  We present a method based on three-particle azimuthal correlation cumulants
for studying jet interactions with the medium produced in heavy ion collisions
(at RHIC) where jets cannot be reconstructed on an event-by-event basis with
conventional jet-finding algorithms. The method is specifically designed to
distinguish a range of jet interaction mechanisms such as Mach cone emission,
gluon Cerenkov emission, jet scattering, and jet broadening. We describe how
anisotropic flow contributions of second order (e.g. v22) are suppressed in
three-particle azimuthal correlation cumulants, and discuss specific model
representations of di-jets, away-side scattering, and Mach cone emission.
