  Measuring precisely top-pair-associated processes at hadron colliders will
become possible with the upcoming LHC running stages. The increased data
statistics will especially enable differential measurements leading to an
improved characterisation of such processes. Aiming at a consistent data-theory
comparison, precise Standard-Model predictions are needed, including
higher-order corrections and full off-shell effects. In this work we present
NLO-accurate predictions for the production and decay of a top-antitop pair in
association with a Z boson at the LHC, in the multi-lepton decay channel. The
complete set of LO contributions and NLO corrections of EW and QCD origin is
included. The calculation is based on full matrix elements, computed with all
resonant and non-resonant contributions, complete spin correlations and
interference effects. Integrated and differential cross-sections are presented
for a realistic fiducial setup.
