Glauber Phases in Non-Global LHC Observables: Resummation for Quark-Initiated Processes
arXiv:2307.11089 · doi:10.1007/JHEP10(2023)075
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.
24 pages, 4 figures, minor changes, matches journal version
References in corpus (6)
- Super-leading logarithms in non-global observables in QCD?
- Super-leading logarithms in non-global observables in QCD: Colour basis independent calculation
- Colour and logarithmic accuracy in final-state parton showers
- Resummation and simulation of soft gluon effects beyond leading colour
- Parton showers with more exact color evolution
- Two-loop anomalous dimension for the resummation of non-global observables