Prediction of the CP violation in the Phenomenological Quark-Lepton Mass Matrix Approach

Original · EN

We explore the phenomenological quark-lepton mass matrices, which are devised following the S₃ flavour symmetry principle, yet fully consistent with SU(5) gauge models with the Higgs particles of 5, 45 and their conjugates. The model contains 10 free parameters altogether. When 6 parameters are fixed by charge 2/3 quark and charged lepton masses, charge(-1/3) quark masses and all quark mixing matrix elements are predicted to be close to experiment, leaving some narrow ranges still as freedom. Further specification of 3 more parameters (using, md, Cabibbo angle and |Vcb|) suffices to fix the quark mixing matrix nearly completely, and all elements come out to be in accurate agreement with experiment. We obtain the CP violation phase as a prediction.