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

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:

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)

Publication Date:: Wed Jan 13 00:00:00 EST 2016

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

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:: 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.

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                    Kang, Zhong-Bo, Prokudin, Alexei, Sun, Peng, & Yuan, Feng. Extraction of quark transversity distribution and Collins fragmentation functions with QCD evolution.  United States.  https://doi.org/10.1103/PhysRevD.93.014009

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                    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.  https://doi.org/10.1103/PhysRevD.93.014009.  https://www.osti.gov/servlets/purl/1235653.

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@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},

  number       = 1,

  volume       = 93,

  place        = {United States},

  year         = {Wed Jan 13 00:00:00 EST 2016},

  month        = {Wed Jan 13 00:00:00 EST 2016}

}

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Energy Evolution for the Sivers Asymmetries in Hard Processes
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Collins and Sivers asymmetries in muonproduction of pions and kaons off transversely polarised proton
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arXiv
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Scheme dependence and Transverse Momentum Distribution interpretation of Collins-Soper-Sterman resummation
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Metz, A.
arXiv
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Bacchetta, Alessandro; D'Alesio, Umberto; Diehl, Markus
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Probing exotic phenomena at the interface of nuclear and particle physics with the electric dipole moments of diamagnetic atoms: A unique window to hadronic and semi-leptonic CP violation
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First Extraction of Transversity from a Global Analysis of Electron-Proton and Proton-Proton Data
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Radici, Marco; Bacchetta, Alessandro
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Nucleon charges with dynamical overlap fermions
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Yamanaka, Nodoka; Hashimoto, Shoji; Kaneko, Takashi
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Transversity parton distribution functions from lattice QCD
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Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
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A guide to light-cone PDFs from Lattice QCD: an overview of approaches, techniques and results
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Title: Extraction of quark transversity distribution and Collins fragmentation functions with QCD evolution

Abstract

Citation Formats

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

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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

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

Foundations of Perturbative QCD book, May 2011

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

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

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

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

Fragmentation of transversely polarized quarks probed in transverse momentum distributions
journal, May 1993

Sudakov suppression in azimuthal spin asymmetries
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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
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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
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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

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

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

Single Spin Asymmetries in Charged Pion Production from Semi-Inclusive Deep Inelastic Scattering on a Transversely Polarized ${}^{3}{He}$ Target at $Q^{2} = 1.4 - 2.7 {GeV}^{2}$
journal, August 2011

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

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 $\sqrt{s} = 10.58 GeV$
journal, August 2008

Role of Collins effect in the single spin asymmetry $A_{N}$ in $p^{↑} p \to h$ $X$ 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

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

Foundations of Perturbative QCD
book, May 2011

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

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

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