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Recent discovery of the SM-like Higgs boson with $m_h\simeq 125$ GeVmotivates an extension of the minimal supersymmetric standard model (MSSM),which involves a singlet Higgs superfield with a sizable Yukawa coupling to thedoublet Higgs superfields. We examine such singlet-extended SUSY models with aPeccei-Quinn (PQ) symmetry that originates from an anomalous $U(1)_A$ gaugesymmetry. We focus on the specific scheme that the PQ symmetry is spontaneouslybroken at an intermediate scale $v_{\rm PQ}\sim \sqrt{m_{\rm SUSY}M_{\rm Pl}}$by an interplay between Planck scale suppressed operators and tachyonic softscalar mass $m_{\rm SUSY}\sim \sqrt{D_A}$ induced dominantly by the $U(1)_A$$D$-term, $D_A$. This scheme also results in spontaneous SUSY breaking in thePQ sector, generating the gaugino masses $M_{1/2}\sim \sqrt{D_A}$ when it istransmitted to the MSSM sector by the conventional gauge mediation mechanism.As a result, the MSSM soft parameters in this scheme are induced mostly by the$U(1)_A$ $D$-term and the gauge mediated SUSY breaking from the PQ sector, sothat the sparticle masses can be near the present experimental bounds withoutcausing the SUSY flavor problem. The scheme is severely constrained by thecondition that a phenomenologically viable form of the low energy operators ofthe singlet and doublet Higgs superfields is generated by the PQ breakingsector in a way similar to the Kim-Nilles solution of the $\mu$ problem, andthe resulting Higgs mass parameters allow the electroweak symmetry breakingwith small $\tan\beta$. We find two minimal models with two singlet Higgssuperfields, satisfying this condition with a relatively simple form of the PQbreaking sector, and briefly discuss some phenomenological aspects of themodel.

Peccei-Quinn invariant singlet extended SUSY with anomalous U(1) gauge symmetry