Almost exact diagonal reflection symmetries and three-zero texture
In this paper, we consider the three-zero texture with diagonal reflection symmetries in the SM. The three-zero texture has two less assumptions ((Mu)11,(Mν)11≠0) than the universal four-zero texture of mass matrices (Mf)11=(Mf)13,31=0 for f=u,d,ν,e. The texture allows diagonal reflection symmetries...
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2021-11-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321321002467 |
| _version_ | 1818826479937519616 |
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| author | Masaki J.S. Yang |
| author_facet | Masaki J.S. Yang |
| author_sort | Masaki J.S. Yang |
| collection | DOAJ |
| description | In this paper, we consider the three-zero texture with diagonal reflection symmetries in the SM. The three-zero texture has two less assumptions ((Mu)11,(Mν)11≠0) than the universal four-zero texture of mass matrices (Mf)11=(Mf)13,31=0 for f=u,d,ν,e. The texture allows diagonal reflection symmetries to be almost exact and d-e unification. They reproduce the CKM and MNS matrices with accuracies of O(10−4) and O(10−3). By using perturbative approximations of the diagonalization, two relations with good accuracy for quark mass and mixing are obtained. Although this calculation is done in a special basis, it is a general result in a sense, because other textures and generalized CP symmetries exist by some weak basis transformation.By assuming a d-e unified relation (Md∼Me), we obtain the lightest neutrino mass m1≃2.12−5.64[meV] and the effective mass of the double beta decay |mee|≃1.23−2.15[meV]. |
| first_indexed | 2024-12-19T00:28:19Z |
| format | Article |
| id | doaj.art-ac465e50cda84ac18466834749fc6800 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-12-19T00:28:19Z |
| publishDate | 2021-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-ac465e50cda84ac18466834749fc68002022-12-21T20:45:11ZengElsevierNuclear Physics B0550-32132021-11-01972115549Almost exact diagonal reflection symmetries and three-zero textureMasaki J.S. Yang0Department of Physics, Saitama University, Shimo-okubo, Sakura-ku, Saitama, 338-8570, JapanIn this paper, we consider the three-zero texture with diagonal reflection symmetries in the SM. The three-zero texture has two less assumptions ((Mu)11,(Mν)11≠0) than the universal four-zero texture of mass matrices (Mf)11=(Mf)13,31=0 for f=u,d,ν,e. The texture allows diagonal reflection symmetries to be almost exact and d-e unification. They reproduce the CKM and MNS matrices with accuracies of O(10−4) and O(10−3). By using perturbative approximations of the diagonalization, two relations with good accuracy for quark mass and mixing are obtained. Although this calculation is done in a special basis, it is a general result in a sense, because other textures and generalized CP symmetries exist by some weak basis transformation.By assuming a d-e unified relation (Md∼Me), we obtain the lightest neutrino mass m1≃2.12−5.64[meV] and the effective mass of the double beta decay |mee|≃1.23−2.15[meV].http://www.sciencedirect.com/science/article/pii/S0550321321002467 |
| spellingShingle | Masaki J.S. Yang Almost exact diagonal reflection symmetries and three-zero texture Nuclear Physics B |
| title | Almost exact diagonal reflection symmetries and three-zero texture |
| title_full | Almost exact diagonal reflection symmetries and three-zero texture |
| title_fullStr | Almost exact diagonal reflection symmetries and three-zero texture |
| title_full_unstemmed | Almost exact diagonal reflection symmetries and three-zero texture |
| title_short | Almost exact diagonal reflection symmetries and three-zero texture |
| title_sort | almost exact diagonal reflection symmetries and three zero texture |
| url | http://www.sciencedirect.com/science/article/pii/S0550321321002467 |
| work_keys_str_mv | AT masakijsyang almostexactdiagonalreflectionsymmetriesandthreezerotexture |