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

Title: Helicity evolution at small-x

Abstract

We construct small-x evolution equations which can be used to calculate quark and anti-quark helicity TMDs and PDFs, along with the g1 structure function. These evolution equations resum powers of α s ln 2(1/x) in the polarization-dependent evolution along with the powers of α s ln(1/x) in the unpolarized evolution which includes saturation efects. The equations are written in an operator form in terms of polarization-dependent Wilson line-like operators. While the equations do not close in general, they become closed and self-contained systems of non-linear equations in the large-N c and large-N c & N f limits. As a cross-check, in the ladder approximation, our equations map onto the same ladder limit of the infrared evolution equations for g 1 structure function derived previously by Bartels, Ermolaev and Ryskin.

Authors:
 [1];  [2];  [2]
  1. The Ohio State Univ., Columbus, OH (United States)
  2. Brookhaven National Lab. (BNL), Upton, NY (United States)
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1232702
Alternate Identifier(s):
OSTI ID: 1295201
Report Number(s):
BNL-111624-2015-JA; BNL-112209-2016-JA
Journal ID: ISSN 1029-8479; R&D Project: PO-3
Grant/Contract Number:  
SC00112704
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 1; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; resummation; perturbative QCD

Citation Formats

Kovchegov, Yuri V., Pitonyak, Daniel, and Sievert, Matthew D. Helicity evolution at small-x. United States: N. p., 2016. Web. doi:10.1007/JHEP01(2016)072.
Kovchegov, Yuri V., Pitonyak, Daniel, & Sievert, Matthew D. Helicity evolution at small-x. United States. doi:10.1007/JHEP01(2016)072.
Kovchegov, Yuri V., Pitonyak, Daniel, and Sievert, Matthew D. Wed . "Helicity evolution at small-x". United States. doi:10.1007/JHEP01(2016)072. https://www.osti.gov/servlets/purl/1232702.
@article{osti_1232702,
title = {Helicity evolution at small-x},
author = {Kovchegov, Yuri V. and Pitonyak, Daniel and Sievert, Matthew D.},
abstractNote = {We construct small-x evolution equations which can be used to calculate quark and anti-quark helicity TMDs and PDFs, along with the g1 structure function. These evolution equations resum powers of αs ln2(1/x) in the polarization-dependent evolution along with the powers of αs ln(1/x) in the unpolarized evolution which includes saturation efects. The equations are written in an operator form in terms of polarization-dependent Wilson line-like operators. While the equations do not close in general, they become closed and self-contained systems of non-linear equations in the large-Nc and large-Nc & Nf limits. As a cross-check, in the ladder approximation, our equations map onto the same ladder limit of the infrared evolution equations for g1 structure function derived previously by Bartels, Ermolaev and Ryskin.},
doi = {10.1007/JHEP01(2016)072},
journal = {Journal of High Energy Physics (Online)},
number = 1,
volume = 2016,
place = {United States},
year = {2016},
month = {1}
}

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

Citation Metrics:
Cited by: 11 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Semihard processes in QCD
journal, November 1983


Gluon recombination and shadowing at small values of x
journal, May 1986


Soft gluons in the infinite-momentum wave function and the BFKL pomeron
journal, March 1994


Single and double BFKL pomeron exchange and a dipole picture of high energy hard processes
journal, August 1994


Unitarity and the BFKL pomeron
journal, March 1995


Operator expansion for high-energy scattering
journal, March 1996


The renormalization group equation for the color glass condensate
journal, June 2001


Evolution at small : The color glass condensate
journal, October 2005


Saturation physics and deuteron–gold collisions at RHIC
journal, January 2006


The Color Glass Condensate
journal, November 2010


Gluon saturation and initial conditions for relativistic heavy ion collisions
journal, May 2014


The saturation scale and its x-dependence from Λ polarization studies
journal, January 2009


Polarized hyperons from pA scattering in the gluon saturation regime
journal, March 2003


New mechanism for generating a single transverse spin asymmetry
journal, August 2012


Sudakov Resummation in the Small- x Saturation Formalism
journal, February 2013


Next-to-eikonal corrections in the CGC: gluon production and spin asymmetries in pA collisions
journal, July 2014

  • Altinoluk, Tolga; Armesto, Néstor; Beuf, Guillaume
  • Journal of High Energy Physics, Vol. 2014, Issue 7
  • DOI: 10.1007/JHEP07(2014)068

Evolution of Gluon TMD at Low and Moderate x
journal, January 2015

  • Balitsky, I.; Tarasov, A.
  • International Journal of Modern Physics: Conference Series, Vol. 37
  • DOI: 10.1142/S2010194515600587

Rapidity evolution of gluon TMD from low to moderate x
journal, October 2015


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


An investigation of the spin structure of the proton in deep inelastic scattering of polarised muons on polarised protons
journal, December 1989


The g1 problem: Deep inelastic electron scattering and the spin of the proton
journal, June 1990


Gauge-Invariant Decomposition of Nucleon Spin
journal, January 1997


Proton Spin Structure from Measurable Parton Distributions
journal, October 2012


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


A first unbiased global determination of polarized PDFs and their uncertainties
journal, October 2014


Double logarithmic asymptotics and regge singularities of quark amplitudes with flavour exchange
journal, March 1983


Studying the perturbative Reggeon
journal, January 2000

  • Griffiths, S.; Ross, D. A.
  • The European Physical Journal C, Vol. 12, Issue 2
  • DOI: 10.1007/s100529900240

Baryon stopping and valence quark distribution at small x
journal, January 2004


A two-dimensional model for mesons
journal, June 1974


Quantum chromodynamics and other field theories on the light cone
journal, August 1998


Asymptotic freedom in parton language
journal, August 1977


The dipole picture of high energy scattering, the BFKL equation and many gluon compound states
journal, October 1995


On the small-x evolution of the color quadrupole and the Weizsäcker–Williams gluon distribution
journal, November 2011


Unitarity at small Bjorken x
journal, June 2002


Universal features of JIMWLK and BK evolution at small x
journal, July 2004


Running coupling effects for the singlet structure function g1 at small x
journal, January 2004


Running coupling and power corrections in non-linear evolution at the high-energy limit
journal, March 2007


Triumvirate of running couplings in small-x evolution
journal, March 2007


Subleading- corrections in non-linear small-x evolution
journal, May 2009


    Works referencing / citing this record:

    Non-eikonal corrections to multi-particle production in the color glass condensate
    journal, July 2019


    The spin structure of the nucleon
    journal, June 2019

    • Deur, Alexandre; Brodsky, Stanley J.; de Téramond, Guy F.
    • Reports on Progress in Physics, Vol. 82, Issue 7
    • DOI: 10.1088/1361-6633/ab0b8f