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The naturalness principle is under serious scrutiny after the discovery of a 126 SM-like Higgs boson and the lack of new physics signals at the LHC. In this talk I will show how the measurement of the Higgs couplings can be used as a probe of naturalness and how deviations from SM behaviour are in general inversely correlated with the amount of fine-tuning. I will give two examples of such correlation. First in the case of an extended scalar sector, I will study the large-lambda version of the Next-to-Minimal Supersymmetric Standard Model. Then, in a model independent approach, I will point out the generic correlation between naturalness and the size of top partner loop contributions to Higgs couplings to photons and gluons.
Finally I will discuss a modification of the usual criterion for naturalness and its consequences.