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The inclusive as well as differential cross section of the associatedproduction of top-antitop quark pairs and a $Z$ boson ($t\bar{t}Z$) is measuredin final states with exactly three or four isolated leptons (electrons ormuons). For this purpose, the full LHC Run 2 dataset of proton-protoncollisions recorded by the ATLAS detector from $2015$ to $2018$, whichcorresponds to an integrated luminosity of $139\,\text{fb}^{-1}$, is used. Theinclusive production cross section is measured to be$\sigma_{t\bar{t}Z}=1.05\pm0.05\,(\text{stat.})\,\pm0.09\,(\text{syst.})\,\text{pb}$,which is in agreement with the most precise Standard Model theoreticalprediction. Absolute and normalised differential cross section measurements areperformed as a function of various kinematic variables in order to probe thekinematics of the $t\bar{t}Z$ system within both parton- and particle-levelphase spaces.

Measurement of the inclusive and differential cross section of a top  quark pair in association with a $Z$ boson at $13\,\text{TeV}$ with the ATLAS  detector