Δ(54) flavor model for leptons and sleptons

2009/07/31 by Hajime Ishimori, Tatsuo Kobayashi, Hiroshi Okada +2 · 1 citation
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph

paper · pdf · doi:10.1088/1126-6708/2009/12/054

published as JHEP 0912:054,2009 · 22 pages, 4 figures, with minor modifications, figures are revised and discussions are added

arxiv created 2009/10/19 · openalex publication_date 2009/12/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We have studied Δ(54)× Z₂ flavor model for leptons and sleptons. The tri-bimaximal mixing can be reproduced for arbitrary neutrino masses if vacuum alignments of scalar fields are guaranteed. The deviation from the tri-bimaximal mixing of leptons is predicted. The predicted upper bound for sinθ₁₃ is 0.06. The magnitude of sinθ₂₃ could be deviated from the maximal mixing considerably, but sinθ₁₂ is hardly deviated from the tri-maximal mixing. We have also studied SUSY breaking terms in the slepton sector. Three families of left-handed and right-handed slepton masses are degenerate. Even although flavor symmetry breaking effects are taken into account, our model leads to smaller values of flavor changing neutral currents than the present experimental bounds.

Citations

• Neutrino masses and mixings with an S3 family permutation symmetry
• Obtaining the neutrino mixing matrix with the tetrahedral group
• Symmetries and generalisations of tri-bimaximal neutrino mixing
• Low-energy supergravity: False vacua and vacuous predictions
• Fermion masses and mixings from dihedral flavor symmetries with preserved subgroups

Cited by

• Resonant Dirac leptogenesis on throats