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The Unique Horizontal Symmetry of Leptons

C. S. Lam

Abstract: There is a group-theoretical connection between fermion mixing matrices and minimal horizontal symmetry groups. Applying this connection to the tri-bimaximal neutrino mixing matrix, we show that the minimal horizontal symmetry group for leptons is uniquely $S_4$, the permutation group of four objects.

Submitted to arXiv on 06 Sep. 2008