Almost maximally broken permutation symmetry for neutrino mass matrix

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Abstract

Assuming three light neutrinos are Majorana particles, we propose mass matrix ansatz for the charged leptons and Majorana neutrinos with family symmetry S3 broken into S1 and S2, 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 ∑|mv| ∼ 6 eV. The resulting neutrino mixing is compatible with the data for the current upper limit, 〈mivth < 0.7 eV, of neutrino-less double beta decay experiments, and the current data for various types of neutrino oscillation experiments. One solution of our model predicts that υμ → υτ oscillation probability is about < 0.008 with Δm2 ∼ 10-2 eV2, which may not be accessible at CHORUS and other on-going experiments.

Original languageEnglish
Pages (from-to)1175-1184
Number of pages10
JournalModern Physics Letters A
Volume12
Issue number16
DOIs
StatePublished - 30 May 1997

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