  We present a factorization formula for the energy-energy correlator in the
collinear limit for the case of heavy ion collisions. Employing Soft Collinear
Effective Theory, we provide a complete framework for jet production and
evolution by separating the jet dynamics from the universal medium physics to
all orders in perturbation theory in terms of gauge invariant operators. The
EFT allows us to precisely define the domain of validity of different
approximations and to systematically go beyond leading order results in the
literature through radiative corrections. For this observable, we show where
the leading order GLV and BDMPS-Z results are valid and infer that higher order
radiative corrections lead to both DGLAP and BFKL evolutions. We further show
the impact of BFKL resummation on the medium induced jet function for two point
energy correlator. Crucially, the EFT approach enables us to evaluate the
universality of the non-perturbative physics which is the key to predictive
power in a strongly coupled medium.
