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NLO QCD corrections to the process $pp \rightarrow e^+\nu_e \mu^-\bar{\nu}_{\mu} \tau^+\tau^- b \bar{b}+X$ are presented with the full off-shelleffects included. The calculation includes all resonant and non-resonantFeynman diagrams, photon and $Z$-gauge boson contributions, as well asinterference effects, all incorporated at the matrix element level. Furthermoreall heavy intermediate particles are described via Breit-Wigner propagators.Theoretical uncertainties related to the scale variation and choice of PDF setswere investigated at the integrated and differential level. The modelling isstudied by a direct comparison of the full off-shell process to the NWA, wheretops, $Z$- and $W$-gauge bosons are on-shell. Moreover, motivated byexperimental cuts, we also investigate the impact of imposing a window cutaround the mass of the $Z$-gauge boson on the full off-shell predictions.

$t\bar tZ$ in the $4\ell$ channel at NLO in QCD