Joint ECFA-NuPECC-APPEC Workshop “Synergies between the EIC and the LHC”

Precise measurements of hard scattering processes are a corner stone of the LHC physics programme. On theory side, the large energy transfer in these processes allows for higher-order perturbative computations in QCD to achieve remarkable precision. Combined these measurements and predictions are able to put stringent constraints on PDFs, coupling constants and masses. In this talk I will give a review the necessary ingredients, state-of-the-art and challenges of perturbative computations beyond NLO QCD, both for hadron-hadron as well as lepton-hadron collisions. On the way I will highlight some recent results and applications.