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Grand Unification with Anomalous U(1) Symmetry and Non-abelian Horizontal Symmetry

Nobuhiro Maekawa
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Abstract

Non-abelian horizontal symmetry has been considered to solve potentially SUSY flavor problem, but simple models are suffering from various problems. In this talk, we point out that (anomalous) U(1)_A gauge symmetry solves all the problems in a natural way, especially, in the E_6 grand unified theories. Combining the GUT scenario with anomalous U(1)_A gauge symmetry, in which doublet-triplet splitting and natural gauge coupling unification are realized, and realistic quark and lepton mass matrices are obtained including bi-large neutrino mixings, complete E_6* SU(3)_H (or E_6*SU(2)_H) GUTs can be obtained, in which all the three generation quarks and leptons are unified into a single multiplet (27,3) (or two multiplets (27,2+1)). This talk is based on Ref.[1].

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Nobuhiro Maekawa. 2003-04-15. Grand Unification with Anomalous U(1) Symmetry and Non-abelian Horizontal Symmetry. https://doi.org/10.1142/9789812795120_0041

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