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 (15)

• Phenomenology with Massive Neutrinos
• Tri-Bimaximal Neutrino Mixing and the Family Symmetry Z_7 x Z_3
• The Flavor Group Delta(3n^2)
• 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
• A_4 model for the quark mass matrices
• The Private Higgs
• Flavor Changing Neutral Higgs Bosons in a Supersymmetric Extension based on a $Q_6$ Family Symmetry
• New Lepton Family Symmetry and Neutrino Tribimaximal Mixing
• A(4) Symmetry and Neutrinos
• Relations Between Standard Model Parameters from $T^{{}^{\prime }}$ Flavor Symmetry
• Quark and lepton mass matrices with $A_4$ family symmetry

Cited by in corpus (1)

• A Note on Embedding Nonabelian Finite Flavor Groups in Continuous Groups