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Title Connections between collinear and transverse-momentum-dependent polarized observables within the Collins-Soper-Sterman formalism
Authors Leonard Gamberg, Andreas Metz, Daniel Pitonyak, Alexei Prokudin
JLAB number JLAB-THY-18-2690
LANL number arXiv:1712.08116
Other number DOE/OR/23177-4422
Document Type(s) (Journal Article) 
Associated with EIC: No
Supported by Jefferson Lab LDRD Funding: No
Funding Source: Nuclear Physics (NP)
 

Journal
Compiled for Physics Letters B
Volume 781
Page(s) 443-454
Refereed
Publication Abstract: We extend the improved Collins-Soper-Sterman (iCSS) $W+Y$ construction recently presented in~\cite{Collins:2016hqq} to the case of polarized observables, where we focus in particular on the Sivers effect in semi-inclusive deep-inelastic scattering. We further show how one recovers the expected leading-order collinear twist-3 result from a (weighted) $q_T$-integral of the differential cross section. We are also able to demonstrate the validity of the well-known relation between the (TMD) Sivers function and the (collinear twist-3) Qiu-Sterman function within the iCSS framework. This relation allows for their interpretation as functions yielding the average transverse momentum of unpolarized quarks in a transversely polarized spin-$\frac{1}{2}$ target. We further outline how this study can be generalized to other polarized quantities.
Experiment Numbers:
Group: THEORY CENTER
Document: pdf
DOI: https://doi.org/10.1016/j.physletb.2018.03.024
Accepted Manuscript: 1-s2.0-S0370269318302132-main.pdf Open Access published version
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