High precision perturbative QCD predictions for Large Hadron Collider physics

Theoretical predictions at an unprecedented level of precision are nowadays indispensable to fully exploit the discovery potential of the collected and forthcoming data at the CERN Large Hadron Collider (LHC). In this contribution we present recent results on high-precision perturbative QCD calculations by considering the formalisms necessary to perform fully- differential fixed-order calculations at high perturbative order and to resum to all-order the infrared (Sudakov) large logarithmic corrections. We show illustrative phenomenological results for cross sections and associated distributions of key LHC processes, such as Higgs boson, vector boson and diphoton production