A natural solution for the μproblem with anomalous U(1)_A gauge symmetry

Abstract

Recently we proposed an attractive scenario of grand unified theories with anomalous $U(1{)}_A$ gauge symmetry, in which doublet-triplet splitting is naturally realized in SO(10) unification using Dimopoulos-Wilczek mechanism and realistic quark and lepton mass matrices can be obtained in a simple way. In this paper we show that there is a mechanism in which the doublet Higgs obtains the supersymmetric mass which is proportional to the SUSY breaking parameters. This mechanism can be applied easily in the above scenario. The point is that the mass term, which is forbidden by SUSY zero mechanism, can be induced by SUSY breaking. The proportional coefficient is controlled by the anomalous U(1)_A charges.

7 pages, LATEX, Ver.2:Argument on Giudice-Masiero mechanism is corrected. Ver.3:Argument on the effect of D-term is added

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• Upper Bound of Proton Lifetime in Product-Group Unification
• U(1) Flavor Symmetry and Proton Decay in Supersymmetric Standard Model
• Horizontal symmetry in Higgs sector of GUT with U(1)_A symmetry
• Heterotic E6 GUTs and Partition Functions
• Sliding Singlet Mechanism Revisited
• Spontaneous CP violation in E6 SUSY GUT with SU(2) flavor and anomalous U(1) symmetries
• Spontaneous SUSY breaking with anomalous U(1) symmetry in metastable vacua and moduli stabilization
• Mass hierarchy from the flavor symmetry in supersymmetric multi-Higgs doublet model
• Neutrino properties in E6 x SU(2)F SUSY GUT with spontaneous CP violation
• Sizable D-term contribution as a signature of $E_6\times SU(2{)}_F\times U(1{)}_A$ SUSY GUT model
• Spontaneous SUSY breaking in natural SO(10) grand unified theory