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

Abstract

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.

Authors:

; Metz, Andreas; Pitonyak, Daniel;

Publication Date:: Fri Jun 01 00:00:00 EDT 2018

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

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

OSTI Identifier:: 1426510

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

Report Number(s):: JLAB-THY-18-2690; DOE/OR/23177-4422; arXiv:1712.08116
Journal ID: ISSN 0370-2693; S0370269318302132; PII: S0370269318302132

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

Resource Type:: Published Article

Journal Name:: Physics Letters B

Additional Journal Information:: Journal Name: Physics Letters B Journal Volume: 781 Journal Issue: C; Journal ID: ISSN 0370-2693

Publisher:: Elsevier

Country of Publication:: Netherlands

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CSS formalism; TMDs; Collinear twist-3; Transverse spin; 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.  Netherlands: N. p., 2018. 
Web.  doi:10.1016/j.physletb.2018.03.024.

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                    Gamberg, Leonard, Metz, Andreas, Pitonyak, Daniel, & Prokudin, Alexei. Connections between collinear and transverse-momentum-dependent polarized observables within the Collins–Soper–Sterman formalism.  Netherlands.  https://doi.org/10.1016/j.physletb.2018.03.024

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                    Gamberg, Leonard, Metz, Andreas, Pitonyak, Daniel, and Prokudin, Alexei. Fri .  
"Connections between collinear and transverse-momentum-dependent polarized observables within the Collins–Soper–Sterman formalism".  Netherlands.  https://doi.org/10.1016/j.physletb.2018.03.024.

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@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 = {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.},

  doi          = {10.1016/j.physletb.2018.03.024},

  journal      = {Physics Letters B},

  number       = C,

  volume       = 781,

  place        = {Netherlands},

  year         = {Fri Jun 01 00:00:00 EDT 2018},

  month        = {Fri Jun 01 00:00:00 EDT 2018}

}

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Works referencing / citing this record:

$π - N$ Drell-Yan Process in TMD Factorization
journal, January 2019

Wang, Xiaoyu; Lu, Zhun
Advances in High Energy Physics, Vol. 2019
DOI: 10.1155/2019/6734293

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