Towards factorization of jet observables in dense media : An EFT approach

Jets are extended multipartonic systems and serve as a powerful tool for investigating the dynamics of emergent phenomena driven by many body QCD interactions. In heavy ion collisions, starting from their production during the perturbative hard scattering event in the initial stages of the collision to non-perturbative hadronization they interact with the various stages of quark-gluon plasma and retain imprints of fundamental properties of the medium. In these collisions, the jet production cross-section can be factorized using open quantum system framework along with effective field theory into various functions, each capturing a specific dynamics and depending on a single characteristic scale. In this review article, we discuss recent theoretical developments on factorization for jets in heavy-ion collisions with a specific example of jet substructure observable as energy-energy correlator and its generalization to projected $\nu$-point energy correlators.