Remarks on an anomalous triple gauge boson couplings

TL;DR

This paper investigates how anomalous triple gauge boson couplings influence the confinement potential in the electroweak sector, revealing their contribution to confinement at nuclear distances within a gauge-invariant formalism.

Contribution

It introduces a gauge-invariant, path-dependent variable formalism to analyze the effects of anomalous couplings on confinement, highlighting their role in the electroweak interactions.

Findings

Interaction energy combines Yukawa and linear potentials.

Anomalous couplings contribute to confinement at nuclear scales.

Potential implications for understanding electroweak interactions.

Abstract

We address the effect of an anomalous triple gauge boson couplings on a physical observable for the electroweak sector of the Standard Model, when the $SU(2)_{L}\otimes U(1)_{Y}$ symmetry is spontaneously broken by the Higgs mechanism to $U(1)_{em}$. Our calculation is done within the framework of the gauge-invariant, but path-dependent variable formalism which is alternative to the Wilson loop approach. Our result shows that the interaction energy is the sum of a Yukawa and a linear potential, leading to the confinement of static probe charges. The point we wish to emphasize, however, is that the anomalous triple gauge boson couplings ($Z \gamma \gamma$) contributes to the confinement for distances on the intranuclear scale.