Effective Theories for Nonperturbative Physics

In the past decades, the Standard Model has been established to increasingly higher accuracy at experiments, which is a remarkable achievement for perturbation theory of both the strong and weak interactions. In contrast, tests for nonperturbative predictions of Standard Model physics are sorely lacking, even though nonperturbative phenomena lie at the heart of many expectations for SM and BSM physics. In particular, the role of EW sphalerons in baryogenesis, the role of QCD instantons in strong CP, and the fundamental mass gap problem of Yang-Mills theory are all commonly shared expectations about the behavior of SM physics beyond perturbation theory.