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This paper presents measurements of $W^{\pm}Z$ production cross sections in$pp$ collisions at a centre-of-mass energy of 13 TeV. The data were collectedin 2015 and 2016 by the ATLAS experiment at the Large Hadron Collider, andcorrespond to an integrated luminosity of 36.1 fb$^{-1}$. The $W^{\pm}Z$candidate events are reconstructed using leptonic decay modes of the gaugebosons into electrons and muons. The measured inclusive cross section in thedetector fiducial region for a single leptonic decay mode is $\sigma_{W^\pm Z\rightarrow \ell^{'} \nu \ell \ell}^{\textrm{fid.}} = 63.7 \pm 1.0$ (stat.)$\pm 2.3$ (syst.) $\pm 1.4$ (lumi.) fb, reproduced by thenext-to-next-to-leading-order Standard Model prediction of $61.5^{+1.4}_{-1.3}$fb. Cross sections for $W^+Z$ and $W^-Z$ production and their ratio arepresented as well as differential cross sections for several kinematicobservables. An analysis of angular distributions of leptons from decays of $W$and $Z$ bosons is performed for the first time in pair-produced events inhadronic collisions, and integrated helicity fractions in the detector fiducialregion are measured for the $W$ and $Z$ bosons separately. Of particularinterest, the longitudinal helicity fraction of pair-produced vector bosons isalso measured.

Measurement of $W^{\pm}Z$ production cross sections and gauge boson polarisation in $pp$ collisions at $\sqrt{s} = 13$ TeV with the ATLAS detector