Flavor Mixing and the Permutation Symmetry among Generations
In the standard model, the permutation symmetry among the three generations of fundamental fermions is usually regarded to be broken by the Higgs couplings. It is found that the symmetry is restored if we include the mass matrix parameters as physical variables which transform appropriately under th...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/2491897 |
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| _version_ | 1832559190884745216 |
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| author | T. K. Kuo S. H. Chiu |
| author_facet | T. K. Kuo S. H. Chiu |
| author_sort | T. K. Kuo |
| collection | DOAJ |
| description | In the standard model, the permutation symmetry among the three generations of fundamental fermions is usually regarded to be broken by the Higgs couplings. It is found that the symmetry is restored if we include the mass matrix parameters as physical variables which transform appropriately under the symmetry operation. Known relations between these variables, such as the renormalization group equations, as well as formulas for neutrino oscillations (in vacuum and in matter), are shown to be covariant tensor equations under the permutation symmetry group. |
| format | Article |
| id | doaj-art-17cc23a0f07841c19f86a3c0f390d432 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-17cc23a0f07841c19f86a3c0f390d4322025-02-03T01:30:31ZengWileyAdvances in High Energy Physics1687-73571687-73652020-01-01202010.1155/2020/24918972491897Flavor Mixing and the Permutation Symmetry among GenerationsT. K. Kuo0S. H. Chiu1Department of Physics, Purdue University, West Lafayette, IN 47907, USAPhysics Group, CGE, Chang Gung University, Taoyuan 33302, TaiwanIn the standard model, the permutation symmetry among the three generations of fundamental fermions is usually regarded to be broken by the Higgs couplings. It is found that the symmetry is restored if we include the mass matrix parameters as physical variables which transform appropriately under the symmetry operation. Known relations between these variables, such as the renormalization group equations, as well as formulas for neutrino oscillations (in vacuum and in matter), are shown to be covariant tensor equations under the permutation symmetry group.http://dx.doi.org/10.1155/2020/2491897 |
| spellingShingle | T. K. Kuo S. H. Chiu Flavor Mixing and the Permutation Symmetry among Generations Advances in High Energy Physics |
| title | Flavor Mixing and the Permutation Symmetry among Generations |
| title_full | Flavor Mixing and the Permutation Symmetry among Generations |
| title_fullStr | Flavor Mixing and the Permutation Symmetry among Generations |
| title_full_unstemmed | Flavor Mixing and the Permutation Symmetry among Generations |
| title_short | Flavor Mixing and the Permutation Symmetry among Generations |
| title_sort | flavor mixing and the permutation symmetry among generations |
| url | http://dx.doi.org/10.1155/2020/2491897 |
| work_keys_str_mv | AT tkkuo flavormixingandthepermutationsymmetryamonggenerations AT shchiu flavormixingandthepermutationsymmetryamonggenerations |