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Title: Helicity evolution at small x : Flavor singlet and nonsinglet observables

We extend our earlier results for the quark helicity evolution at small x to derive the small-x asymptotics of the flavor singlet and flavor nonsinglet quark helicity TMDs and PDFs and of the g 1 structure function. In the flavor singlet case we rederive the evolution equations obtained in our previous paper on the subject, performing additional cross-checks of our results. In the flavor nonsinglet case we construct new small-x evolution equations by employing the large-N c limit. Here, all evolution equations resum double-logarithmic powers of α sln 2(1/x) in the polarization-dependent evolution along with the single-logarithmic powers of α sln(1/x) in the unpolarized evolution which includes saturation effects.
Authors:
 [1] ;  [2] ; ORCiD logo [3]
  1. The Ohio State Univ., Columbus, OH (United States)
  2. Penn State Univ.-Berks, Reading, PA (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
Publication Date:
Report Number(s):
LA-UR-16-27996
Journal ID: ISSN 2470-0010; PRVDAQ; TRN: US1700913
Grant/Contract Number:
AC52-06NA25396; SC0004286; SC0012704
Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 95; Journal Issue: 1; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org:
USDOE Office of Science (SC). Nuclear Physics (NP) (SC-26); USDOE
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Atomic and Nuclear Physics
OSTI Identifier:
1344365
Alternate Identifier(s):
OSTI ID: 1341925

Kovchegov, Yuri V., Pitonyak, Daniel, and Sievert, Matthew D.. Helicity evolution at small x: Flavor singlet and nonsinglet observables. United States: N. p., Web. doi:10.1103/PhysRevD.95.014033.
Kovchegov, Yuri V., Pitonyak, Daniel, & Sievert, Matthew D.. Helicity evolution at small x: Flavor singlet and nonsinglet observables. United States. doi:10.1103/PhysRevD.95.014033.
Kovchegov, Yuri V., Pitonyak, Daniel, and Sievert, Matthew D.. 2017. "Helicity evolution at small x: Flavor singlet and nonsinglet observables". United States. doi:10.1103/PhysRevD.95.014033. https://www.osti.gov/servlets/purl/1344365.
@article{osti_1344365,
title = {Helicity evolution at small x: Flavor singlet and nonsinglet observables},
author = {Kovchegov, Yuri V. and Pitonyak, Daniel and Sievert, Matthew D.},
abstractNote = {We extend our earlier results for the quark helicity evolution at small x to derive the small-x asymptotics of the flavor singlet and flavor nonsinglet quark helicity TMDs and PDFs and of the g1 structure function. In the flavor singlet case we rederive the evolution equations obtained in our previous paper on the subject, performing additional cross-checks of our results. In the flavor nonsinglet case we construct new small-x evolution equations by employing the large-Nc limit. Here, all evolution equations resum double-logarithmic powers of αsln2(1/x) in the polarization-dependent evolution along with the single-logarithmic powers of αsln(1/x) in the unpolarized evolution which includes saturation effects.},
doi = {10.1103/PhysRevD.95.014033},
journal = {Physical Review D},
number = 1,
volume = 95,
place = {United States},
year = {2017},
month = {1}
}