Rare decays with a light CP-odd Higgs Boson in the NMSSM

We have previously proposed a light pseudoscalar Higgs boson in the next-to-minimal supersymmetric standard model (NMSSM), the A(1)(0), as a candidate to explain the HyperCP observations in Sigma(+) -> p mu(+) mu(-). In this paper we calculate the rates for several other rare decay modes that can help confirm or refute this hypothesis. The first modes we evaluate are K-L -> pi pi A(1)(0), which are interesting because they are under study by the KTeV Collaboration. We next turn to eta -> pi pi A(1)(0), which are interesting because they are independent of the details of the flavor-changing sector of the NMSSM and may be accessible at DA Phi NE. For completeness, we also evaluate Omega(-) -> Xi(-) A(1)(0).