The value of the Higgs mass is one of the biggest mysteries in particle physics. In the past decades a set of experiments with unprecedented energy and sensitivity have been built to test its explanations. The absence of positive signals suggests that the guiding principles of the field might have been misleading. However, the question remains valid and existing experimental results have only made it sharper and harder to solve. Giving up on this problem cannot be done without giving up the Wilsonian picture of particle physics that underlies our whole understanding of Nature and our tremendous success in describing it. I will review the problem, its solutions and the unavoidable questions raised by its relation to the cosmological constant problem.