Breaking of flavor permutational symmetry and the CKM matrix

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Determination Of Kobayashi-Maskawa Matrix Elements, Charge Conjugation, Parity, Time Reversal, And Other Discrete Symmetries, Spontaneous And Radiative Symmetry Breaking

Scientific paper

Different ansätze for the breaking of the flavor permutational symmetry according to SL(3)⊗SR(3)⊃SL(2)⊗SR(2) give different Hermitian mass matrices which differ in the symmetry breaking pattern. In this work we obtain a clear and precise indication on the preferred symmetry breaking pattern. The preferred pattern allows us to compute the CKM mixing matrix, the Jarlskog invariant J, and the three inner angles of the unitarity triangle in terms of four quark mass ratios and the CP violating phase Φ. Excellent agreement with the experimentally determined absolute values of the entries in the CKM matrix is obtained for φ=90°. The corresponding computed values of the Jarlskog invariant and the inner angles are J=3.00×10-5, α=84°, β=24° and γ=72° in very good agreement with current data on CP violation in the neutral kaon-antikaon system and oscillations in the Bs°-Bs° system.

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