Limitations of Perturbative Renormalization and the Challenges of the Standard Model

Abstract

In contrast with the paradigm of effective Quantum Field Theory (EFT), realistic Renormalization Group (RG) flows approaching fixed points are neither perturbative nor linear. We argue that overlooking these limitations is necessarily linked to many unsolved puzzles challenging the Standard Model of particle physics (SM). Here we show that the analysis of non-linear attributes of RG flows near the electroweak scale can recover the full mass and flavor structure of the SM. It is also shown that this analysis brings closure to the “naturalness” puzzle without impacting the cluster decomposition principle of EFT.