Lepton Private Higgs and the discrete group Σ(81)

Details Lepton Private Higgs and the discrete group Σ(81) Lepton Private Higgs and the discrete group Σ(81)

2012-02-20

arxiv.org/abs/1202.4234v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

34 pages, 4 figures

Scientific paper

We use the discrete group \Sigma(81) = (Z_3 x Z_3 x Z_3)\rx Z_3 to suggest a relation among the off-diagonal entries of the neutrino mass matrix, as well as to explain the muon magnetic moment anomaly, a_\mu^exp-a_\mu^SM ~ 10^{-9}. We predict three new nearly degenerate Higgs doublets with masses of order ~500 GeV to ~ 1 TeV, and three nearly degenerate SM-singlet TeV-scale neutrinos. The largest scale in the model is ~10 TeV, so there is no severe hierarchy problem. The appendix is devoted to the group theory of \Sigma(81).

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