Symmetry of lepton mixing
By C. Lam. 2007
153 citations recorded by the source corpus.
Abstract Neutrino mixing is studied from a symmetry perspective, both bottom–up and top–down. In the bottom–up approach, we start from the tri–bimaximal mixing, or one of its three partial patterns, and construct a list of horizontal symmetry groups capable of reproducing the mixing without adjustment of parameters. This list, labeled by an integer n ⩾ 3 , is explicitly calculated for n = 3 . In the top–down approach, we start from any finite group possessing a three-dimensional irreducible representation and an order-2 element, give a recipe to determine what mixing pattern it contains, and how to construct a dynamical model to reveal a particular mixing. Finally, we point out that if quark mixing is controlled by symmetry in this way, then there is an exciting possibility to determine most of the CKM mixing parameters by symmetry alone.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/18cb5eeb8926e2faa025feec56f62aa94227584a
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In Nuclear and High Energy Physics
Citations in the corpus
- Flavor structures of charged fermions and massive neutrinos (2019, background): “Behind the special flavor structure of Ml or Mν should be a kind of residual flavor symmetry arising from the breaking of a larger flavor symmetry [926, 927, 928].”