The CKM matrix from a scheme of flavour symmetry breaking.

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Charge Conjugation, Parity, Time Reversal, And Other Discrete Symmetries, Spontaneous And Radiative Symmetry Breaking

Scientific paper

A theoretical |VCKMth| mixing matrix which is a function of the four mass ratios and the CP violating phase α is derived from a simple scheme for breaking the flavour permutational symmetry. We assumed that the symmetry breaking pattern is the same in the u and d-sectors, and imposed a phenomenologically motivated constraint on the amount of mixing of singlet and doublet irreducible representations of S(3)L⊗S(3)R. A χ2 fit of the matrix of the absolute values |VCKMth| to the experimentally determined |VCKMexp| gives the best value for α=76.7° and the value Jth=-2.18×10-5 for the Jarlskog invariant in good agreement with the experimental values. The agreement between |VCKMth| and |VCKMexp| is also very good with χ2=0.28.

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