The Symmetry behind Extended Flavour Democracy and Large Leptonic Mixing

Details The Symmetry behind Extended Flavour Democracy and Large Leptonic Mixing The Symmetry behind Extended Flavour Democracy and Large Leptonic Mixing

2001-06-12

arxiv.org/abs/hep-ph/0106125v1

Phys.Lett. B526 (2002) 104-110

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, LaTeX

Scientific paper

10.1016/S0370-2693(01)01472-1

We show that there is a minimal discrete symmetry which leads to the extended flavour democracy scenario constraining the Dirac neutrino, the charged lepton and the Majorana neutrino mass term ($M_R$) to be all proportional to the democratic matrix, with all elements equal. In particular, this discreet symmetry forbids other large contributions to $M_R$, such as a term proportional to the unit matrix, which would normally be allowed by a $S_{3L}\times S_{3R}$ permutation symmetry. This feature is crucial in order to obtain large leptonic mixing, without violating 't Hooft's, naturalness principle.

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