New "Square Root" Model of Lepton Family Cyclic Symmetry

Details New "Square Root" Model of Lepton Family Cyclic Symmetry New "Square Root" Model of Lepton Family Cyclic Symmetry

2003-06-26

arxiv.org/abs/hep-ph/0306264v1

Phys.Rev. D68 (2003) 071302

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, no figure

Scientific paper

10.1103/PhysRevD.68.071302

Following the newly formulated notion of form invariance of the neutrino mass matrix, a complete model of leptons is constructed. It is based on a specific unitary 3 X 3 matrix U in family space, such that U^2 is the simple discrete symmetry nu_e to -nu_e, nu_mu to nu_tau. Thus U also generates the cyclic group Z_4. The charged-lepton mass matrix is nearly diagonal while the neutrino mass matrix is of the form suitable for explaining maximal (large) mixing in atmospheric (solar) neutrino oscillations in the context of three nearly degenerate neutrino masses. Observable lepton flavor violation is predicted. Quarks may be treated in the same way as the charged leptons.

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