Renormalization-group analysis of the Kobayashi-Maskawa matrix

The one-loop renormalization-group equations for the quark mixing (Kobayashi-Maskawa) matrixV are derived, independent of one's weak interaction basis, in the standard model as well as in its two Higgs and supersymmetric extensions, and their numerical solutions are presented. While the mixing angles |V _ub |, |V _cb |, |V _td | and the phase-invariant measure of CP nonconservationJ all vary slowly with momentum, in the standard model they are predicted to increase in clear contrast to the two Higgs and supersymmetric extensions where they decrease with momentum.