A prediction for three neutrino masses and mixings and similarity between quark and lepton mixings

Abstract

If neutrinos have mass, we give reasons for a possible pattern of three (squared) mass eigenvalues: $m_1^2 \simeq (2.8 - 5.8) \, \mbox{(eV)}^2 $, $m_2^2 \simeq 0.01 \, \mbox{(eV)}^2 $, $m_3^2 \simeq (1.5 - 1) \times 10^{-4} \mbox{(eV)}^2 $. The flavor states ${\nu }_{\mu }$ and ${\nu }_e$ are mixtures of the eigen\-states with $m_2$ and $m_3$ with a significant mixing, corresponding to an effective mixing angle of about 0.45. The ${\nu }_{\tau }$ is nearly the state with $m_1$; the other two effective mixing angles are about an order of magnitude smaller than 0.45. There is a marked similarity to mixing in the quark sector.

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• Reconciling Dark Matter, Solar and Atmospheric Neutrinos
• SO(10) grand unification model for degenerate neutrino masses
• Indirect Neutrino Oscillations
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Cited by in corpus (4)

• Upper limits for neutrino oscillations muon-antineutrino to electron-antineutrino from muon decay at rest
• KARMEN Limits on nu_e -> nu_tau Oscillations in 2-neutrino and 3-neutrino Mixing Schemes
• Neutrino masses and mixing: Singular mass matrices and Quark-lepton symmetry
• Absolute values of three neutrino masses from atmospheric mixing and an ansatz for the mixing-matrix elements