High-energy processes at the LHC are potentially powerful indirect probes of heavy new physics, whose effects can be encapsulated in higher-dimensional operators or in modified Standard Model couplings. The energy growth of new-physics effects in a broad class of processes makes them sensitive targets of the LHC large kinematic reach, provided accurate enough measurements are possible. In this talk I give an overview of this topic and discuss, in particular, how dilepton and diboson processes can allow us to obtain precision electroweak measurement at the LHC and future colliders