QCD Resummation for Single Spin Asymmetries

TL;DR

This paper develops a QCD resummation formalism for single spin asymmetries in Drell-Yan and SIDIS processes, incorporating one-loop calculations and soft-gluon effects within the Collins-Soper-Sterman framework.

Contribution

It introduces a comprehensive QCD resummation approach for single spin asymmetries, including one-loop hard factors and scheme-independent coefficients, advancing theoretical understanding.

Findings

Derived one-loop hard factors in Ji-Ma-Yuan scheme

Expressed asymmetries with Sudakov form factors including soft-gluon resummation

Calculated scheme-independent coefficients up to one-loop order

Abstract

We study the transverse momentum dependent factorization for single spin asymmetries in Drell-Yan and semi-inclusive deep inelastic scattering processes at one-loop order. The next-to-leading order hard factors are calculated in the Ji-Ma-Yuan factorization scheme. We further derive the QCD resummation formalisms for these observables following the Collins-Soper-Sterman method. The results are expressed in terms of the collinear correlation functions from initial and/or final state hadrons coupled with the Sudakov form factor containing all order soft-gluon resummation effects. The scheme independent coefficients are calculated up to one-loop order.