Abstract

Deshpande, Gupta, and Pal neglected the presence of a complex phase in the mass matrix and in the Yukawa coupling matrices of the down-type quarks. I argue that that phase should not be neglected, because it can explain the observed CP violation. Though its effects are negligible in the mass matrix, they are not negligible in the Yukawa coupling matrices. The mechanism of CP violation considered by those authors may certainly be present, but for simplicity one may want to eliminate it by restricting the soft-breaking sector of the Higgs potential in such a way that complex Higgs-boson propagators do not occur. Then, CP violation originates in the exchange of scalar and pseudoscalar Higgs bosons, which have complex Yukawa couplings, but the scalars do not mix with the pseudoscalars.

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