Static Potential of the Standard Model and Spontaneously Broken Theories

TL;DR

This paper calculates the static potential in the Standard Model and similar theories with spontaneous symmetry breaking, comparing methods and discussing limitations, to enhance understanding of gauge interactions in complex models.

Contribution

It provides a one-loop calculation of the static potential in the Standard Model using Wilson loop and scattering amplitude methods, highlighting their advantages and limitations.

Findings

Calculated the static potential at one-loop order in the Standard Model.

Compared Wilson loop and scattering amplitude approaches.

Discussed the applicability to a wide range of models with similar field content.

Abstract

We consider the static potential in theories exhibiting spontaneous symmetry breaking. We use our findings to calculate the static potential of the Standard Model at one-loop order. We do so in both the Wilson loop and scattering amplitude approaches and discuss the limitations of the Wilson loop approach. As the field content of the SM is extensive, analogous results to ours in a large set of models is now achievable by varying the appropriate couplings and group theory factors.