The flavor problem and discrete symmetries

Abstract

In this letter we propose a multi-Higgs extension of the standard model with Abelian and non-Abelian discrete symmetries in which the mass matrices of the charged fermions obtained from renormalizable interactions are diagonal. Corrections induced by non-renormalizable interactions deviate these matrices from the diagonal form. Active neutrinos acquire mass only from non-renormalizable interactions. The main entries of the neutrino mass matrix arise only through dimension five operators, while the diagonal entries arise only from dimension six operators.

9 pages, no figures; Report No. corrected; new references added. Version to be published in PLB

References in corpus (41)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• Phenomenology with Massive Neutrinos
• Underlying A_4 Symmetry for the Neutrino Mass Matrix and the Quark Mixing Matrix
• Softly Broken A_4 Symmetry for Nearly Degenerate Neutrino Masses
• Tri-Bimaximal Neutrino Mixing, A4 and the Modular Symmetry
• Mass and Flavor Mixing Schemes of Quarks and Leptons
• Tri-bimaximal Neutrino Mixing and Quark Masses from a Discrete Flavour Symmetry
• CKM and Tri-bimaximal MNS Matrices in a SU(5) x (d)T Model
• A_4 flavour symmetry breaking scheme for understanding quark and neutrino mixing angles
• Tri-Bimaximal Neutrino Mixing and the Family Symmetry Z_7 x Z_3
• Obtaining the Neutrino Mixing Matrix with the Tetrahedral Group
• A Redetermination of the Neutrino Mass-Squared Difference in Tri-Maximal Mixing with Terrestrial Matter Effects
• Simple Non-Abelian Finite Flavor Groups and Fermion Masses
• Tetrahedral Family Symmetry and the Neutrino Mixing Matrix
• The Flavor Group Delta(3n^2)
• A_4 symmetry and prediction of U_{e3} in a modified Altarelli-Feruglio model
• Maximal Neutrino Mixing from a Minimal Flavor Symmetry
• Dihedral Families of Quarks, Leptons and Higgs Bosons
• Predictive flavour symmetries of the neutrino mass matrix
• Supersymmetric A_4 X Z_3 and A_4 Realizations of Neutrino Tribimaximal Mixing Without and With Corrections
• Flavor Symmetry for Quarks and Leptons
• Simple Finite Non-Abelian Flavor Groups
• Flavor S_4 times Z_2 symmetry and neutrino mixing
• U(2) Flavor Physics without U(2) Symmetry
• A_4 model for the quark mass matrices
• Higgs Triplets and Limits from Precision Measurements
• The Private Higgs
• U(2)-like Flavor Symmetries and Approximate Bimaximal Neutrino Mixing
• Flavor Changing Neutral Higgs Bosons in a Supersymmetric Extension based on a $Q_6$ Family Symmetry
• New Lepton Family Symmetry and Neutrino Tribimaximal Mixing
• Bimaximal Neutrino Mixing in a Zee-type Model with Badly Broken Flavor Symmetry
• Prospects for mass unification at low energy scales
• Viability of bi-maximal solution of the Zee mass matrix
• Comment on ``Majoron emitting neutrinoless double beta decay in the electroweak chiral gauge extensions''
• Decay of Z into Two Light Higgs Bosons
• Modified Zee mass matrix with zero-sum condition
• A(4) Symmetry and Neutrinos
• Decay of the Z Boson into Scalar Particles
• Relations Between Standard Model Parameters from $T^{{}^{\prime }}$ Flavor Symmetry
• Quark and lepton mass matrices with $A_4$ family symmetry

Cited by in corpus (11)

• The Golden Ratio Prediction for the Solar Angle from a Natural Model with A5 Flavour Symmetry
• The Interplay Between GUT and Flavour Symmetries in a Pati-Salam x S4 Model
• Lepton masses and mixings in a $A_4$ multi-Higgs model with radiative seesaw mechanism
• Tri-Bimaximal Lepton Mixing and Leptogenesis
• Three-Higgs-doublet model with $A_4$ symmetry
• Running Effects on Lepton Mixing Angles in Flavour Models with Type I Seesaw
• Schizophrenic active neutrinos and exotic sterile neutrinos
• Neutrino masses and the scalar sector of a B-L extension of the standard model
• A Note on Embedding Nonabelian Finite Flavor Groups in Continuous Groups
• Symmetryless Dark Matter
• On fermion masses and mixing in a model with $A_4$ symmetry