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

TL;DR

This paper extends the resummation of Glauber-gluon interactions in jet cross sections at hadron colliders, showing that two-Glauber contributions dominate for quark-initiated processes, with significant implications for precision calculations.

Contribution

It generalizes the resummation of Glauber-gluon exchanges to include arbitrary numbers in quark-initiated processes within soft-collinear effective theory.

Findings

Higher-order Glauber terms are numerically comparable to super-leading logarithms.

Two-Glauber contributions dominate the Glauber series for quark-initiated processes.

Resummation framework is extended to arbitrary Glauber-gluon exchanges.

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.