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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Bibliographic Details
Published inAdvances in High Energy Physics Vol. 2020; no. 2020; pp. 1 - 8
Main Authors Kuo, T. K., Chiu, S. H.
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 2020
Hindawi
John Wiley & Sons, Inc
Hindawi Limited
Wiley
Subjects
Analysis
Couplings
Fermions
Flavor (particle physics)
Group theory
Linear algebra
Mass matrix
Matrix methods
Neutrinos
Permutations
Quarks
Symmetry
Tensors
Variables
Iran
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Summary: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.
ISSN:1687-7357
1687-7365
DOI:10.1155/2020/2491897