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v3.2.8
Renormalization Group equations (RGEs) are an essential tool for modern high energy physics, as they provide the link between various energy scales in the framework of gauge theories. They allow, for instance, for the study of scalar potentials (vacuum stability, electroweak symmetry breaking), gauge coupling unification in the context of Grand Unified Theories (GUT) ; or of any kind of high scale boundary conditions.
After introducing the Renormalization Group and its conceptual foundations, I will present PyR@TE 3, a state of the art computer tool that allows for the derivation of RGEs in a wide range of particle physics models. Compared to the previous versions, not only this tool underwent drastic performance improvements but it also encompasses classes of models for which the RGEs cannot be obtained via other available means, paving the way for new exciting studies. To illustrate this point, the second part of the presentation will concern an ongoing study of the principle of Asymptotic Safety applied to a realistic SO(10) GUT model. As another application of Renormalization Group methods, I will introduce the so-called Multiple Point Principle and its predictive power both in the framework of the Standard Model and of the Two Higgs Doublet model.