Resummation of Glauber Phases in Non-Global LHC Observables for Large $N_c$

TL;DR

This paper demonstrates that in the large $N_c$ limit, the leading terms of the Glauber series for non-global jet observables at hadron colliders can be resummed in a closed form, enhancing understanding of non-global logarithms.

Contribution

It introduces a novel resummation of Glauber phases in non-global observables at large $N_c$, extending the formalism to include super-leading logarithms.

Findings

Leading terms in the Glauber series are resumable in closed form.

Large-$N_c$ methods can aid in studying non-global logarithms.

Potential to integrate with amplitude-level parton showers.

Abstract

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.