Since the discovery of the Higgs at the LHC, particle physics model building has been confronted with a severe conceptual challenge: the inferred values of the Higgs’ mass and self-coupling both appear to be fine-tuned. This not only poses the question what kind of new physics could explain such a behavior, but also undermines phenomenological efforts as acknowledging the possibility of fine-tuning oftentimes allows for the evasion of any experimental constraints. In the first half of my talk, I will review these fine-tunings and their implications more generally. In the second half, I will discuss a new class of explanations (including one concrete example) aimed at addressing these issues using ingredients that lie within range of realistic future experiments without already being excluded by LHC.