In this talk I review recent progress in the computation of processes involving the Higgs and the top quark in the framework of Standard Model Effective Theory including higher-order corrections. In particular I will discuss the impact of QCD corrections and the importance of using these results in global EFT fits. The top and Higgs interplay and work towards a global Higgs and top interpretation will also be discussed.
Connections will begin at 12:30 with the seminar beginning at 13:00.