$\epsilon'/\epsilon$ And Anomalous Gauge Boson Couplings

Abstract

We study $\epsilon'/\epsilon$ in the Standard Model and $\epsilon'/\epsilon$ due to anomalous $WW\gamma$ and $WWZ$ interactions %using recent result on the top quark mass from CDF. as a function of the top quark mass. In the Standard Model, $\epsilon'/\epsilon$ is in the range $10^{-3} \sim 10^{-4}$ for the central value of top quark mass reported by CDF. The anomalous gauge couplings can have large contributions to the $CP$ violating $I=2$ amplitude in $K \rightarrow \pi\pi$. Within the allowed regions for the anomalous gauge couplings, $\epsilon'/\epsilon$ can be dramatically different from the standard model prediction.