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A measurement of the associated production of a top-quark pair ($t\bar{t}$)with a vector boson ($W$, $Z$) in proton-proton collisions at a center-of-massenergy of 13 TeV is presented, using $36.1$ fb$^{-1}$ of integrated luminositycollected by the ATLAS detector at the Large Hadron Collider. Events areselected in channels with two same- or opposite-sign leptons (electrons ormuons), three leptons or four leptons, and each channel is further divided intomultiple regions to maximize the sensitivity of the measurement. The$t\bar{t}Z$ and $t\bar{t}W$ production cross sections are simultaneouslymeasured using a combined fit to all regions. The best-fit values of theproduction cross sections are $\sigma_{t\bar{t}Z} = 0.95 \pm0.08_{\mathrm{stat.}} \pm 0.10_{\mathrm{syst.}}$ pb and $\sigma_{t\bar{t}W} =0.87 \pm 0.13_{\mathrm{stat.}} \pm 0.14_{\mathrm{syst.}}$ pb in agreement withthe Standard Model predictions. The measurement of the $t\bar{t}Z$ crosssection is used to set constraints on effective field theory operators whichmodify the $t\bar{t}Z$ vertex.

Measurement of the $t\bar{t}Z$ and $t\bar{t}W$ cross sections in proton-proton collisions at $\sqrt{s}=13$ TeV with the ATLAS detector