The production of $W$ and $Z$ bosons in association with jets is studied in the forward region of proton-proton collisions collected at a centre-of-mass energy of 8 TeV by the LHCb experiment, corresponding to an integrated luminosity of 1.98 $\pm$ 0.02 fb$^{-1}$. The $W$ boson is identified using its decay to a muon and a neutrino, while the $Z$ boson is identified through its decay to a muon pair. Total cross-sections are measured and combined into charge ratios, asymmetries, and ratios of $W+$jet and $Z$+jet production cross-sections. Differential measurements are also performed as a function of both boson and jet kinematic variables. All results are in agreement with Standard Model predictions.
The total cross sections for $Wj$ and $Z^0 j$ production, obtained by summing over the measured cross-sections in bins of $\eta^{\mathrm{jet}}$.
The total cross sections for $Wj$ and $Zj$ production, obtained by summing over the measured cross-sections in bins of $\eta^{\mathrm{jet}}$.
The ratios of the $Wj$, $W^+j$ and $W^-j$ cross-sections to the $Z^0 j$ cross-section, and the ratio of the $W^+j$ to $W^-j$ cross-sections.