New Lepton Family Symmetry and Neutrino Tribimaximal Mixing

Abstract

The newly proposed finite symmetry Sigma(81) is applied to the problem of neutrino tribimaximal mixing. The result is more satisfactory than those of previous models based on A4 in that the use of auxiliary symmetries (or mechanisms) may be avoided. Deviations from the tribimaximal pattern are expected, but because of its basic structure, only tan2 (theta12) may differ significantly from 0.5 (say 0.45) with sin2 (2 theta23) remaining very close to one, and theta13 very nearly zero.

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