Standard Model Vacuum Stability and Weyl Consistency Conditions

Abstract

At high energy the standard model possesses conformal symmetry at the classical level. This is reflected at the quantum level by relations between the different beta functions of the model. These relations are known as the Weyl consistency conditions. We show that it is possible to satisfy them order by order in perturbation theory, provided that a suitable coupling constant counting scheme is used. As a direct phenomenological application, we study the stability of the standard model vacuum at high energies and compare with previous computations violating the Weyl consistency conditions.

RevTeX, 13 pages, 5 figures

References in corpus (1)

• Anomalous dimensions of gauge fields and gauge coupling beta-functions in the Standard Model at three loops

Cited by in corpus (45)

• Investigating the near-criticality of the Higgs boson
• Asymptotic safety guaranteed
• Cosmological Aspects of Higgs Vacuum Metastability
• Strong phase transition, dark matter and vacuum stability from simple hidden sectors
• Inflationary Imprints on Dark Matter
• Selected Topics in the Large Quantum Number Expansion
• On the gauge dependence of the Standard Model vacuum instability scale
• Higgs Inflation at NNLO after the Boson Discovery
• Asymptotically Safe Standard Model via Vector-Like Fermions
• Four-loop strong coupling beta-function in the Standard Model
• Constraints on 3- and 4-loop $\beta$-functions in a general four-dimensional Quantum Field Theory
• Conformal Extensions of the Standard Model with Veltman Conditions
• UV conformal window for asymptotic safety
• Conformal Behavior at Four Loops and Scheme (In)Dependence
• Four-Loop Gauge and Three-Loop Yukawa Beta-Functions in a General Renormalizable Theory
• A safe CFT at large charge
• The a-function for gauge theories
• Quantum Critical Behaviour of Semi-Simple Gauge Theories
• Removing the gauge parameter dependence of the effective potential by a field redefinition
• Protecting the Stability of the EW Vacuum from Planck-Scale Gravitational Effects
• Impact of New Physics on the EW vacuum stability in a curved spacetime background
• Renormalization-Group Flows and Fixed Points in Yukawa Theories
• Untangling scaling dimensions of fixed charge operators in Higgs Theories
• Vacuum stability conditions of the economical 3-3-1 model from copositivity
• On Ambiguities and Divergences in Perturbative Renormalization Group Functions
• In search of a UV completion of the Standard Model - 378.000 models that don't work
• The a-function in three dimensions: beyond leading order
• Stable Extensions with(out) Gravity
• Thermodynamics of asymptotically safe theories
• Non-perturbative fixed points and renormalization group improved effective potential
• An asymptotically safe SU(5) GUT
• Four-Fermion Limit of Gauge-Yukawa Theories
• Inflation and pseudo-Goldstone Higgs boson
• Conformal Data of Fundamental Gauge-Yukawa Theories
• Conformal Phase Diagram of Complete Asymptotically Free Theories
• Dynamical Symmetry Breaking in Chiral Gauge Theories with Direct-Product Gauge Groups
• Asymptotic safety in the Litim-Sannino model at four loops
• Is the Higgs Boson Composed of Neutrinos?
• Weyl Consistency Conditions from a local Wilsonian Cutoff
• Gradient flows in three dimensions
• Theoretical constraints on scalar parameters in the compact 341 model
• The high energy fate of the minimal Goldstone Higgs
• Gradient Flow and Holography from a Local Wilsonian Cutoff
• Gradient flows for $\beta$ functions via multi-scale renormalization group equations
• General Gauge-Yukawa-Quartic $\beta$-Functions at 4-3-2--Loop Order