Naturalness After LHC run I

Thanks to the discovery of the Higgs boson, the 8 TeV run of the LHC was a tremendous success. At the same time, the lack of signals of physics beyond the Standard Model was unexpected. Waiting for the first results of the 13 TeV run, as assessment of the implications of such a puzzling situation is appropriate. After a critical appraisal of the naturalness argument, we will discuss i) the status of models addressing the naturalness problem (supersymmetry and composite Higgs as prototypical examples) and ii) possible alternative models evading the naturalness argument. Copyright © 2016 by INFN.