An advanced precision analysis of the SM vacuum stability

TL;DR

This paper provides a comprehensive analysis of the Standard Model vacuum stability, emphasizing high-order corrections and the renormalization-group approach to determine stability bounds on Higgs and top-quark masses.

Contribution

It introduces a gauge-independent method for deriving absolute stability bounds using three-loop analysis and discusses the impact of high-order corrections and new physics on vacuum stability.

Findings

High-order corrections significantly affect stability bounds.

The renormalization-group approach enables precise three-loop analysis.

Potential metastability of the Standard Model is discussed.

Abstract

The talk is devoted to the problem of stability of the Standard Model vacuum. The effective potential for the Higgs field, which can potentialy exhibit additional, deeper minimum, is considered as a convenient tool for addressing the problem. Different methods and approximations used to calculate the potential are considered. Special attention is paid to the renomalization-group approach that allows one to carry out three-loop analysis of the problem. By means of an explicit gauge-independent procedure the absolute stability bounds on the observed Higgs and top-quark masses are derived. The importance of high-order corrections is demonstrated. In addition, potential metastablity of the SM is discussed together with modifications of the analysis due to some New Physics.