Symmetries, Large Leptonic Mixing and a Fourth Generation

Details Symmetries, Large Leptonic Mixing and a Fourth Generation Symmetries, Large Leptonic Mixing and a Fourth Generation

2002-04-18

arxiv.org/abs/hep-ph/0204217v2

JHEP 0212:036,2002

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, ReVTeX, no figures

Scientific paper

10.1088/1126-6708/2002/12/036

We show that large leptonic mixing occurs most naturally in the framework of the Sandard Model just by adding a fourth generation. One can then construct a small $Z_4$ discrete symmetry, instead of the large $S_{4L}\times S_{4R}$, which requires that the neutrino as well as the charged lepton mass matrices be proportional to a $4\times 4$ democratic mass matrix, where all entries are equal to unity. Without considering the see-saw mechanism, or other more elaborate extensions of the SM, and contrary to the case with only 3 generations, large leptonic mixing is obtained when the symmetry is broken.

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