Standard Model Vacuum Stability and Weyl Consistency Conditions

TL;DR

This paper explores the quantum conformal symmetry of the Standard Model through Weyl consistency conditions, demonstrating their satisfaction in perturbation theory and analyzing implications for vacuum stability at high energies.

Contribution

It introduces a coupling constant counting scheme that ensures Weyl consistency conditions are satisfied order by order in perturbation theory.

Findings

Weyl consistency conditions can be satisfied perturbatively with a suitable scheme

The study provides a more consistent analysis of Standard Model vacuum stability

Comparison shows previous violations of Weyl conditions affect stability conclusions

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.