Dihedral families of quarks, leptons, and Higgs bosons

2004/11/30 by K. S. Babu, Jisuke Kubo · 6 citations
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Higgs boson #Higgs sector #Lepton #Neutrino Physics Research #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quark #hep-ph

paper · pdf · doi:10.1103/physrevd.71.056006

published as Phys.Rev. D71 (2005) 056006 · 27 pages, 8 figures

arxiv created 2005/03/24 · openalex publication_date 2005/03/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider finite groups of small order for family symmetry. It is found that the binary dihedral group Q₆, along with the assumption that the Higgs sector is of type II, predicts mass matrix of a nearest neighbor interaction type for quarks and leptons. We present a supersymmetric model based on Q₆ with spontaneously induced CP phases. The quark sector contains 8 real parameters with one independent phase to describe the quark masses and their mixing. Predictions in the |V_ub|\ensuremath-\ensuremathη, |V_ub|\ensuremath-sin2\ensuremathβ(\ensuremathφ₁), and |V_ub|\ensuremath-|V_td/V_ts| planes are given. The lepton sector contains also 9 parameters. A normal as well as an inverted spectrum of neutrino masses is possible, and we compute V_e3. We find that |V_e3|²>10^\ensuremath-4 in the case of a normal spectrum, and |V_e3|²>8\ifmmode×\else\texttimes\fi10^\ensuremath-4 in the case of an inverted spectrum. It is also found that Q₆ symmetry forbids all Baryon number violating terms of d=4, and the contributions to EDMs from the A terms vanish in this model.

Citations

• Calculability of quark mixing parameters from general nearest neighbor interaction texture quark mass matrices
• EVIDENCE FOR NEUTRINOLESS DOUBLE BETA DECAY
• CPviolation in a multi-Higgs-doublet model with flavor-changing neutral currents
• Democratic (s)fermions and lepton flavor violation
• EDM constraints in supersymmetric theories
• The Flavor Symmetry
• Status of global fits to neutrino oscillations
• Predictions from the Fritzsch-type lepton mass matrices
• Leptonic Fritzsch matrices and neutrino oscillations
• Exact S3 symmetry solving the supersymmetric flavor problem
• First‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: Determination of Cosmological Parameters
• A complete analysis of FCNC and CP constraints in general SUSY extensions of the standard model
• SIMPLE NON-ABELIAN FINITE FLAVOR GROUPS AND FERMION MASSES
• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• New Experimental Limit on the Electric Dipole Moment of the Neutron

Cited by

• Collider signatures of vector-like fermions from a flavor symmetric model
• Electron and muon g−2 contributions from the T′ Higgs sector
• Quark mixing in the discrete dark matter model
• Flavor changing neutral Higgs bosons in a supersymmetric extension based on aQ6family symmetry
• Testing the new CP phase in a supersymmetric model with Q6 family symmetry by Bs mixing
• Neutrino mixing with nonzero θ13 and CP violation in the 3-3-1 model based on S4 flavor symmetry