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arXiv · 2311.18811

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

Philipp Böer·Patrick Hager·Matthias Neubert·Michel Stillger·Xiaofeng Xu
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Abstract

The resummation of the ''Glauber series'' in non-global LHC observables is extended to processes with gluons in the initial state. This series simultaneously incorporates large double-logarithmic corrections, the so-called ''super-leading logarithms'', together with higher-order exchanges of pairs of Glauber gluons associated with the large numerical factor $(i\pi)^2$. On a technical level, the main part of this work is devoted to the systematic reduction of the appearing color traces and construction of basis structures, which consist of thirteen elements for $gg$ and eleven elements for $qg$ scattering. Numerical estimates for wide-angle gap-between-jet cross sections at the parton level show that, in particular for $gg$ scattering at relatively small vetoes $Q_0$, the contribution involving four Glauber exchanges gives a sizeable correction and should not be neglected.

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Philipp Böer, Patrick Hager, Matthias Neubert, Michel Stillger, Xiaofeng Xu. 2023-11-30. Glauber Phases in Non-Global LHC Observables: Resummation for Gluon-Initiated Processes. https://arxiv.org/abs/2311.18811

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