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

Abstract

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.

Authors:
ORCiD logo [1];  [2];  [1]; ORCiD logo [3]
  1. Penn State Univ. Berks, Reading, PA (United States)
  2. Temple Univ., Philadelphia, PA (United States)
  3. Penn State Univ. Berks, Reading, PA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1426510
Alternate Identifier(s):
OSTI ID: 1439971
Report Number(s):
JLAB-THY-18-2690; DOE/OR/23177-4422; arXiv:1712.08116
Journal ID: ISSN 0370-2693; PII: S0370269318302132
Grant/Contract Number:  
FG02-07ER41460; AC05-06OR23177; PHY-1516088; PHY-1623454
Resource Type:
Journal Article: Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 781; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CSS formalism; TMDs; Collinear twist-3; Transverse spin

Citation Formats

Gamberg, Leonard, Metz, Andreas, Pitonyak, Daniel, and Prokudin, Alexei. Connections between collinear and transverse-momentum-dependent polarized observables within the Collins–Soper–Sterman formalism. United States: N. p., 2018. Web. doi:10.1016/j.physletb.2018.03.024.
Gamberg, Leonard, Metz, Andreas, Pitonyak, Daniel, & Prokudin, Alexei. Connections between collinear and transverse-momentum-dependent polarized observables within the Collins–Soper–Sterman formalism. United States. doi:10.1016/j.physletb.2018.03.024.
Gamberg, Leonard, Metz, Andreas, Pitonyak, Daniel, and Prokudin, Alexei. Thu . "Connections between collinear and transverse-momentum-dependent polarized observables within the Collins–Soper–Sterman formalism". United States. doi:10.1016/j.physletb.2018.03.024.
@article{osti_1426510,
title = {Connections between collinear and transverse-momentum-dependent polarized observables within the Collins–Soper–Sterman formalism},
author = {Gamberg, Leonard and Metz, Andreas and Pitonyak, Daniel and Prokudin, Alexei},
abstractNote = {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) 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-1/2 target. We further outline how this study can be generalized to other polarized quantities.},
doi = {10.1016/j.physletb.2018.03.024},
journal = {Physics Letters. Section B},
issn = {0370-2693},
number = C,
volume = 781,
place = {United States},
year = {2018},
month = {3}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1016/j.physletb.2018.03.024

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