Simple Connection Between Atmospheric and Solar Neutrino Vacuum Oscillations

Abstract

Extending the minimal standard model of particle interactions (without right-handed singlet neutrinos) to include a heavy scalar triplet $\xi$ to obtain nonzero Majorana neutrino masses, I derive the following simple realistic connection between atmospheric and solar neutrino vacuum oscillations: $(\Delta m^2{)}_{sol}(\Delta m^2{)}_{atm}/m_{\nu }^4({\sin }^{2}2\theta {)}_{atm}=2I^2$, where $m_{\nu }$ is the assumed common approximate mass of each neutrino (which may be suitable for hot dark matter) and $I=(3/16{\pi }^2)(G_F/\sqrt{2})m_{\tau }^2\ln (m_{\xi }^2/m_W^2)$ comes from the radiative splitting of the degeneracy due to the charged leptons.

Version to appear in Phys. Rev. Lett

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Cited by in corpus (12)

• Type II Seesaw and a Gauge Model for the Bimaximal Mixing Explanation of Neutrino Puzzles
• Construction of a Minimal Higgs SO(10) SUSY GUT Model
• Permutation Symmetry for Neutrino and Charged-Lepton Mass Matrices
• Baryogenesis and Degenerate Neutrinos
• Phenomenology of Pseudo Dirac Neutrinos
• Radiative origin of solar scale and U_{e3}
• A Two Parameter Texture of Nearly Bi-maximal Neutrino Mixing
• Testing leptonic SU(2) horizontal symmetry using neutrino mixings
• Radiatively Generated ${\nu }_e$ Oscillations: General Analysis, Textures and Models
• Sterile Neutrinos in E_6 and a Natural Understanding of Vacuum Oscillation Solution to the Solar Neutrino Puzzle
• Renormalization-Group Effects in the SO(3) Gauge Model With Nearly Degenerate Neutrino Masses and Bi-maximal Mixing
• A texture of neutrino mass matrix in view of recent neutrino experimental results