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

Gamberg, Leonard; Metz, Andreas; Pitonyak, Daniel; Prokudin, Alexei

doi:10.1016/j.physletb.2018.03.024

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

Journal Article · 15 March 2018 · Physics Letters. B

DOI: https://doi.org/10.1016/j.physletb.2018.03.024 · OSTI ID:1426510

^[1]; Metz, Andreas ^[2]; Pitonyak, Daniel ^[1];

^[3]

Penn State Univ. Berks, Reading, PA (United States)
Temple Univ., Philadelphia, PA (United States)
Penn State Univ. Berks, Reading, PA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Here, we extend the improved Collins–Soper–Sterman (iCSS) W+Y construction recently presented in 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-1/2 target. We further outline how this study can be generalized to other polarized quantities.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Penn State Univ. Berks, Reading, PA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: FG02-07ER41460; AC05-06OR23177; PHY-1516088; PHY-1623454

OSTI ID:: 1426510

Alternate ID(s):: OSTI ID: 1439971; OSTI ID: 1773777

Report Number(s):: JLAB-THY-18-2690; DOE/OR/23177-4422; arXiv:1712.08116; PII: S0370269318302132; TRN: US1900707

Journal Information:: Physics Letters. B, Vol. 781, Issue C; ISSN 0370-2693

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 16 works

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

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