  The Glauber series for non-global jet observables at hadron colliders
simultaneously includes the super-leading logarithms alongside an arbitrary
number of Glauber phases. Building on the formalism of arXiv:2405.05305, it is
shown that the leading terms in this series for large $N_c$ can be resummed in
closed form in renormalization-group improved perturbation theory. This
remarkable observation suggests that large-$N_c$ methods might also be helpful
to study other aspects of non-global logarithms at hadron colliders, and to
combine our analytic results with amplitude-level parton showers.
