Non-Abelian Horizontal Symmetry and Anomalous U(1) Symmetry for the Supersymmetric Flavor Problem

Abstract

It is shown that using non-abelian horizontal gauge symmetry and anomalous U(1)_A symmetry in grand unified theories (GUTs), realistic quark and lepton mass matrices including large neutrino mixings can be obtained, while the differences among the scalar fermion masses are sufficiently small for suppression of various flavor changing neutral current (FCNC) processes, especially in E_6 GUT. Combining the Higgs sector, in which doublet-triplet splitting is realized, a complete E_6\times SU(3)_H GUT, in which three generations are unified into a single multiplet, Psi(27,3), is obtained.

arXiv commentReVTeX, 4 pages, Ver3:Proofread, Typos corrected, Refs. added

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• E6 grand unified theory with three generations from heterotic string
• Flipped SO(10) model
• Constraint from recent ATLAS results on non-universal sfermion mass models and naturalness
• Horizontal symmetry in Higgs sector of GUT with U(1)_A symmetry
• Heterotic E6 GUTs and Partition Functions
• Lepton Flavor Violation in SUSY GUT Model with Non-universal Sfermion Masses
• Leptogenesis in $E_6\times U(1{)}_A$ SUSY GUT model
• CEDM constraints on modified sfermion universality and spontaneous CP violation
• Sliding Singlet Mechanism Revisited
• Spontaneous CP violation in E6 SUSY GUT with SU(2) flavor and anomalous U(1) symmetries
• CP asymmetries of B to phi K_S and B to eta' K_S in SUSY GUT Model with Non-universal Sfermion Masses
• Spontaneous SUSY breaking with anomalous U(1) symmetry in metastable vacua and moduli stabilization
• Nucleon decay via dimension-6 operators in $E_6\times SU(2{)}_F\times U(1{)}_A$ SUSY GUT model
• Neutrino properties in E6 x SU(2)F SUSY GUT with spontaneous CP violation
• Bottom-tau Yukawa non-unification in supersymmetric SU(5) with an Abelian flavor symmetry
• Neutralino Dark Matter in minimal supersymmetric standard model with natural light Higgs sector
• Effects of SO(10)-inspired scalar non-universality on the MSSM parameter space at large tan beta
• Constraints of chromoelectric dipole moments to natural SUSY type sfermion spectrum
• Sizable D-term contribution as a signature of $E_6\times SU(2{)}_F\times U(1{)}_A$ SUSY GUT model
• Heavy gravitino, naturalness, and sizable anomaly mediation