Perturbative Asymptotic Safety and Its Phenomenological Applications
arXiv:2309.08258 · doi:10.3390/sym15081497
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.
arXiv comment28 pages, 8 figures, review article, published version
References in corpus (82)
- 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
- Higgs mass and vacuum stability in the Standard Model at NNLO
- Nonperturbative Evolution Equation for Quantum Gravity
- Investigating the near-criticality of the Higgs boson
- SARAH 4: A tool for (not only SUSY) model builders
- Higgs boson mass and new physics
- Investigating the Ultraviolet Properties of Gravity with a Wilsonian Renormalization Group Equation
- Fixed points of quantum gravity
- Renormalization Group Flow of Quantum Gravity in the Einstein-Hilbert Truncation
- Ultraviolet Fixed Point and Generalized Flow Equation of Quantum Gravity
- Asymptotic safety of gravity and the Higgs boson mass
- Flow Equation of Quantum Einstein Gravity in a Higher-Derivative Truncation
- Asymptotic safety in higher-derivative gravity
- Fixed Points of Higher Derivative Gravity
- Stability of the Electroweak Vacuum: Gauge Independence and Advanced Precision
- On the renormalization group flow of f(R)-gravity
- Asymptotic safety guaranteed
- Asymptotically Safe Lorentzian Gravity
- Further evidence for asymptotic safety of quantum gravity
- Two-loop Renormalization Group Equations in General Gauge Field Theories
- Gravitational Correction to Running of Gauge Couplings
- The Gravitational Two-Loop Counterterm is Asymptotically Safe
- QED coupled to QEG
- Towards apparent convergence in asymptotically safe quantum gravity
- Asymptotic safety in the f(R) approximation
- One force to rule them all: asymptotic safety of gravity with matter
- Asymptotic freedom of Yang-Mills theory with gravity
- 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
- A Critique of the Asymptotic Safety Program
- An asymptotically safe solution to the U(1) triviality problem
- Running Gauge Coupling in Asymptotically Safe Quantum Gravity
- Upper bound on the Abelian gauge coupling from asymptotic safety
- The QCD beta-function at O(1/N_f)
- Viability of quantum-gravity induced ultraviolet completions for matter
- Is there a Landau Pole Problem in QED?
- Constraints on RG Flow for Four Dimensional Quantum Field Theories
- Mass difference for charged quarks from asymptotically safe quantum gravity
- Anomalous Magnetic Moments from Asymptotic Safety
- Non-perturbative unitarity and fictitious ghosts in quantum gravity
- Directions for model building from asymptotic safety
- Finite Quantum Gravity Amplitudes -- no strings attached
- Dark Matter meets Quantum Gravity
- Large N flavor beta-functions: a recap
- Revisiting RGEs for general gauge theories
- Constraining power of asymptotic safety for scalar fields
- Theorems for Asymptotic Safety of Gauge Theories
- Asymptotically Safe Standard Model Extensions?
- Model Building from Asymptotic Safety with Higgs and Flavor Portals
- Solutions to the reconstruction problem in asymptotic safety
- Conformal Window 2.0: The Large Safe Story
- Constraints on 3- and 4-loop -functions in a general four-dimensional Quantum Field Theory
- The a theorem for Gauge-Yukawa theories beyond Banks-Zaks
- UV conformal window for asymptotic safety
- Asymptotic safety guaranteed in supersymmetry
- Minimal models for and dark matter confront asymptotic safety
- Safety in darkness: Higgs portal to simple Yukawa systems
- A short introduction to asymptotic safety
- More asymptotic safety guaranteed
- Gauge-Yukawa theories: Beta functions at large
- Non-perturbative QEG Corrections to the Yang-Mills Beta Function
- Radiative symmetry breaking from interacting UV fixed points
- Asymptotic safety of gravity, the Higgs boson mass and beyond the Standard Model physics
- Four-Loop Gauge and Three-Loop Yukawa Beta-Functions in a General Renormalizable Theory
- Naturally small Yukawa couplings from trans-Planckian asymptotic safety
- Flavor anomalies from asymptotically safe gravity
- Gauge contribution to the expansion of the Yukawa coupling beta function
- Portals into Higgs vacuum stability
- Are there ALPs in the asymptotically safe landscape?
- Safety versus triviality on the lattice
- Neutrino masses, vacuum stability and quantum gravity prediction for the mass of the top quark
- Asymptotic safety and gauged baryon number
- Constraints on solutions to the flavor anomalies with trans-Planckian asymptotic safety
- In search of a UV completion of the Standard Model - 378.000 models that don't work
- A complete asymptotically safe embedding of the Standard Model
- Asymptotically safe dark matter with gauged baryon number
- Analytic Coupling Structure of Large (Super) QED and QCD
- How robust are particle physics predictions in asymptotic safety?
- A critical look at -function singularities at large
- Fixed Points in Supersymmetric Extensions of the Standard Model