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The foreseen luminosities for the next LHC runs will enable precisedifferential measurements of the associated production of top-antitop pairswith a W boson. Therefore, providing accurate theory predictions for thisprocess is needed for realistic final states. We present the first combinationof NLO electroweak and QCD corrections to off-shell ttW$^+$ production in thethree-charged-lepton channel, including non-resonant effects, fullspin-correlations and interferences. Such radiative corrections comprise theelectroweak and QCD corrections to the leading QCD order, and the QCDcorrections to the leading electroweak order.

NLO electroweak and QCD corrections to off-shell ttW production at the LHC