  A profound understanding of vector-boson production processes is of crucial
importance at the LHC. The corresponding cross sections are large, and the
final states are easy to reconstruct due to the clean signatures in the
leptonic decay modes. Therefore, such processes play an important role as
backgrounds in a large variety of new-physics signals, and they may furthermore
help to better understand the well-established Standard-Model physics in a
hadron-collider environment. We review the recent progress in the theoretical
description of higher-order QCD and electroweak effects in vector-boson
production at the LHC, discussing the Drell--Yan process, vector-boson pair
production and vector-boson production with associated jets.
