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Is the Cabibbo - Kobayashi - Maskawa matrix symmetric at the GUT scale?

Is the Cabibbo - Kobayashi - Maskawa matrix symmetric at the GUT scale?

By use of the one-loop renormalization group equations and current experimental data, we study the off-diagonal asymmetries of the Cabibbo - Kobayashi - Maskawa (CKM) matrix at the GUT scale in the framework of the standard model as well as its two Higgs and supersymmetric extensions. It is concluded that …