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We discuss top-quark physics at the ILC with a focus on the full off-shellprocesses for $t\bar{t}$ and $t\bar{t}H$ production, including top-quark decaysand also leptonic $W$ decays. A special focus is on the matching of theresummed vNRQCD threshold calculation and the fixed-order NLO QCD continuumcalculation, where we present an update on the validation of the matching. Allof the calculations have been performed in the \wz event generator framework.

NLO QCD Corrections to Off-shell $t\,\bar{t}$ and $t\,\bar{t}\,H$ at the ILC