  Triple product asymmetries have been used to probe CP violation in $K$, $D$,
and B decays. Here we review the interpretation of those asymmetries, and note
that it is possible to construct twelve measurable triple product asymmetries
for the decay of a particle into a four body final state. Eight of these
asymmetries are introduced here and nine have never been measured before. These
can be used to systematically test C, P, and CP symmetries in decays to four
body final states. In particular we note that these asymmetries can be used to
study symmetry invariance in Higgs, $Z^0$, top-quark, and hadron decay (both
baryon and meson) as well as for $\tau^\pm$ decay at production threshold.

High Energy Physics - Phenomenology;High Energy Physics - Experiment