Renormalization-Group Improved Resummation of Super-Leading Logarithms

TL;DR

This paper introduces a renormalization-group based resummation method for super-leading logarithms in non-global LHC observables, improving the accuracy and reliability of theoretical predictions by including scale dependence and exponentiating double-logarithmic corrections.

Contribution

It presents the first RG-improved resummation of super-leading logarithms for arbitrary scattering processes, incorporating scale dependence of the strong coupling and exponentiating double-logarithmic corrections.

Findings

Resummation of super-leading logarithms achieved at leading order.

Demonstrated parametric suppression of higher-order Glauber exchange corrections.

Enhanced reliability of theoretical predictions for non-global observables.

Abstract

A new strategy is presented for systematically treating super-leading logarithmic contributions including higher-order Glauber exchanges for non-global LHC observables in renormalization-group (RG) improved perturbation theory. This represents an important improvement over previous approaches, as it allows for the consistent inclusion of the scale dependence of the strong coupling, thereby providing more reliable estimates of the scale uncertainties in theoretical predictions. The key idea is to rearrange the relevant RG evolution operator in such a way that all double-logarithmic corrections are exponentiated from the outset. This forms the starting point for the first resummation of super-leading logarithms at leading order in RG-improved perturbation theory for arbitrary $2\to M$ scattering processes. Moreover, the asymptotic scaling of subleading logarithmic corrections from higher-order Glauber exchanges is determined, demonstrating their parametric suppression.