Implications of sigma models in the standard model and beyond

TL;DR

This paper explores the role of sigma models in the Standard Model and beyond, highlighting their usefulness in analyzing weak processes, the Higgs sector, and potential new physics effects.

Contribution

It demonstrates the applicability of sigma models to various aspects of the Standard Model and extends their relevance to new physics searches.

Findings

Sigma models help analyze the $ ext{Δ} I=1/2$ rule in weak processes.

They provide insights into the Higgs sector.

Useful in searching for new physics via gauge boson self-interactions.

Abstract

After a brief introduction to the sigma model in QCD, we discuss how the sigma model can be relevant in the Standard Model. It is shown to be useful in the analysis of weak processes, such as the study of $\Delta {I} = 1/2$ rule, and in the analysis of the Higgs sector as well. The sigma model description is also shown to be quite useful in searching for the effects of New Physics via gauge boson self-interactions.