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We report on state-of-the-art theoretical predictions for $pp\tot\bar{t}b\bar{b}$ including full off-shell effects in the di-lepton decaychannel at NLO QCD accuracy. We briefly discuss the impact of NLO QCDcorrections on differential distributions and also asses theoreticaluncertainties from scale and PDF dependence. Furthermore, we propose a simplekinematic reconstruction in order to distinguish $b$ jets originating fromtop-quark decays from arising from gluon splittings.

Full off-shell NLO QCD predictions for $t\bar{t}b\bar{b}$ at the LHC