Democratic Mass Matrices from Broken $O(3)_L\times O(3)_R$ Flavor Symmetry

Details Democratic Mass Matrices from Broken $O(3)_L\times O(3)_R$ Flavor Symmetry Democratic Mass Matrices from Broken $O(3)_L\times O(3)_R$ Flavor Symmetry

1999-04-15

arxiv.org/abs/hep-ph/9904338v2

Phys.Lett.B461:345-351,1999

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, LaTex file, No figures, minor corrections

Scientific paper

10.1016/S0370-2693(99)00871-0

We impose $O(3)_L\times O(3)_R$ flavor symmetry in the supersymmetric standard model. Three lepton doublets $\ell_i$ transform as an $O(3)_L$ triplet and three charged leptons $\bar e_i$ as an $O(3)_R$ triplet, while Higgs doublets $H$ and $\bar H$ are $O(3)_L\times O(3)_R$ singlets. We discuss a flavor $O(3)_L\times O(3)_R$ breaking mechanism that leads to "successful" phenomenological mass matrices, so-called "democratic" ones, in which the large $\n_\mu-\n_\tau$ mixing is naturally obtained. Three neutrinos have nearly degenerate masses of order $0.1\eV$ which may be accesible to future double $\b$-decay experiments. We extend our approach to the quark sector and show that it is well consistent with the observed quark mass hierarchies and the CKM matrix elements. However, the large mass of the top quark requires a relatively large coupling. constant.

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