The higher-order behavior of logarithmically enhanced contributions in non-global observables is very intricate, in particular as double-logarithmic corrections may arise first at very high orders in perturbation theory. Recently, the resummation of these super-leading logarithms (SLLs) to all orders for generic $2\rightarrow l$ scattering processes at hardron colliders has been achieved [1]....
We present a formalism for the resummation of non-global QCD observables beyond leading logarithmic accuracy. We discuss the derivation of a set of integro-differential equations that governs the dynamics of soft radiation in the planar limit, using which we perform a calculation of the out-of-jet transverse energy distributions at lepton colliders. We finally comment on the solution of the...