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In cross sections with angular cuts, an intricate pattern of enhancedhigher-order corrections known as non-global logarithms arises. The leadinglogarithmic terms were computed numerically two decades ago, but theresummation of subleading non-global logarithms remained a challenge that wesolve in this Letter using renormalization group methods in effective fieldtheory. To achieve next-to-leading logarithmic accuracy, we implement thetwo-loop anomalous dimension governing the resummation of non-global logarithmsinto a large-$N_c$ parton shower framework, together with one-loop matchingcorrections. As a first application, we study the interjet energy flow in$e^+e^-$ annihilation into two jets. We then present, for the first time,resummed predictions at next-to-leading logarithmic accuracy for agap-between-jets observable at hadron colliders.

Resummation of Next-to-Leading Non-Global Logarithms at the LHC