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.

7 pages, 2 figures, 1 table, RevTex

References in corpus (3)

• U_{PMNS} = U_ell^dagger U_nu
• Flavor Symmetry L_mu - L_tau and quasi-degenerate Neutrinos
• Neutrino Mixing based on Mass Matrices with a $2\leftrightarrow 3$ Symmetry

Cited by in corpus (3)

• The Unique Horizontal Symmetry of Leptons
• Neutrino masses and tribimaximal mixing in the minimal renormalizable supersymmetric SU(5) grand unified model with A4 flavor symmetry
• Theoretical Models of Neutrino Mixing: Recent Developments