|DATE||November 04 (Thu), 2021|
|TITLE||Hubble selection of the weak scale from QCD quantum phase transition|
|ABSTRACT||If the strange quark were lighter, QCD phase transition could have been first order. This implies that QCD may have quantum critical points as the Higgs vev vh is varied from its Standard Model value. We show that inflationary quantum evolution of vh with the relaxion can drive our universe toward those critical points, realizing the weak scale close to the observed value while explaining its closeness to ΛQCD. We first explore quantum critical points of Nf=3 QCD, parameterized by vh at T=0, and present a basic model for the weak scale. It results in a sharply localized probability distribution of the weak scale, which is critical not to the crossover at zero but to the quantum transition at ∼ΛQCD.