  We present a detailed phenomenological study of Z-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. We study the impact of
different parton distribution functions (PDFs) on predictions for the Z+jet
process. Upon inclusion of the NNLO corrections, the residual scale uncertainty
is reduced such that both the total rate and the transverse momentum
distributions can be used to discriminate between various PDF sets.
