The Horizontal Symmetry for Neutrino Mixing

Details The Horizontal Symmetry for Neutrino Mixing The Horizontal Symmetry for Neutrino Mixing

2008-04-16

arxiv.org/abs/0804.2622v2

Phys.Rev.Lett.101:121602,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

version to appear in Phys. Rev. Letts.: one reference added and some slight rephrasing of sentences

Scientific paper

10.1103/PhysRevLett.101.121602

We argue that the best way to determine horizontal symmetry is from neutrino mixing, and proceed to show that the only finite group capable of yielding the tri-bimaximal mixing for all Yukawa couplings is $S_4$, or any group containing it. The method used is largely group theoretical, but it can be implemented by dynamical schemes in which the Higgs expectation values introduced to break $S_4$ spontaneously are uniquely determined up to an unknown scale for each.

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