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Assuming the presence of physics beyond the Standard Model (SM) with acharacteristic scale M ~ O(10) TeV, we investigate the naturalness of the Higgssector at scales below M using an effective field theory (EFT) approach. Weobtain the leading 1-loop EFT contributions to the Higgs mass with aWilsonian-like hard cutoff, and determine the constraints on the correspondingoperator coefficients for these effects to alleviate the little hierarchyproblem up to the scale of the effective action \Lambda < M, a condition wedenote by "EFT-naturalness". We also determine the types of physics that canlead to EFT-naturalness and show that these types of new physics are bestprobed in vector-boson and multiple-Higgs production. The current experimentalconstraints on these coefficients are also discussed.

EFT naturalness: an effective field theory analysis of Higgs naturalness