CP Violation in a Left-Right Symmetric Theory

Abstract

Recently Sanda and DeshpandeJ) have shown that the Weinberg model 2 ) for two quark doublets of CP nonconservation through charged Higgs boson exchange and based on natural flavor conservation gives an unacceptably large value for the CP violation parameter E' / E, so that the model can probably be ruled out. Therefore it seems to' compel one to accept the KobayashiMaskawa mixing matrix for three quark doublets ) as a powerful candidate responsible for CP nonconservation. This mixing matrix is complex and contains a CP violation phase in itself, and hence the source of CP violation is hidden behind this assumed phase. On the other hand, the Weinberg model reduces the CP violation exclusively to the Higgs sector, allowing for the possibility that CP is a spontaneously broken symmetry. We keep this property, but we analyze, in this paper, the CP violation by the quark-Higgs-boson-interaction') of a left-right symmetric theory of the gauge group, G = SU(2hx SU(2)RX SU(3)color. We use a left-right symmetric interaction Lagrangian between Higgs bosons and quarks')