The continuous improvement of statistics and experimental systematics at the Large Hadron Collider (LHC) permits to challenge the Standard Model of particle physics at steadily increasing levels of energy and precision. In this context, the uncertainty of theoretical predictions starts playing a critical role in many areas of the physics program of the LHC, providing strong motivation for developing techniques that make it possible to push theoretical calculations towards more complex processes and higher perturbative orders including QCD and EW corrections. In this talk I will very briefly review recent progress in the tree and one-loop amplitude provider OpenLoops followed by a discussion of applications to Higgs-physics and to V+jets backgrounds in MET+jets Dark Matter searches.