Energy-energy correlators in the large-charge limit of N=4 super Yang-Mills theory

We study the energy-energy correlator (EEC) in heavy states of four-dimensional mathcal N=4 super Yang--Mills theory in the large-charge 't Hooft limit, in which the dimension Δ of the heavy operator (or, equivalently, its R-charge) is taken to infinity with the effective coupling λ_Q propto g_{YM}^2Δ held fixed. The relevant heavy-heavy-light-light four-point correlators are known to all orders in λ_Q in this limit. For certain classes of operators, the perturbative series can be resummed to obtain exact finite-coupling expressions. We use these results to determine the corresponding EEC, whose dynamical part can be extracted from a double discontinuity of the four-point correlator. We determine the EEC at finite effective coupling and study its physical behavior as a function of λ_Q and the angular separation between the detectors, both at generic angles and in the collinear and back-to-back limits.