A new prescription for soft gluon resummation

TL;DR

This paper introduces a Borel resummation method for soft gluon corrections in perturbative QCD, avoiding unphysical dependencies and providing a new approach to threshold resummation.

Contribution

It proposes a novel Borel resummation prescription for soft gluon resummation that eliminates dependence on unphysical small-x regions unlike previous methods.

Findings

Borel prescription yields consistent resummed results.

Comparison shows reduced ambiguities with the Borel method.

Method improves theoretical predictions near threshold.

Abstract

We present a new prescription for the resummation of the divergent series of perturbative corrections, due to soft gluon emission, to hard processes near threshold in perturbative QCD (threshold resummation). This prescription is based on Borel resummation, and contrary to the commonly used minimal prescription, it does not introduce a dependence of resummed physical observables on the kinematically unaccessible x->0 region of parton distributions. We compare results for resummed deep-inelastic scattering obtained using the Borel prescription and the minimal prescription and exploit the comparison to discuss the ambiguities related to the resummation procedure.