Sgoldstino interpretation of HyperCP events

We discuss possible sgoldstino interpretation of the observation, reported by HyperCP collaboration, of three ${\Sigma }^{+}\to p{\mu }^{+}{\mu }^{-}$ decay events with dimuon invariant mass $214.3$ MeV within detector resolution. We find that this interpretation is consistent in models with (i) parity conservation in sgoldstino interactions, (ii) pseudoscalar sgoldstino $P$ of mass $214$ MeV and heavier scalar sgoldstino, and (iii) low supersymmetry breaking scale, $\sqrt{F}=2.5$-$60$ TeV. In these models, sgoldstino can be observed in decays $K^{+}\to {\pi }^{+}{\pi }^{0}P$, $K_L\to \pi \pi P$ and $K_S\to \pi \pi P$ at the branching ratios of at least of order ${10}^{-12}$, ${10}^{-8}$ and ${10}^{-11}$, respectively. The model can be probed also at $e^{+}{e}^{-}$ colliders in the channels $e^{+}{e}^{-}\to \gamma P$ and $e^{+}{e}^{-}\to e^{+}{e}^{-}P$, where the cross section is likely to be in the range 1 pb–5 ab.