Extraction of quark transversity distribution and Collins fragmentation functions with QCD evolution

Kang, Zhong-Bo; Prokudin, Alexei; Sun, Peng; Yuan, Feng

doi:10.1103/PhysRevD.93.014009

Title: Extraction of quark transversity distribution and Collins fragmentation functions with QCD evolution

Journal Article · Wed Jan 13 00:00:00 EST 2016 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.93.014009· OSTI ID:1235653

Kang, Zhong-Bo ^[1]; Prokudin, Alexei ^[2]; Sun, Peng ^[3]; Yuan, Feng ^[3]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Penn State Berks, Reading, PA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

In this paper, we study the transverse momentum dependent (TMD) evolution of the Collins azimuthal asymmetries in e⁺e^- annihilations and semi-inclusive hadron production in deep inelastic scattering (SIDIS) processes. All the relevant coefficients are calculated up to the next-to-leading logarithmic (NLL) order accuracy. By applying the TMD evolution at the approximate NLL order in the Collins- Soper-Sterman (CSS) formalism, we extract transversity distributions for u and d quarks and Collins fragmentation functions from current experimental data by a global analysis of the Collins asymmetries in back-to-back di-hadron productions in e⁺e^- annihilations measured by BELLE and BABAR Collaborations and SIDIS data from HERMES, COMPASS, and JLab HALL A experiments. The impact of the evolution effects and the relevant theoretical uncertainties are discussed. We further discuss the TMD interpretation for our results, and illustrate the unpolarized quark distribution, transversity distribution, unpolarized quark fragmentation and Collins fragmentation functions depending on the transverse momentum and the hard momentum scale. Finally, we give predictions and discuss impact of future experiments.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

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

Grant/Contract Number:: AC02-05CH11231; AC52-06NA25396; AC05-06OR23177

OSTI ID:: 1235653

Alternate ID(s):: OSTI ID: 1235624; OSTI ID: 1379224

Report Number(s):: JLAB-THY-15-2044; DOE/OR/23177-3357; arXiv:1505.05589; PRVDAQ

Journal Information:: Physical Review D, Vol. 93, Issue 1; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 147 works

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First extraction of valence transversities in a collinear framework Bacchetta, Alessandro; Courtoy, A.; Radici, Marco arXiv https://doi.org/10.48550/arxiv.1212.3568	text	January 2012
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Soft Factor Subtraction and Transverse Momentum Dependent Parton Distributions on Lattice Ji, Xiangdong; Sun, Peng; Xiong, Xiaonu arXiv https://doi.org/10.48550/arxiv.1405.7640	text	January 2014
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Scheme dependence and Transverse Momentum Distribution interpretation of Collins-Soper-Sterman resummation Prokudin, Alexei; Sun, Peng; Yuan, Feng arXiv https://doi.org/10.48550/arxiv.1505.05588	text	January 2015
Final-State Interactions and Single-Spin Asymmetries in Semi-Inclusive Deep Inelastic Scattering Brodsky, Stanley J.; Hwang, Dae Sung; Schmidt, Ivan arXiv https://doi.org/10.48550/arxiv.hep-ph/0201296	text	January 2002
Gluon-Exchange in Spin-Dependent Fragmentation Metz, A. arXiv https://doi.org/10.48550/arxiv.hep-ph/0209054	text	January 2002
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Time-reversal odd distribution functions in leptoproduction Boer, D.; Mulders, P. J. arXiv https://doi.org/10.48550/arxiv.hep-ph/9711485	text	January 1997

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