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arXiv · 2307.11089

Glauber Phases in Non-Global LHC Observables: Resummation for Quark-Initiated Processes

Abstract

It has been known for many years that jet cross sections at hadron colliders exhibit double-logarithmic corrections starting at four-loop order, arising from two soft Glauber-gluon interactions between the two colliding partons. The resummation of these "super-leading logarithms" has been achieved only recently by means of a renormalization-group treatment in soft-collinear effective theory. We generalize this result and, within the same framework and for quark-initiated processes, resum the double logarithms arising in the presence of an arbitrary number of Glauber-gluon exchanges. For typical choices of parameters, the higher-order Glauber terms give rise to corrections which are expected to be numerically of the same magnitude as the super-leading logarithms. However, we find that the Glauber series for jet cross sections is dominated by the two-Glauber contribution, if the colliding partons are quarks or anti-quarks.

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Philipp Böer, Matthias Neubert, Michel Stillger. 2023-07-20. Glauber Phases in Non-Global LHC Observables: Resummation for Quark-Initiated Processes. https://doi.org/10.1007/jhep10(2023)075

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