Perturbative Asymptotic Safety and Its Phenomenological Applications

TL;DR

This paper reviews the concept of asymptotic safety in high-energy physics, explaining its theoretical foundations, mechanisms, and potential phenomenological applications, especially in extending the Standard Model.

Contribution

It provides a comprehensive overview of asymptotic safety, detailing the conditions for its realization in gauge-Yukawa theories and exploring its phenomenological implications.

Findings

Conditions for asymptotic safety in gauge-Yukawa theories

Potential Standard Model extensions with asymptotic safety

Framework for phenomenological applications

Abstract

Asymptotic safety is a remarkable example when fruitful ideas borrowed from statistical physics proliferate to high-energy physics. The concept of asymptotic safety is tightly connected to fixed points (FPs) of the renormalization-group (RG) flow, and generalize well-known asymptotic freedom to a scale-invariant ultraviolet completion with non-vanishing interactions. In this review, we discuss the key ideas behind asymptotic safety, a mechanism for achieving it, and the conditions it imposes on general gauge-Yukawa field theories. We also pay special attention to possible phenomenological applications and provide an overview of standard model (SM) extensions potentially exhibiting asymptotic safety.