EMMI Workshop: Mining for gluon saturation at the LHC and the future EIC

In 2022, two new expriments able to detect neutrinos started operation in the forward direction of the LHC. This allows using the neutrino flux to study forward particle production, and thus proton structure, in a previously unexplored kinematic regime of very low-x. In this presentation I will give an overview over the LHC neutrino program, first results and prospects for the future. In particular, I will outline the prospects to probe saturation.