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Vacuum solutions of neutrino anomalies through a softly broken U(1) symmetry

  • A.S. Joshipura
  • S.D. Rindani
Theoretical physics

Abstract.

We discuss an extended \(SU(2)\times U(1)\) model which naturally leads to mass scales and mixing angles relevant for understanding both the solar and atmospheric neutrino anomalies in terms of the vacuum oscillations of the three known neutrinos. The model uses a softly broken \(L_e\)\(L_\mu\)\(L_\tau\) symmetry and contains a heavy scale \(M_H\sim 10^{15}\) GeV. The \(L_e\)\(L_\mu\)\(L_\tau\) symmetric neutrino masses solve the atmospheric neutrino anomaly while breaking of \(L_e\)\(L_\mu\)\(L_\tau\) generates the highly suppressed radiative mass scale \(\Delta_S\sim 10^{-10}\,{\rm eV}^2\) needed for the vacuum solution of the solar neutrino problem. All the neutrino masses in the model are inversely related to \(M_H\), thus providing seesaw-type of masses without invoking any heavy right-handed neutrinos. The possible embedding of the model into an SU(5) grand unified theory is discussed.

Keywords

Neutrino Masse Mass Scale Unify Theory Extended Model Solar Neutrino 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • A.S. Joshipura
    • 1
  • S.D. Rindani
    • 1
  1. 1.Theoretical Physics Group, Physical Research Laboratory, Navarangpura, Ahmedabad, 380 009, India IN

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