  We present the production cross section for a lepton-neutrino pair at the
Large Hadron Collider computed at next-to-next-to-next-to leading order (N3LO)
in QCD perturbation theory. We compute the partonic coefficient functions of a
virtual $W^{\pm}$ boson at this order. We then use these analytic functions to
study the progression of the perturbative series in different observables. In
particular, we investigate the impact of the newly obtained corrections on the
inclusive production cross section of $W^{\pm}$ bosons, as well as on the
ratios of the production cross sections for $W^+$, $W^-$ and/or a virtual
photon. Finally, we present N3LO predictions for the charge asymmetry at the
LHC.
