Soft-gluon resummation for single-particle inclusive hadroproduction at high transverse momentum

TL;DR

This paper develops a comprehensive all-order resummation formula for high transverse momentum single-particle production in hadronic collisions, improving the understanding of threshold logarithmic contributions in QCD calculations.

Contribution

It introduces a next-to-leading logarithmic resummation framework for inclusive hadroproduction, including the computation of the one-loop hard-virtual amplitude for enhanced accuracy.

Findings

Resummation formula controls threshold logarithms at fixed rapidity.

Explicit NLL resummation and one-loop amplitude extraction.

Framework applicable to both polarized and unpolarized processes.

Abstract

We consider the cross section for one-particle inclusive production at high transverse momentum in hadronic collisions. We present the all-order resummation formula that controls the logarithmically-enhanced perturbative QCD contributions to the partonic cross section in the threshold region, at fixed rapidity of the observed parton (hadron). The explicit resummation up to next-to-leading logarithmic accuracy is supplemented with the computation of the general structure of the near-threshold contributions to the next-to-leading order cross section. This next-to-leading order computation allows us to extract the one-loop hard-virtual amplitude that enters into the resummation formula. This is a necessary ingredient to explicitly extend the soft-gluon resummation beyond the next-to-leading logarithmic accuracy. These results equally apply to both spin-unpolarized and spin-polarized scattering processes.