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 $\sum |m_{\nu }|\sim 6eV$. The resulting neutrino mixing is compatible with the data for the current upper limit, $<m_{{\nu }_e}{>}_{th}<0.8eV$, 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 ${\nu }_{\mu }\to {\nu }_{\tau }$ oscillation probability is about $<0.008$ with $\Delta m^2\sim 10^{-2}e{V}^2$, which may not be accessible at CHORUS and other ongoing experiments.

arXiv comment9 pages, RevTex, no figures

Cited by in corpus (17)

• The S_3 flavor symmetry in 3-3-1 models
• Neutrino masses and mixing from S4 flavor twisting
• Large Mixing Angle MSW Solution in S_3 Flavor Symmetry
• The D_4 flavor symmery in 3-3-1 model with neutral leptons
• The T7 flavor symmetry in 3-3-1 model with neutral leptons
• Quark and lepton mixing angles with a dodeca-symmetry
• Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry
• Neutrino mixing with broken $S_3$ symmetry
• SUSY SU(5) with singlet plus adjoint matter and A4 family symmetry
• Quantum numbers of heavy neutrinos, tri-bi-maximal mixing through double seesaw with permutation symmetry, and comment on ${\theta }_{\mathrm{sol}}+{\theta }_c\simeq \frac{\pi }{4}$
• Baryogenesis and Degenerate Neutrinos
• Lepton mass and mixing in a Neutrino Mass Model based on $S_4$ flavor symmetry
• Collinear Factorization for Single Transverse-Spin Asymmetry in Drell-Yan Processes
• Possible Flavor Mixing Structures of Lepton Mass Matrices
• Parametrization of PMNS matrix based on dodeca-symmetry
• Tetrahedral Symmetry A${}_4$ in Anti-SU(5) GUT
• Fermion masses and mixings in a $U(1{)}_X$ model based on the $\Sigma (18)$ discrete symmetry