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Title: Small-x asymptotics of the quark helicity distribution: Analytic results

In this Letter, we analytically solve the evolution equations for the small-x asymptotic behavior of the (flavor singlet) quark helicity distribution in the large- N c limit. Here, these evolution equations form a set of coupled integro-differential equations, which previously could only be solved numerically. This approximate numerical solution, however, revealed simplifying properties of the small-x asymptotics, which we exploit here to obtain an analytic solution.
Authors:
ORCiD logo [1] ;  [2] ; ORCiD logo [3]
  1. The Ohio State Univ., Columbus, OH (United States)
  2. Penn State Univ.-Berks, Reading, PA (United States)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Report Number(s):
LA-UR-17-22988
Journal ID: ISSN 0370-2693
Grant/Contract Number:
AC52-06NA25396; SC0004286; 2012LANL7033; 20160183ER
Type:
Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 772; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
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:
1364064
Alternate Identifier(s):
OSTI ID: 1369207

Kovchegov, Yuri V., Pitonyak, Daniel, and Sievert, Matthew D.. Small-x asymptotics of the quark helicity distribution: Analytic results. United States: N. p., Web. doi:10.1016/j.physletb.2017.06.032.
Kovchegov, Yuri V., Pitonyak, Daniel, & Sievert, Matthew D.. Small-x asymptotics of the quark helicity distribution: Analytic results. United States. doi:10.1016/j.physletb.2017.06.032.
Kovchegov, Yuri V., Pitonyak, Daniel, and Sievert, Matthew D.. 2017. "Small-x asymptotics of the quark helicity distribution: Analytic results". United States. doi:10.1016/j.physletb.2017.06.032.
@article{osti_1364064,
title = {Small-x asymptotics of the quark helicity distribution: Analytic results},
author = {Kovchegov, Yuri V. and Pitonyak, Daniel and Sievert, Matthew D.},
abstractNote = {In this Letter, we analytically solve the evolution equations for the small-x asymptotic behavior of the (flavor singlet) quark helicity distribution in the large- Nc limit. Here, these evolution equations form a set of coupled integro-differential equations, which previously could only be solved numerically. This approximate numerical solution, however, revealed simplifying properties of the small-x asymptotics, which we exploit here to obtain an analytic solution.},
doi = {10.1016/j.physletb.2017.06.032},
journal = {Physics Letters. Section B},
number = C,
volume = 772,
place = {United States},
year = {2017},
month = {6}
}