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 Σ ⁺ pμ ⁺μ ^-. 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 ππA ₁ ⁰, which are interesting because they are under study by the KTeV Collaboration. We next turn to η ππA 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 DAΦNE. For completeness, we also evaluate Ω ^- Ξ ^-A ₁ ⁰.