Unified model of fermion masses with Wilson line flavor symmetry breaking

Abstract

We present a supersymmetric SU(5) GUT model with a discrete non-Abelian flavor symmetry that is broken by Wilson lines. The model is formulated in 4+3 dimensions compactified on a manifold S^3/Z_n. Symmetry breaking by Wilson lines is topological and allows to realize the necessary flavor symmetry breaking without a vacuum alignment mechanism. The model predicts the hierarchical pattern of charged fermion masses and quark mixing angles. Small normal hierarchical neutrino masses are generated by the type-I seesaw mechanism. The non-Abelian flavor symmetry predicts to leading order exact maximal atmospheric mixing while the solar angle emerges from a variant of quark-lepton complementarity. As a consequence, the resulting leptonic mixing matrix is in excellent agreement with current data and could be tested in future neutrino oscillation experiments.

12 pages, 1 figure, 1 table, discussion of Wilson lines extended, comments on symmetries added, effect of CP-violating phases included, typos corrected, final version to appear in Phys. Rev. D

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• Non-Abelian Discrete Flavor Symmetries from Magnetized/Intersecting Brane Models
• Phenomenological Consequences of See-Saw in S4 Based Models
• S4 Flavor Symmetry of Quarks and Leptons in SU(5) GUT
• A Supersymmetric Grand Unified Theory of Flavour with PSL(2,7) x SO(10)
• Lepton Flavor Model from Delta(54) Symmetry
• Tri-Bimaximal lepton mixing with A4 semidirect product Z2 x Z2 x Z2
• The Cabibbo Angle in a Supersymmetric D14 Model
• Flavored Orbifold GUT - an SO(10) x S4 model
• Delta(54) Flavor Model for Leptons and Sleptons
• An S4 model for quarks and leptons with maximal atmospheric angle
• Lepton flavor models with discrete prediction of theta_{13}
• Non-Abelian Discrete Flavor Symmetries on Orbifolds
• A Note on Embedding Nonabelian Finite Flavor Groups in Continuous Groups
• S4 Flavor Model of Quarks and Leptons