Prospects for bounds on electroweak and Higgs observables via scaling effects

In these proceedings we briefly review the basic concepts underlying indirect bounds on the Wilson coefficients of some Standard Model dimension-6 operators, relevant to electroweak and Higgs observables, obtained via renormalization group (RG) mixing to strongly constrained observables. With the present data we derive RG-induced bounds, stronger than the direct constraints, on some Higgs couplings and anomalous triple gauge couplings. Any deviation from these bounds would suggest a particular pattern of correlations among the Wilson coefficients, thus offering a new window on the new physics sector. Prospects for these effects at the LHC and at proposed future lepton colliders (ILC and TLEP) are assessed.