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The production of a top quark in association with a $Z$ boson is studied inthe trilepton channel. The data collected by the ATLAS experiment at the LHC in2015 and 2016 at a centre-of-mass energy of $\sqrt{s} = 13\,\text{TeV}$ areused, corresponding to an integrated luminosity of $36.1\,\text{fb}^{-1}$.Events containing three identified leptons (electron and/or muon) and two jets,one of which is identified as a $b$-quark jet are selected. The majorbackgrounds come from diboson, $t\bar{t}$ and $Z+$jets production. A neuralnetwork is used to improve the background rejection and extract the signal. Theresulting significance of the signal is $4.2\sigma$ in the data and theexpected significance is $5.4\sigma$. The measured cross-section is $600 \pm170\text{(stat)} \pm 140\text{(syst)}\,\text{fb}$.

Measurement of the production cross-section of a single top-quark in association with a $Z$ boson at 13 TeV with the ATLAS detector