Mass matrix in the Higgs-boson model ofCPviolation

Abstract

The box diagrams contributing to the $\mathrm{CP}$-odd part ($m^{\prime }$) of the kaon mass matrix in the Weinberg model of $\mathrm{CP}$ violation are evaluated with careful inclusion of external momenta. The contributions from diagrams with exchange of two Higgs bosons are found to be significant although generally somewhat smaller than those involving one Higgs and one $W$ boson. A phenomenological analysis of $\mathrm{CP}$-violating kaon decay is carried out, using as parameters the Higgs-boson mixing angles, the $\mathrm{CP}$-violating decay amplitude (presumably due to Higgs-boson penguin diagrams), and the corresponding dispersive contribution to $m^{\prime }$.