Threshold resummation of quark-gluon partonic channels at next-to-leading power

TL;DR

This paper advances the understanding of resumming large logarithms at next-to-leading power in quark-gluon channels for processes like deep inelastic scattering and Drell-Yan, using diagrammatic and SCET approaches.

Contribution

It demonstrates the resummation of large leading logarithms at NLP in quark-gluon channels through consistency conditions, linking endpoint divergences to re-factorization.

Findings

Resummation of LLs at NLP achieved for quark-gluon channels.

Consistency conditions enable cancellation of leading poles.

Endpoint divergences at NLP are related to re-factorization.

Abstract

We discuss recent progress concerning the resummation of large logarithms at next-to-leading power (NLP) in scattering processes near threshold. We begin by briefly reviewing the diagrammatic and SCET approach, which are used to derive factorization theorems for physical observables in this kinematic limit. Then, we focus on the quark-gluon channel in deep inelastic scattering and Drell-Yan. We show that the use of consistency conditions for the cancellation of leading poles in the hadronic cross section can be used to achieve the resummation of large leading logarithms (LLs) at NLP, both within diagrammatic and SCET methods. In this context it is also possible to investigate the problem of endpoint divergences appearing at NLP in SCET, and relate its solution to the concept of re-factorization.