The Flavor Symmetry
By J. Kubo, A. Mondragon, M. Mondragón, E. Rodŕiguez-Jáuregui. 2003
178 citations recorded by the source corpus.
Assuming that the lepton, quark and Higgs fields belong to the three-dimensional reducible representation of the permutation group S 3 , we suggest a minimal S 3 invariant extension of the standard model. We find that in the leptonic sector, the exact S 3 × Z 2 symmetry, which allows 6 real independent parameters, is consistent with experimental data and predicts the bi-maximal mixing of the left-handed neutrinos and that the third neutrino is the lightest neutrino. Z 2 is anomaly-free, but it forbids CP-violations in the leptonic, as well as in the hadronic sector. Therefore, the origin of CP-violations can be identified with the breaking of the Z 2 symmetry, which may be understood in a more fundamental theory. With the exact S 3 only, there are 10 real independent parameters and one independent phase, on which the Cabibbo-Kobayashi-Maskawa mixing matrix V C K M depends. A set of values of these parameters that are consistent with experimental observations is given.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/61c04b1acf4b060c2991c7ded0ed328ee275f12b
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In Nuclear and High Energy Physics
Citations in the corpus
- Flavor structures of charged fermions and massive neutrinos (2019, background): “In fact, a more realistic model-building exercise based on the S3 flavor symmetry group usually requires an extra symmetry to reduce the number of free parameters or assumes a specific way of breaking S3 symmetry spontaneously and softly [958, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971].”