Connections between collinear and transverse-momentum-dependent polarized observables within the Collins-Soper-Sterman formalism

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.

14 pages, Version to be published in PLB

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Cited by in corpus (16)

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• Matching factorization theorems with an inverse-error weighting
• Updated QCD global analysis of single transverse-spin asymmetries I: Extracting $\tilde{H}$, and the role of the Soffer bound and lattice QCD
• Azimuthal asymmetries in unpolarized SIDIS and Drell-Yan processes: a case study towards TMD factorization at subleading twist
• Parton distribution functions beyond leading twist from lattice QCD: The $h_L(x)$ case
• Transverse $\Lambda$ Polarization in $e^{+}{e}^{-}$ collisions
• Parton rescattering and gluon saturation in dijet production at EIC
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• Transverse momentum moments
• Intrinsic Transverse Momentum and Evolution in Weighted Spin Asymmetries
• Reweighting the Sivers function with jet data from STAR
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• The transverse nucleon single-spin asymmetry for the semi-inclusive production of photons in lepton-nucleon scattering
• Factorized approach to radiative corrections for inelastic lepton-hadron collisions
• $\pi -N$ Drell-Yan process in TMD factorization