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In this talk I review recent progress in the computation of processes involving top quarks in the framework of Standard Model Effective Theory including NLO QCD corrections. In particular I will discuss the impact of QCD corrections on top pair production, single top production, and top pair production in association with a photon, a Z boson and a Higgs in the presence of higher-dimensional operators. Results for Higgs production in processes involving top loops will also be discussed. The complementarity of these two classes of processes in constraining top quark operators will be demonstrated.