Consequences of Approximate $S_3$ Symmetry of the Neutrino Mass Matrix

Abstract

Assuming that the neutrino mass matrix is dominated by a term with the permutation symmetry $S_3$ it is possible to explain neutrino data only if the masses are quasi-degenerate. A sub-dominant term with an approximate $\mu -\tau$ symmetry leads to an approximate tri-bimaximal form. Experimental consequences are discussed.

arXiv comment7 pages, 2 figures, 1 table, RevTex

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