Gauge Model for Maximal Neutrino Mixing

Abstract

The recently announced Super-Kamiokande data on atmospheric neutrino oscillation seems to require a maximal mixing between the $ν_μ$ and $ν_τ$ within the conventional three neutrino picture. It is then tempting to suggest as has been done in literature, that the solar neutrino deficit be also understood as resulting from a maximal mixing between $ν_e$ and $ν_μ$. In this letter, we propose a left-right symmetric extension of the standard model where permutation symmetry leads to one of the maximal mixing patterns in a technically natural manner. The double seesaw mechanism gives small Majorana masses for neutrinos needed to understand the atmospheric as well as the solar neutrino puzzles.