skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Abstract

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.

Authors:
 [1];  [2];  [3];  [3]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Penn State Berks, Reading, PA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  3. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1235653
Alternate Identifier(s):
OSTI ID: 1235624; OSTI ID: 1379224
Report Number(s):
JLAB-THY-15-2044; DOE/OR/23177-3357; arXiv:1505.05589
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:  
AC02-05CH11231; AC52-06NA25396; AC05-06OR23177
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 93; Journal Issue: 1; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Kang, Zhong-Bo, Prokudin, Alexei, Sun, Peng, and Yuan, Feng. Extraction of quark transversity distribution and Collins fragmentation functions with QCD evolution. United States: N. p., 2016. Web. doi:10.1103/PhysRevD.93.014009.
Kang, Zhong-Bo, Prokudin, Alexei, Sun, Peng, & Yuan, Feng. Extraction of quark transversity distribution and Collins fragmentation functions with QCD evolution. United States. doi:10.1103/PhysRevD.93.014009.
Kang, Zhong-Bo, Prokudin, Alexei, Sun, Peng, and Yuan, Feng. Wed . "Extraction of quark transversity distribution and Collins fragmentation functions with QCD evolution". United States. doi:10.1103/PhysRevD.93.014009. https://www.osti.gov/servlets/purl/1235653.
@article{osti_1235653,
title = {Extraction of quark transversity distribution and Collins fragmentation functions with QCD evolution},
author = {Kang, Zhong-Bo and Prokudin, Alexei and Sun, Peng and Yuan, Feng},
abstractNote = {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.},
doi = {10.1103/PhysRevD.93.014009},
journal = {Physical Review D},
issn = {2470-0010},
number = 1,
volume = 93,
place = {United States},
year = {2016},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 31 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Factorization and resummation of Higgs boson differential distributions in soft-collinear effective theory
journal, May 2010


Sudakov suppression in azimuthal spin asymmetries
journal, June 2001


Strategy towards the extraction of the Sivers function with transverse momentum dependent evolution
journal, July 2012


Extraction of spin-dependent parton densities and their uncertainties
journal, August 2009


Quark helicity flip generalized parton distributions from two-flavor lattice QCD
journal, October 2005


Leading-twist single-transverse-spin asymmetries: Drell–Yan and deep-inelastic scattering
journal, May 2002


Nucleon charges and electromagnetic form factors from 2 + 1 + 1 -flavor lattice QCD
journal, May 2014


TMDlib and TMDplotter: library and plotting tools for transverse-momentum-dependent parton distributions
journal, December 2014


Nucleon isovector couplings from N f = 2 lattice QCD
journal, March 2015


Tensor charge of the nucleon
journal, September 1995


QCD factorization for semi-inclusive deep-inelastic scattering at low transverse momentum
journal, February 2005


Resummation for polarized semi-inclusive deep-inelastic scattering at small transverse momentum
journal, June 2006


Gluon-exchange in spin-dependent fragmentation
journal, November 2002


Next-to-leading order QCD evolution of transversity fragmentation functions
journal, January 2002


Model independent evolution of transverse momentum dependent distribution functions (TMDs) at NNLL
journal, November 2013


Collins-Soper equation for the energy evolution of transverse-momentum and spin dependent parton distributions
journal, October 2004


Sum rules for the T -odd fragmentation functions
journal, March 2000


Parton-to-pion fragmentation reloaded
journal, January 2015


QCD evolution of the Sivers function
journal, February 2012


Transverse polarisation of quarks in hadrons
journal, March 2002


Minuit - a system for function minimization and analysis of the parameter errors and correlations
journal, December 1975


Nucleon tensor charge from Collins azimuthal asymmetry measurements
journal, April 2015


The Q2 evolution of Soffer inequality
journal, February 1998


Polarized hadron pair production from electron-positron annihilation
journal, March 2014


Semi-inclusive deeply inelastic scattering at small q T
journal, August 1996

  • Meng, Ruibin; Olness, Fredrick I.; Soper, Davison E.
  • Physical Review D, Vol. 54, Issue 3
  • DOI: 10.1103/PhysRevD.54.1919

Update on transversity and Collins functions from SIDIS and data
journal, June 2009


Transversely polarized parton densities, their evolution and their measurement
journal, December 1990

  • Artru, X.; Mekhfi, M.
  • Zeitschrift für Physik C Particles and Fields, Vol. 45, Issue 4
  • DOI: 10.1007/BF01556280

Universality of Soft and Collinear Factors in Hard-Scattering Factorization
journal, December 2004


Nucleon tensor charges and electric dipole moments
journal, April 2015


Semi-inclusive deep inelastic scattering at small transverse momentum
journal, February 2007


First extraction of valence transversities in a collinear framework
journal, March 2013

  • Bacchetta, Alessandro; Courtoy, A.; Radici, Marco
  • Journal of High Energy Physics, Vol. 2013, Issue 3
  • DOI: 10.1007/JHEP03(2013)119

Soft factor subtraction and transverse momentum dependent parton distributions on the lattice
journal, April 2015


Hard-scattering scaling laws for single-spin production asymmetries
journal, January 1991


Partonic Pole Matrix Elements for Fragmentation
journal, May 2009


Single-spin production asymmetries from the hard scattering of pointlike constituents
journal, January 1990


Single-spin asymmetries: The Trento conventions
journal, December 2004


Global analysis of fragmentation functions for pions and kaons and their uncertainties
journal, June 2007


QCD Prediction for Heavy Boson Transverse Momentum Distributions
journal, March 2001


New positivity bounds on polarized parton distributions in multicolored QCD
journal, October 2000


Measurement of azimuthal asymmetries in inclusive production of hadron pairs in e + e annihilation at s = 10.58 GeV
journal, August 2008


Role of Collins effect in the single spin asymmetry A N in p p h X processes
journal, October 2012


Observation of the Naive- T -Odd Sivers Effect in Deep-Inelastic Scattering
journal, October 2009


Soft and collinear factorization and transverse momentum dependent parton distribution functions
journal, November 2013


Back-to-back jets in QCD
journal, December 1981


Limits on transverse momentum dependent evolution from semi-inclusive deep inelastic scattering at moderate Q
journal, May 2014


Energy evolution for the Sivers asymmetries in hard processes
journal, August 2013


Infrared divergences and non-lightlike eikonal lines in Sudakov processes
journal, January 2000


Factorization theorem for Drell-Yan at low q T and transverse-momentum distributions on-the-light-cone
journal, July 2012

  • Echevarría, Miguel G.; Idilbi, Ahmad; Scimemi, Ignazio
  • Journal of High Energy Physics, Vol. 2012, Issue 7
  • DOI: 10.1007/JHEP07(2012)002

New parton distributions for collider physics
journal, October 2010


On the anomalous dimension of the transversity distribution $h_1(x,Q^2)$
journal, May 2001


QCD Resummation for Single Spin Asymmetries
journal, October 2011


Joint resummation for Higgs boson production
journal, January 2004


Transversity and Collins functions from SIDIS and e + e data
journal, March 2007


Next-to-leading order evolution of transversity distributions and Soffer’s inequality
journal, February 1998


Positivity Constraints for Spin-Dependent Parton Distributions
journal, February 1995


Parton distributions for the LHC
journal, July 2009


Momentum sum rules for fragmentation functions
journal, June 2010


Transverse momentum dependent parton distribution and fragmentation functions with QCD evolution
journal, June 2011


Measurement of Azimuthal Asymmetries in Inclusive Production of Hadron Pairs in e + e Annihilation at Belle
journal, June 2006


Joint resummation in electroweak boson production
journal, July 2002


Future Results on Fragmentation Functions from BESIII
journal, January 2015


A Survey of Polarization Asymmetries Predicted by QCD
journal, January 1981

  • Baldracchini, F.; Craigie, N. S.; Roberto, V.
  • Fortschritte der Physik, Vol. 29, Issue 11-12
  • DOI: 10.1002/prop.19810291102

Flavor-Spin Symmetry Estimate of the Nucleon Tensor Charge
journal, November 2001


Sivers effect for pion and kaon production in semi-inclusive deep inelastic scattering
journal, December 2008


Transverse momentum distribution in Drell-Yan pair and W and Z boson production
journal, January 1985


A formalism for the systematic treatment of rapidity logarithms in Quantum Field Theory
journal, May 2012

  • Chiu, Jui-Yu; Jain, Ambar; Neill, Duff
  • Journal of High Energy Physics, Vol. 2012, Issue 5
  • DOI: 10.1007/JHEP05(2012)084

QCD evolution of naive-time-reversal-odd fragmentation functions
journal, February 2011


Semi-inclusive hadron production at DESY HERA: The effect of QCD gluon resummation
journal, November 1999


Role of the nonperturbative input in QCD resummed Drell-Yan Q T distributions
journal, April 2001


First Glances at the Transversity Parton Distribution through Dihadron Fragmentation Functions
journal, June 2011


Physics opportunities with the 12 GeV upgrade at Jefferson Lab
journal, December 2012


Chiral-odd parton distributions and polarized Drell-Yan process
journal, July 1991


QCD evolution of the Sivers asymmetry
journal, April 2014


Nucleon isovector structure functions in ( 2 + 1 )-flavor QCD with domain wall fermions
journal, July 2010


Unified treatment of the QCD evolution of all (un-)polarized transverse momentum dependent functions: Collins function as a study case
journal, July 2014


Scheme dependence and transverse momentum distribution interpretation of Collins–Soper–Sterman resummation
journal, November 2015


Simultaneous extraction of transversity and Collins functions from new semi-inclusive deep inelastic scattering and e + e data
journal, May 2013


Angular dependences in inclusive two-hadron production at BELLE
journal, January 2009


Single-Spin Asymmetries in Semi-Inclusive Deep-Inelastic Scattering on a Transversely Polarized Hydrogen Target
journal, January 2005


On the QCD evolution of the transversity distribution
journal, September 1997


Measurement of Collins asymmetries in inclusive production of charged pion pairs in e + e annihilation at BABAR
journal, September 2014


Semi-inclusive deeply inelastic scattering at electron-proton colliders
journal, March 1992


Bessel-weighted asymmetries in semi-inclusive deep inelastic scattering
journal, October 2011

  • Boer, D.; Gamberg, L.; Musch, B. U.
  • Journal of High Energy Physics, Vol. 2011, Issue 10
  • DOI: 10.1007/JHEP10(2011)021

I – Experimental investigation of transverse spin asymmetries in μ-p SIDIS processes: Collins asymmetries
journal, October 2012


A Higher Order Perturbative Parton Evolution Toolkit (HOPPET)
journal, January 2009


Probing novel scalar and tensor interactions from (ultra)cold neutrons to the LHC
journal, March 2012


Effects of transversity in deep-inelastic scattering by polarized protons
journal, September 2010


Transverse spin distribution function of the nucleon in chiral theory
journal, December 1996


Unified Picture for Single Transverse-Spin Asymmetries in Hard-Scattering Processes
journal, August 2006


Beyond-Standard-Model Tensor Interaction and Hadron Phenomenology
journal, October 2015


Soft-gluon resummation for Higgs boson production at hadron colliders
journal, July 2003

  • Catani, Stefano; Florian, Daniel de; Grazzini, Massimiliano
  • Journal of High Energy Physics, Vol. 2003, Issue 07
  • DOI: 10.1088/1126-6708/2003/07/028

Collins and Sivers asymmetries in muonproduction of pions and kaons off transversely polarised protons
journal, May 2015


Improved extraction of valence transversity distributions from inclusive dihadron production
journal, May 2015

  • Radici, Marco; Courtoy, A.; Bacchetta, Alessandro
  • Journal of High Energy Physics, Vol. 2015, Issue 5
  • DOI: 10.1007/JHEP05(2015)123

Final-state interactions and single-spin asymmetries in semi-inclusive deep inelastic scattering
journal, March 2002


Evidence for Polarization of Gluons in the Proton
journal, July 2014


Single transverse-spin asymmetry in Drell-Yan production at large and moderate transverse momentum
journal, May 2006


Quark tensor charge and electric dipole moment within the Schwinger-Dyson formalism
journal, October 2013


Fermilab Tevatron run-1 Z boson data and the Collins-Soper-Sterman resummation formalism
journal, April 2003


Next-to-leading order Q 2 evolution of the transversity distribution h 1 ( x , Q 2 )
journal, December 1997


Tools for model-independent bounds in direct dark matter searches
journal, October 2013

  • Cirelli, Marco; Nobile, Eugenio Del; Panci, Paolo
  • Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 10
  • DOI: 10.1088/1475-7516/2013/10/019

Drell–Yan production at small q T , transverse parton distributions and the collinear anomaly
journal, June 2011


Spectral analysis of gluonic pole matrix elements for fragmentation
journal, June 2008


Asymmetries in polarized hadron production in e+e− annihilation up to order
journal, October 1997


Time-reversal odd distribution functions in leptoproduction
journal, May 1998


Drell-Yan processes, transversity, and light-cone wave functions
journal, August 2007


Twist-three fragmentation function contribution to the single spin asymmetry in pp collisions
journal, August 2010


QCD factorization for spin-dependent cross sections in DIS and Drell–Yan processes at low transverse momentum
journal, September 2004


Collins Function and the Single Transverse Spin Asymmetry
journal, July 2009


Collins and Sivers asymmetries for pions and kaons in muon–deuteron DIS
journal, March 2009


Calculation of Transverse-Momentum-Dependent Evolution for Sivers Transverse Single Spin Asymmetry Measurements
journal, June 2012


Nucleon scalar and tensor charges from lattice QCD with light Wilson quarks
journal, December 2012


Universality of non-leading logarithmic contributions in transverse-momentum distributions
journal, February 2001


General helicity formalism for semi-inclusive deep inelastic scattering
journal, June 2011


Evolution of the helicity and transversity. Transverse-momentum-dependent parton distributions
journal, October 2013


The qT spectrum of the Higgs boson at the LHC in QCD perturbation theory
journal, July 2003


Production of dimuons from high-energy polarized proton-proton collisions
journal, May 1979