Breaking of flavor permutational symmetry and the CKM matrix

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Determination Of Kobayashi-Maskawa Matrix Elements, Quark And Lepton Masses And Mixing, Charge Conjugation, Parity, Time Reversal, And Other Discrete Symmetries

Scientific paper

The phase equivalence of the theoretical quark mixing matrix Vth derived from the breaking of the flavor permutational symmetry and the standard parameterization VPDG advocated by the Particle Data Group is explicity exhibited. From here, we derive exact explicit expressions for the three mixing angles θ12,θ13,θ23, and the CP violating phase δ13 in terms of the quark mass ratios (mu/mt,mc/mt,md/mb,ms/mb) and the parameters Z*1/2 and Φ* characterizing the preferred symmetry breaking pattern. The computed values for the CP violating phase and the mixing angles are: δ13*=75°, sin θ12*=0.221, sin θ13*=0.0034, and sin θ23*=0.040, which coincide almost exactly with the central values of the experimentally determined quantities. .

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