Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-06-18
Phys.Rev. D61 (2000) 113002
Physics
High Energy Physics
High Energy Physics - Phenomenology
25 pages, we added an estimation of a reasonable range of values for the quark mass ratios and the corresponding quark mixing
Scientific paper
10.1103/PhysRevD.61.113002
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.
Mondragon Antonio
Rodriguez-Jauregui E.
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