  We present a detailed phenomenological study of W-boson production in
association with a jet through next-to-next-to-leading order (NNLO) in
perturbative QCD. Fiducial cross sections and differential distributions for
both 8 TeV and 13 TeV LHC collisions are presented, as are results for both the
inclusive one-jet bin and the exclusive one-jet bin. Two different event
selection criteria are considered: a general selection with standard cuts used
in experimental analyses, and a boosted selection that focuses on high
transverse momentum jets. We discuss the higher-order corrections in detail and
identify for which observables and phase space regions the QCD perturbative
expansion is under good theoretical control, and where additional work is
needed. For most distributions and phase space regions the QCD perturbative
expansion exhibits good convergence after the inclusion of the NNLO
corrections.
