  We explore the strangeness-changing decays of the lightest hyperons into
another baryon plus missing energy within and beyond the standard model (SM).
In the SM these processes arise from the loop-induced quark transition $s\to
d\nu\bar\nu$ and their branching fractions are estimated to be less than
$10^{-11}$. In the presence of new physics (NP) the rates of these hyperon
decays with missing energy could increase significantly with respect to the SM
expectations because of modifications to the SM process or contributions from
additional modes with new invisible particles. Adopting a model-independent
approach and taking into account constraints from the kaon sector, we find that
the current data on $K\to\pi\nu\bar\nu$ do not permit sizable NP impact on the
hyperon decays via underlying operators having mainly parity-even quark parts.
In contrast, NP operators with primarily parity-odd quark parts are much less
restricted by the existing bounds on $K\to\rm invisible$ and
$K\to\pi\pi\nu\bar\nu$ and consequently could produce substantially amplifying
effects on the hyperon modes. Their NP-enhanced branching fractions could reach
levels potentially observable in the ongoing BESIII experiment.
