  Studies of the baryon-baryon interaction involving hyperons within chiral
effective field theory, so far performed up to next-to-leading order (NLO) in
the chiral expansion, have shown that for the strangeness $S=-1$ ($\Lambda N$,
$\Sigma N$) and $S=-2$ ($\Lambda \Lambda$, $\Xi N$) sectors a consistent and
satisfactory description of the available scattering data and experimental
constraints can be achieved based on the assumption of broken SU(3) flavor
symmetry. We explore the possible extension of this approach at the NLO level
to strangeness $S=-3$ and $S=-4$ baryon-baryon systems where empirical
information is rather scarce. Specifically we address the question how
measurements of two-body correlation functions in heavy-ion collisions and/or
in high-energetic proton-proton collisions can help to constrain the
interaction in channels like $\Xi\Lambda$ or $\Xi\Xi$.
