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Motivated by the mu-problem and the axion solution to the strong CP-problem,we extend the MSSM with one more chiral singlet field $X_e$. The underlyingPQ-symmetry allows only one more term $X_e H_u H_d$ in the superpotential. Thespectrum of the Higgs system includes a light pseudoscalar $a_X$ (in additionto the standard CP-even Higgs boson), predominantly decaying to two photons:$a_X \to \gamma \gamma$. Both Higgs bosons might be in the range accessible tocurrent LHC experiments.

Singlet superfield extension of the minimal supersymmetric standard model with Peccei-Quinn symmetry and a light pseudoscalar Higgs boson at the LHC