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We compare fixed order and parton shower matched predictions for the process${pp\rightarrow \ell^+\nu_{\ell} \ell^-\bar{\nu}_{\ell} \ell^{\pm}{\nu}_{\ell}b\bar{b}+X}$ at NLO in QCD, including the orders$\mathcal{O}(\alpha_s^3\alpha^6)$ and $\mathcal{O}(\alpha_s\alpha^8)$. Thecomparison is performed at the integrated and differential fiducial level atthe LHC with $\sqrt{s}=13$ TeV. In the absence of parton shower matchingprocedure that includes the full off-shell effects for this process at NLO inQCD, we propose a new prescription. It enables the inclusion of approximatefull off-shell effects to currently available parton shower matched predictionsat NLO in QCD.

Modelling uncertainties of $t\overline{t}W$ in multi-lepton channel