CKM matrix and flavor symmetries
| Autor: | Takeshi Araki, Atsushi Ogasahara, Hajime Ishimori, Hiroyuki Ishida, Tatsuo Kobayashi |
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| Rok vydání: | 2013 |
| Předmět: |
Quark
Physics Nuclear and High Energy Physics Particle physics Series (mathematics) Cabibbo–Kobayashi–Maskawa matrix High Energy Physics::Phenomenology Zero (complex analysis) Order (ring theory) FOS: Physical sciences High Energy Physics - Phenomenology High Energy Physics - Phenomenology (hep-ph) Homogeneous space High Energy Physics::Experiment Symmetry (geometry) Group theory Mathematical physics |
| DOI: | 10.48550/arxiv.1309.4217 |
| Popis: | Following the way proposed recently by Hernandez and Smirnov, we seek possible residual symmetries in the quark sector with a focus on the von Dyck groups. We begin with two extreme cases in which both $\theta_{13}$ and $\theta_{23}$ or only $\theta_{13}$ are set to zero. Then, cases where all the Cabibbo-Kobayashi-Maskawa parameters are allowed to take nonzero values are explored. The $Z_7$ symmetry is favorable to realize only the Cabibbo angle. On the other hand, larger groups are necessary in order to be consistent with all the mixing parameters. Possibilities of embedding the obtained residual symmetries into the $\Delta(6N^2)$ series are also briefly discussed. Comment: 15 pages, 6 figures, version to appear in PRD |
| Databáze: | OpenAIRE |
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