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As we enter the high luminosity LHC era and planning for high precision future lepton colliders, increasing precision makes loop induced BSM effects increasingly relevant, particularly in the Higgs sector. I will discuss recent progress in NLO calculations in the SMEFT for electroweak precision and Higgs physics with applications at the HL-LHC and FCC-ee. I will demonstrate the impact of higher order corrections both at the level of individual operators with an emphasis on the Higgs self-coupling, as well as on patterns set by simple UV completions.