Electron-Neutrino Majorana Mass and Solar Neutrino Oscillations

Abstract

Assuming the Majorana masses of ${\nu }_e$ and the linear combination $c{\nu }_{\tau }-s{\nu }_{\mu }$ to be equal from their couplings to a heavy scalar triplet $\xi$, I show that their radiative splitting is given by $\Delta m^2/m_{\nu }^2=(3c^2/4{\pi }^2)(G_F/\sqrt{2})m_{\tau }^2\ln (m_{\xi }^2/m_W^2)$. This is applicable to the small-angle matter-enhanced oscillation solution of the solar neutrino deficit and restricts $m_{\nu }$ to be between 0.20 and 0.36 eV if $c^2=0.7$ and $m_{\xi }=10^{14}$ GeV.

7 pages including 1 figure, slightly revised version to appear in Physics Letters B

References in corpus (6)

• Pathways to Naturally Small Neutrino Masses
• Measurement of a small atmospheric ${\nu }_{\mu }/{\nu }_e$ ratio
• Neutrino Masses and Leptogenesis with Heavy Higgs Triplets
• Where do we stand with solar neutrino oscillations?
• Natural Maximal ny_my - ny_tau Mixing
• Neutrino oscillation constraints on neutrinoless double beta decay

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• Radiative magnification of neutrino mixings and a natural explanation of the neutrino anomalies
• Large Neutrino Mixing from Renormalization Group Evolution
• Permutation Symmetry for Neutrino and Charged-Lepton Mass Matrices
• The Interplay between Neutrinos and Charged Leptons in the Minimal SU(3)_LxU(1)_N Gauge Model
• Stability of Neutrino Mass Degeneracy
• Sterile Neutrinos in E_6 and a Natural Understanding of Vacuum Oscillation Solution to the Solar Neutrino Puzzle
• Nearly Mass-Degenerate Majorana Neutrinos: Double Beta Decay and Neutrino Oscillations