QCD Resummation for Single Spin Asymmetries

TL;DR

The transverse momentum dependent factorization for single spin asymmetries in Drell-Yan and semi-inclusive deep inelastic scattering processes at one-loop order is studied and the QCD resummation formalisms for these observables are derived following the Collins-Soper-Sterman method.

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.

Figures (2)

• Figure 1: Generic Feynman diagram contribution to the impact parameter space structure function $\widetilde{W}_{UT}(Q,b)$.
• Figure 2: Leading order Born diagram calculation of $\widetilde{W}_{UT}(Q,b)$.