Unique horizontal symmetry of leptons

By C. Lam. 2008

201 citations recorded by the source corpus.

There is a group-theoretical connection between fermion mixing matrices and minimal horizontal symmetry groups. Applying this connection to the tribimaximal neutrino mixing matrix, we show that the minimal horizontal symmetry group for leptons is uniquely S{sub 4}, the permutation group of four objects.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/ada665d6d4ecc07c66533f94f17cd20f78a9d4bd

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In Nuclear and High Energy Physics

1. Z. Xing
2. F. Feruglio
3. Guido Altarelli
4. L. Merlo
5. S. King
6. S. Petcov
7. Igor P. Ivanov
8. Y. Lin

Citations in the corpus

• Flavor structures of charged fermions and massive neutrinos (2019, methodology): “In comparison with A4, the flavor symmetry group S4 is the unique finite group capable of yielding the tribimaximal flavor mixing pattern for all the Yukawa couplings [462, 974].”
• Revisiting Bimaximal Neutrino Mixing in a Model with S(4) Discrete Symmetry (2009, background): “[13], the claim was made that, in order to obtain the TB mixing ”without fine tuning”, the unique finite group must be S4 or a larger group containing S4.”