SO(10) models with flavour symmetries: Classification and examples

Abstract

We establish the full list of flavour symmetry groups which may be enforced, without producing any further accidental symmetry, on the Yukawa-coupling matrices of an SO(10) Grand Unified Theory with arbitrary numbers of scalar multiplets in the 10, $\overline{126}$, and 120 representations of SO(10). For each of the possible discrete non-Abelian symmetry groups, we present examples of minimal models which do not run into obvious contradiction with the phenomenological fermion masses and mixings.

22 pages

References in corpus (15)

• A model for fermion masses and lepton mixing in SO(10) x A4
• Suitability of A_4 as a Family Symmetry in Grand Unification
• Fermion masses and mixing in models with SO(10) x A_4 symmetry
• Is S4 the horizontal symmetry of tri-bimaximal lepton mixing?
• An SO(10) GUT Model with $S4$ Flavor Symmetry
• An SO(10)XS4 Model of Quark-Lepton Complementarity
• Embedding the Zee-Wolfenstein neutrino mass matrix in an SO(10) x A4 GUT scenario
• Embedding A4 into SU(3)xU(1) flavor symmetry: Large neutrino mixing and fermion mass hierarchy in SO(10) GUT
• Towards a complete $\Delta (27)\times SO(10)$ SUSY GUT
• SO(10) SUSY GUT for Fermion Masses : Lepton Flavor and CP Violation
• Intermediate left-right gauge symmetry, unification of couplings and fermion masses in SUSY $SO(10)\times S_4$
• Tri-bi-maximal mixing in viable family symmetry unified model with extended seesaw
• Zero Texture Model and SO(10) GUT
• Family Unification with SO(10)
• Four Zero Texture Fermion Mass Matrices in SO(10) GUT

Cited by in corpus (8)

• Building and testing models with extended Higgs sectors
• A natural $S_4\times SO(10)$ model of flavour
• $\mathbf{SO}(10)\times {\mathbf{S}}_4$ Grand Unified Theory of Flavour and Leptogenesis
• Hidden flavor symmetries of SO(10) GUT
• SO(10) unification with horizontal symmetry
• Flavor Symmetries in the Yukawa Sector of Non-Supersymmetric SO(10): Numerical Fits Using Renormalization Group Running
• Flavor Symmetries in an SU(5) Model of Grand Unification
• Fermion masses and mixing in SO(10) GUT with a universal two-zero texture