NLO QCD corrections to the production of top-antitop pairs in association with a W boson including leptonic decays

We present the QCD radiative corrections to the full off-shell $\rm t\bar{t}W^+$ production, considering a final state with three charged leptons, two b jets and missing energy. All interferences, off-shell effects and spin correlations are included in the calculation. Beyond presenting integrated and differential results for the full off-shell process, we compare them with those obtained applying a double-pole approximation to the virtual corrections.