The remarkable success of the experimental program at the CERN Large Hadron Collider (LHC) allows for investigations of fundamental interactions at energy scales never explored before. So far, no clear manifestation of new physics has been observed in LHC data, suggesting that the standard model of particle physics could provide the right theoretical description of fundamental interactions up to very high energy scales. To ascertain whether this is indeed the case, one must be able to spot in LHC data even the tiniest deviation from the expected standard model behavior. Given the complexity of hadronic collisions, this task is very challenging and it requires many theoretical advances in different aspects of collider phenomenology. In this talk, I will focus on one of them, namely higher order perturbative computations. I will highlight the challenges that this kind of calculations poses, review some of the recent developments and present state-of-the-art phenomenological results for the LHC.