Rare decays with a lightCP-odd Higgs Boson in the NMSSM

Abstract

We have previously proposed a light pseudoscalar Higgs boson in the next-to-minimal supersymmetric standard model (NMSSM), the A10, 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 KL → ππA10, which are interesting because they are under study by the KTeV Collaboration. We next turn to η → ππA10, 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−A10.