Threshold resummation of new partonic channels at next-to-leading power

TL;DR

This paper demonstrates the resummation of leading logarithms for new partonic channels at next-to-leading power in collider processes, using established QCD techniques, and confirms previous conjectures with explicit all-order results.

Contribution

It extends threshold resummation to new partonic channels at next-to-leading power using diagrammatic QCD methods, providing explicit all-order formulas and confirming prior conjectures.

Findings

Resummation of leading logarithms for new channels achieved

Explicit all-order formulas for quark-gluon channels obtained

Results agree with previous fixed-order conjectures

Abstract

Collider observables involving heavy particles are subject to large logarithmic terms near threshold, which must be summed to all orders in perturbation theory to obtain sensible results. Relatively recently, this resummation has been extended to next-to-leading power in the threshold variable, using a variety of approaches. In this paper, we consider partonic channels that turn on only at next-to-leading power, and show that it is possible to resum leading logarithms using well-established diagrammatic techniques in Quantum Chromodynamics. We first consider deep inelastic scattering, where we reproduce the results of a recent study using an effective theory approach. Next, we consider the quark-gluon channel in both Drell-Yan and Higgs boson production, showing that an explicit all-order form for the leading logarithmic partonic cross section can be obtained. Our results agree with previous conjectures based on fixed-order results.