The breaking of the flavour permutational symmetry: Mass textures and the CKM matrix

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Abstract
Different ansaetze for the breaking of the flavour permutational symmetry according to S(3)L X S(3)R in S(2)L X S(2)R give different Hermitian mass matrices of the same modified Fritzsch type which are classified in terms of an auxiliary S(2) which is not a subgroup of S(3)L X S(3)R. A fit of the predicted theoretical Vckm to the experimentally determined absolute values of the elements of the CKM matrix gives a clear and precise indication on the preferred symmetry breaking scheme. The preferred scheme leads to simple mass textures and allows us to compute the CKM mixing matrix in terms of four quark mass ratios and only one free parameter: the CP violating phase Phi. Excellent agreement with the experimentally determined absolute values of the entries in the CKM matrix is obtained for Phi = 76.8 deg. The corresponding computed value of the Jarlskog invariant is J = -2.18 10^-5 in very good agreement with current data on CP violation in the neutral kaon-antikaon system.

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