A simple modification of the maximal mixing scenario for three light neutrinos

Abstract

We suggest a simple modification of the maximal mixing scenario (with $S_3$ permutation symmetry) for three light neutrinos. Our neutrino mass matrix has smaller permutation symmetry $S_2$ ($\hat{I}{½}_{\hat{I}}¼\leftrightarrow \hat{I}{½}_e$), and is consistent with all neutrino experiments except the ${}^{37}$Cl experiment. The resulting mass eigenvalues for three neutrinos are $m_1\approx (2.55-1.27)\times 10^{-3}eV,m_{2,3}\approx (0.71-1.43)eV$ for $\hat{I}”m_{LSND}^2=0.5-2.0e{V}^2$. Then these light neutrinos can account for $\sim (2.4-4.8)$ of the dark matter for $h=0.8(0.5)$. Our model predicts the $\hat{I}{½}_{\hat{I}}¼\to \hat{I}{½}_{\ddot{I}}„$ oscillation probability in the range sensitive to the future experiments such as CHORUS and NOMAD.

The title has been changed, to appear in Z. Phys. C