More about the sgoldstino interpretation of HyperCP events

We further discuss possible sgoldstino interpretation of the observation, reported by the HyperCP collaboration, of three Σ⁺ → pμ⁺μ⁻ decay events with the dimuon invariant mass 214.3 MeV within the detector resolution. With a sgoldstino mass equal to 214.3 MeV, this interpretation can be verified at existing and future B and ϕ factories. We find that the most natural values of the branching ratios of two-body B and D meson decays to sgoldstino P and vector meson V are about 10⁻⁶−10⁻⁷. The branching ratios of ϕ meson decay ϕ → Pγ are estimated to be in the range 1.8 × 10⁻¹³−1.6 × 10⁻⁷, depending on the hierarchy of supersymmetry-breaking soft terms. Similar branching ratios for ρ and ω mesons are in the range 10⁻¹⁴−3.4 × 10⁻⁷. The text was submitted by the authors in English.