Lepton nucleon scattering from low to high energies

Lepton scattering has been, and continues to be, an extremely important experimental technique to study properties of matter. Elastic and inelastic electron nucleon scattering has allowed us to obtain information about form factors and structure functions or, at higher energies, parton distribution functions. In my presentation I will focus on the electroweak physics aspect of electron proton scattering and describe the theory challenge encountered in analyses aiming at extracting parameters of the weak interaction. I’ll discuss the extraction of the weak charge of the proton at low-energy scattering, in particular at the upcoming P2 experiment at the MESA facility in Mainz. I’ll also review results from an analysis of data from the H1 experiment at HERA and prospects of possible future very high energy colliders LHeC and FCC-ep.