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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