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Title: Helicity evolution at small-x

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:
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
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
Research Org:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; resummation; perturbative QCD
OSTI Identifier:
1232702
Alternate Identifier(s):
OSTI ID: 1295201

Kovchegov, Yuri V., Pitonyak, Daniel, and Sievert, Matthew D.. Helicity evolution at small-x. United States: N. p., 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.. 2016. "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}
}