Remarks on an Anomalous Triple Gauge Boson Couplings

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 $SU{\left(2\right)}_L\otimes U{\left(1\right)}_Y$ symmetry is spontaneously broken by the Higgs mechanism to $U{\left(1\right)}_{em}$ . Our calculation is done within the framework of the gauge-invariant, but path-dependent variable formalism is an 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.