${ϵ}^{\prime }/ϵ$ And Anomalous Gauge Boson Couplings

Abstract

We study ${ϵ}^{\prime }/ϵ$ in the Standard Model and ${ϵ}^{\prime }/ϵ$ 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, ${ϵ}^{\prime }/ϵ$ 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 $K\to \pi \pi$. Within the allowed regions for the anomalous gauge couplings, ${ϵ}^{\prime }/ϵ$ can be dramatically different from the standard model prediction.

Comments: 17 pages plus one figure (available from the author upon request), Revtex, OITS-541, UM-P-94/47