  We investigate the discovery potential of semileptonic hyperon decays in
terms of searches of new physics at teraelectronvolt scales. These decays are
controlled by a small $SU(3)$-flavor breaking parameter that allows for
systematic expansions and accurate predictions in terms of a reduced dependence
on hadronic form factors. We find that muonic modes are very sensitive to
non-standard scalar and tensor contributions and demonstrate that these could
provide a powerful synergy with direct searches of new physics at the LHC.
