A4 model for the quark mass matrices

2007/11/30 by L. Lavoura, H. Kuhbock, Helmut Kühböck · 3 citations
Physics and Astronomy · #Neutrino Physics Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1140/epjc/s10052-008-0562-1

published as Eur.Phys.J.C55:303-308,2008 · 11 pages, 2 figures, clarifications and reference added, v3: version to appear in EPJC

arxiv created 2008/02/14 · openalex publication_date 2008/03/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a model for the quark masses and mixings based on an A₄ family symmetry. Three scalar SU(2) doublets form a triplet of A₄. The three left-handed-quark SU(2) doublets are also united in a triplet of A₄. The right-handed quarks are singlets of A₄. The A₄-symmetric scalar potential leads to a vacuum in which two of the three scalar SU(2) doublets have expectation values with equal moduli. Our model makes an excellent fit of the observed |V_ub/V_cb|. The symmetry CP is respected in the charged gauge interactions of the quarks.

Citations

• Commutator of the Quark Mass Matrices in the Standard Electroweak Model and a Measure of MaximalCPNonconservation
• A Simplex Method for Function Minimization
• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)

Cited by

• Model-independent analysis of tri-bimaximal mixing: A softly-broken hidden or an accidental symmetry?
• Lepton mass and mixing in a neutrino mass model based onS4flavor symmetry
• Constraining flavour symmetries at the EW scale I: the A 4 Higgs potential

Related

• Towards unification of lepton and quark mass matrices from double covering of modular A₄ flavor symmetry
• Fermion masses and mixings in a S4 based model
• A₄ flavor symmetric model in SUSY SU(5) GUT
• A₄ symmetry breaking scheme for understanding quark and lepton mixing angles
• Quark-Lepton Mass Relation in a Realistic A4 Extension of the Standard Model