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Standard Model effective field theory (SMEFT) enables us to universally describe the effects of heavy new physics at lower energy scales. Recently, there has been a lot of progress on calculating next-to-leading order (NLO) effects in SMEFT. We will discuss how the choice of the electroweak input scheme influences the convergence at NLO and how universal, scheme-dependent corrections can be resummed. Moreover, we will show the effects of higher-order predictions and renormalisation group evolution on global SMEFT fits.