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A prediction for three neutrino masses and mixings and similarity between quark and lepton mixings
Authors:Saul Barshay  Patrick Heiliger
Institution:

III. Physikalisches Institut (A), RWTH Aachen, D-52056, Aachen, Germany

Abstract:If neutrinos have mass, we give reasons for a possible pattern of three (squaed) mass eigenvalues: m12 reverse similar, equals (2.8?5.8) (eV)2, m22 reverse similar, equals 0.01 (eV)2, m32 reverse similar, equals (1.5?1) × 10?4 (eV)2. The flavor states νμ and νe are mixtures of the eigenstates with m2 and m3 with a significant mixing, corresponding to an effective mixing angle of about 0.45. The ντ is nearly the state with m1; 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.
Keywords:
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