On the effectiveness of threshold resummation away from hadronic endpoint

TL;DR

This paper develops a process-independent method within soft-collinear effective theory to quantify and improve threshold resummation effects away from the hadronic endpoint by linking soft and collinear radiation scales to parton distribution functions.

Contribution

It introduces a process-independent parameterization of threshold effects away from the hadronic endpoint using SCET, connecting radiation scales directly to PDFs.

Findings

Quantifies power corrections to threshold resummation as a function of invariant mass and rapidity.

Provides a method to determine the correct resummation scale after PDF integration.

Enhances the understanding of threshold effects in QCD processes.

Abstract

We parameterize the enhancement of threshold effects away from hadronic endpoint that arise due to the steeply falling nature of parton distribution functions, within the context of soft-collinear effective theory. This is accomplished in a process-independent way by directly linking the charac- teristic scale of soft and collinear radiation, \lambda, to the shape of the pdfs. This allows us quantify the power corrections to partonic threshold resummation as a function of the invariant mass and rapidity of the final state. In the context of SCET, being able to compute \lambda in a process-independent manner allows us to determine the correct scale for threshold resummation after integration with the pdfs, without any additional procedure.