In order to establish the existence of new physics at the TeV scale, and to analyze its features, it is necessary to understand in detail and precisely predict the effects of Standard Model (SM) processes in current and future high-energy experiments. As an example, LHC processes are dominated by strong interaction physics, and new phenomena are going to appear as unexpected perturbations of dominant Standard Model backgrounds. The PPPP group specializes in the development of advanced perturbative Quantum Field Theory techniques and in their application to precision physics studies at high-energy colliders. In this area, its members have given several ground-breaking contributions and have established a close connection with the relevant experimental collaborations. Our four main lines of research are: precise predictions for Higgs boson signals and backgrounds at LHC; precision numerical studies of multi-particle processes at LHC: vector boson scattering and Multiple Parton Interactions; precision QCD studies: the infrared regime of perturbative gauge theories, with applications to soft and collinear resummation in collider processes; precision flavour physics: determination of the CKM matrix elements and new physics in semileptonic and rare B decays at LHCb and Belle-II.