  Energy correlators have recently been proposed as a class of jet substructure
observables that directly link experimental measurements of the asymptotic
energy flux with the field theoretic description of the underlying microscopic
dynamics. This link holds particular promise in heavy-ion physics, where both
experimental measurements and theoretical interpretations are inherently
complex. With recent measurements of energy correlators in proton-proton
collisions, the first measurement of these observables on inclusive jets in
heavy-ion collisions underscores the importance of a theoretical understanding
of their behavior in this complex environment. In this manuscript, we extend
our previous calculations to account for several effects necessary for a
qualitative understanding of the behavior of energy correlators on inclusive
jets in heavy-ion collisions. Through a semi-analytic approach implemented in a
hydrodynamically expanding quark-gluon plasma (QGP), we account for
medium-induced radiation with leading broadening effects, selection biases
arising from energy loss, and a description of the confinement transition. Our
results represent a crucial first step towards interpreting the measurements of
energy correlators on inclusive jets in heavy-ion collisions, which marks a
significant milestone in connecting heavy-ion experiment and fundamental
quantum field theory, in the quest to disentangle the microscopic dynamics of
the QGP.
