world can build in the nearer future. Through a combination of neutral and charged currents and heavy quark tagging, they will unfold the parton structure of the proton with full flavour decomposition and unprecedented precision. In this talk we will present the most recent studies on the
determination of proton parton densities as contained in 2020 LHeC Conceptual Design Report update . We will also present the results on the determination of the strong coupling constant through the measurement of total and jet cross sections.
 LHeC Collaboration and FCC-he Study Group, P. Agostini et al., e-Print: 2007.14491 [hep-ex], to appear in J. Phys. G.
|Collaboration / Activity||LHeC/FCC-he Study Group|
|First author||N. Armesto|