On 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.Comment: 14 pages, 1 figure; v2: replaced with journal version, predictions for kaons refine

K+→μ+νμννˉK^{+}\rightarrow \mu^{+}\nu_{\mu} \nu \bar \nu and K+→e+νeννˉK^{+}\rightarrow e^{+}\nu_{e} \nu \bar \nu decays within the Chiral Perturbation Theory

Decays $K^{+} \rightarrow \mu^{+}\nu_{\mu} \nu \bar \nu$ and $K^{+}\rightarrow e^{+}\nu_{e} \nu \bar \nu$ are examined to the leading order in momenta in the framework of Chiral Perturbation Theory. Predictions of the Standard Model for the muon and electron differential energy spectra and branching ratios of $K_{\mu 3 \nu}$ and $K_{e 3 \nu}$ are presented.Comment: 10 pages, 4 figures; v2: Introduction and Conclusion extended, journal versio