Perturbative Asymptotic Safety and Its 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.

28 pages, 8 figures, review article, published version

References in corpus (15)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• The Standard Model Higgs boson as the inflaton
• Asymptotic safety in higher-derivative gravity
• Fixed Points of Higher Derivative Gravity
• On the renormalization group flow of f(R)-gravity
• Asymptotic safety guaranteed
• Asymptotically Safe Lorentzian Gravity
• Asymptotic safety in the f(R) approximation
• Why should we care about the top quark Yukawa coupling?
• En route to Background Independence: Broken split-symmetry, and how to restore it with bi-metric average actions
• Large N flavor beta-functions: a recap
• Asymptotic safety guaranteed in supersymmetry
• A complete asymptotically safe embedding of the Standard Model
• Analytic Coupling Structure of Large $N_f$ (Super) QED and QCD