The phase equivalence of the theoretical mixing matrix ${ \bf V}^{ th}$ derived from the breaking of the flavour permutational symmetry and the standard parametrization ${ \bf V}^{ PDG}$ advocated by the Particle Data Group is explicitly exhibited. From here, we derive exact explicit expressions for the three mixing angles $\theta_{ 12}$, $\theta_{ 13}$, $\theta_{ 23}$, and the CP violating phase $\delta_{ 13}$ in terms of the quark mass ratios $(m_{ u}/m_{ t}, m_{ c}/m_{ t}, m_{ d}/m_{ b}, m_{ s}/m_{ b})$ and the parameters $Z^{ *1/2}$ and $\Phi^*$ characterizing the preferred symmetry breaking pattern. The computed values for the CP violating phase and the mixing angles are: $\delta^*_{ 13}=75^\circ$, $\sin\theta^*_{ 12}=0.221$, $\sin\theta^*_{ 13}=0.0034$, and $\sin\theta^*_{ 23}=0.040$, which coincide almost exactly with the central values of the experimentally determined quantities.
Categories: hep-ph