Composite Weak Bosons in a Confining Gauge Theory without Goldstone Bosons: a Strong Coupling Expansion Analysis

TL;DR

This paper explores a confining gauge theory model without Goldstone bosons as a potential description of weak interactions, analyzing its bound state spectrum through strong coupling expansion to identify possible composite W-bosons.

Contribution

It provides a strong coupling analysis suggesting the vector isotriplet could serve as a composite W-boson in a Goldstone-free confining gauge theory.

Findings

Vector isotriplet may be the lightest state under certain conditions

Raising pseudoscalar isosinglet mass affects the spectrum

Supports further lattice Monte Carlo studies

Abstract

We consider a confining Yang-Mills theory without Goldstone Bosons which could describe the bosonic sector of the weak interactions. This model can be gauge invariantly regularized on a lattice. A strong coupling analysis of the low lying bound state spectrum indicates that the vector isotriplet bound state (the right quantum number to represent the W-boson) could be the lightest state if the mass of the pseudoscalar isosinglet is raised sufficiently by the effect of the chiral anomaly (in analogy to the $\eta'$ mechanism of QCD). This work is a preliminary study in support to an intensive lattice Monte Carlo analysis of the model.