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A search for flavour-changing neutral current (FCNC) processes in top-quarkdecays is presented. Data collected from proton-proton collisions at the LHC ata centre-of-mass energy of $\sqrt{s}=13$ TeV corresponding to an integratedluminosity of 36 fb$^{-1}$, are analysed. A search is performed for top-quarkpair-production events, with one top-quark decaying through the $t\to qZ$($q=u,c$) FCNC channel, and the other through the dominant Standard Model mode$t\to bW$. Only the decays of the $Z$ boson to charged leptons and leptonic $W$boson decays are considered as signal. No evidence for a signal is found. Theobserved and expected upper limits on the branching ratio of $t\to uZ$ and$t\to cZ$ are set at 95\% confidence level and are about a factor 3 better thanthe ones obtained with the Run 1 data of the ATLAS detector.

Search for $tZ$ Flavour Changing Neutral Currents in top-quark decays with the ATLAS detector