Given the absence of direct evidence for new resonances beyond the Standard Model at the LHC so far, a complementary strategy to search for new physics in an indirect way is provided by the Standard Model Effective Field Theory (SMEFT). Global interpretations within the SMEFT framework, including their matching to UV-complete models, involve energy scales spanning several orders of magnitude. In this talk, I will demonstrate how to relate these measurements among them in terms of a common energy scale as enabled by the Renormalisation Group Equations. I will then quantify their impact in a global SMEFT fit to LEP and LHC data, presenting results in terms of SMEFT parameters as well as UV couplings. Finally, I will show a brief application to the Higgs self-coupling using projected data from the HL-LHC and the FCC-ee.