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

Leonard Gamberg, Andreas Metz, Daniel Pitonyak, Alexei Prokudin

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

We extend the improved Collins–Soper–Sterman (iCSS) W+Y construction recently presented in [1] 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) qT-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-[Formula presented] target. We further outline how this study can be generalized to other polarized quantities.

Original languageEnglish (US)
Pages (from-to)443-454
Number of pages12
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume781
DOIs
StatePublished - Jun 10 2018

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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