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

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.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

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

OSTI ID:: 1235653

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

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

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

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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