The cross-section for the production of two jets in association with a leptonically decaying Z boson () is measured in proton-proton collisions at a centre-of-mass energy of 13 TeV, using data recorded with the ATLAS detector at the Large Hadron Collider, corresponding to an integrated luminosity of 3.2 fb. The electroweak cross-section is extracted in a fiducial region chosen to enhance the electroweak contribution relative to the dominant Drell-Yan process, which is constrained using a data-driven approach. The measured fiducial electroweak cross-section is $\sigma^{Zjj}_{EW}= 119\pm 16 () \pm 20 ()\pm 2 ()34.2\pm 5.8 ()\pm 5.5 ()\pm 0.7 ()$ for dijet invariant mass greater than 1 TeV. Standard Model predictions are in agreement with the measurements. The inclusive cross-section is also measured in six different fiducial regions with varying contributions from electroweak and Drell-Yan production.

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