New Partial Symmetries from Group Algebras for Lepton Mixing
Recent stringent experiment data of neutrino oscillations induces partial symmetries such as Z2 and Z2×CP to derive lepton mixing patterns. New partial symmetries expressed with elements of group algebras are studied. A specific lepton mixing pattern could correspond to a set of equivalent elements...
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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/10.1155/2020/3967605 |
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| _version_ | 1832555094508306432 |
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| author | Shu-Jun Rong |
| author_facet | Shu-Jun Rong |
| author_sort | Shu-Jun Rong |
| collection | DOAJ |
| description | Recent stringent experiment data of neutrino oscillations induces partial symmetries such as Z2 and Z2×CP to derive lepton mixing patterns. New partial symmetries expressed with elements of group algebras are studied. A specific lepton mixing pattern could correspond to a set of equivalent elements of a group algebra. The transformation which interchanges the elements could express a residual CP symmetry. Lepton mixing matrices from S3 group algebras are of the trimaximal form with the μ−τ reflection symmetry. Accordingly, elements of S3 group algebras are equivalent to Z2×CP. Comments on S4 group algebras are given. The predictions of Z2×CP broken from the group S4 with the generalized CP symmetry are also obtained from elements of S4 group algebras. |
| format | Article |
| id | doaj-art-1746d9ba2e5546cbb8170cff2d88ae33 |
| 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-1746d9ba2e5546cbb8170cff2d88ae332025-02-03T05:49:30ZengWileyAdvances in High Energy Physics1687-73571687-73652020-01-01202010.1155/2020/39676053967605New Partial Symmetries from Group Algebras for Lepton MixingShu-Jun Rong0College of Science, Guilin University of Technology, Guilin, Guangxi 541004, ChinaRecent stringent experiment data of neutrino oscillations induces partial symmetries such as Z2 and Z2×CP to derive lepton mixing patterns. New partial symmetries expressed with elements of group algebras are studied. A specific lepton mixing pattern could correspond to a set of equivalent elements of a group algebra. The transformation which interchanges the elements could express a residual CP symmetry. Lepton mixing matrices from S3 group algebras are of the trimaximal form with the μ−τ reflection symmetry. Accordingly, elements of S3 group algebras are equivalent to Z2×CP. Comments on S4 group algebras are given. The predictions of Z2×CP broken from the group S4 with the generalized CP symmetry are also obtained from elements of S4 group algebras.http://dx.doi.org/10.1155/2020/3967605 |
| spellingShingle | Shu-Jun Rong New Partial Symmetries from Group Algebras for Lepton Mixing Advances in High Energy Physics |
| title | New Partial Symmetries from Group Algebras for Lepton Mixing |
| title_full | New Partial Symmetries from Group Algebras for Lepton Mixing |
| title_fullStr | New Partial Symmetries from Group Algebras for Lepton Mixing |
| title_full_unstemmed | New Partial Symmetries from Group Algebras for Lepton Mixing |
| title_short | New Partial Symmetries from Group Algebras for Lepton Mixing |
| title_sort | new partial symmetries from group algebras for lepton mixing |
| url | http://dx.doi.org/10.1155/2020/3967605 |
| work_keys_str_mv | AT shujunrong newpartialsymmetriesfromgroupalgebrasforleptonmixing |