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arXiv · hep-ph/9905388

Sterile Neutrinos in E_6 and a Natural Understanding of Vacuum Oscillation Solution to the Solar Neutrino Puzzle

Z. Chacko·R. N. Mohapatra
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Abstract

If Nature has chosen the vacuum oscillation solution to the Solar neutrino puzzle, a key theoretical challenge is to understand the extreme smallness of the $Δm^2_{ν_e-ν_X}$ ($\sim 10^{-10} eV^2$) required for the purpose. We find that in a class of models such as [SU(3)]^3 or its parent group E_6, which contain one sterile neutrino, $ν_{is}$ for each family, the $Δm^2_{ν_i-ν_{is}}$ is proportional to the cube of the lepton Yukawa coupling. Therefore fitting the atmospheric neutrino data then predicts the $ν_e-ν_{es}$ mass difference square to be $\sim (\frac{m_e}{m_μ})^3 Δm^2_{atmos}$, where the atmospheric neutrino data is assumed to be solved via the $ν_μ-ν_{μs}$ oscillation. This provides a natural explanation of the vacuum oscillation solution to the solar neutrino problem.

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Z. Chacko, R. N. Mohapatra. 1999-05-26. Sterile Neutrinos in E_6 and a Natural Understanding of Vacuum Oscillation Solution to the Solar Neutrino Puzzle. https://doi.org/10.1103/physrevd.61.053002

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