In this talk I review recent progress in the computation of processes involving top quarks in the framework of Standard Model Effective Theory at NLO in QCD. 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 loop-induced processes involving top loops such as gg to HZ, gg to HH, pp to Hj will also be discussed.
