Connections between collinear and transverse-momentum-dependent polarized observables within the Collins–Soper–Sterman formalism
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) transverse momentum -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.
- 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; S0370269318302132; PII: S0370269318302132
- Journal Information:
- Physics Letters B, Journal Name: Physics Letters B Vol. 781 Journal Issue: C; ISSN 0370-2693
- Publisher:
- ElsevierCopyright Statement
- Country of Publication:
- Netherlands
- Language:
- English
Web of Science
Drell-Yan Process in TMD Factorization
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journal | January 2019 |
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