Tricritical Point in Quantum Phase Transitions of the Coleman-Weinberg Model at Higgs Mass

TL;DR

This paper investigates the tricritical point in the four-dimensional Coleman-Weinberg model, comparing it to three-dimensional results, and discusses its implications for the Higgs sector in the Standard Model based on recent experimental data.

Contribution

It derives the position of the tricritical point in the Coleman-Weinberg model and relates it to the Standard Model Higgs sector, highlighting its potential significance.

Findings

The tricritical point position matches the Thomas-Fermi approximation.

Differences and similarities with 3D results are analyzed.

Implications for electroweak interactions are discussed.

Abstract

The tricritical point, which separates first and second order phase transitions in three-dimensional superconductors, is studied in the four-dimensional Coleman-Weinberg model, and the similarities as well as the differences with respect to the three-dimensional result are exhibited. The position of the tricritical point in the Coleman-Weinberg model is derived and found to be in agreement with the Thomas-Fermi approximation in the three-dimensional Ginzburg-Landau theory. From this we deduce a special role of the tricritical point for the Standard Model Higgs sector in the scope of the latest experimental results, which suggests the unexpected relevance of tricritical behavior in the electroweak interactions.