Almost maximally broken permutation symmetry for neutrino mass matrix

Abstract

Assuming three light neutrinos are Majorana particles, we propose mass matrix ansatz for the charged leptons and Majorana neutrinos with family symmetry S-3 broken into S-1 and S-2, respectively. Each matrix has three parameters, which are fixed by measured charged lepton masses, differences of squared neutrino masses relevant to the solar and the atmospheric neutrino puzzles, and the masses of three light Majorana neutrinos as a candidate for hot dark matter with Sigma \m(nu)\ similar to 6 eV. The resulting neutrino mixing is compatible with the data for the current upper limit, [m(nu e)](th) < 0.7 eV, of neutrinoless double beta decay experiments, and the current data for various types of neutrino oscillation experiments. One solution of our model predicts that nu(mu) --> nu(tau) oscillation probability is about < 0.008 with Delta m(2) similar to 10(-2) eV(2), which may not be accessible at CHORUS and other on-going experiments.