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

Abstract

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- limit. 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. We find that the small-x power-law tail of the quark helicity distribution scales as with , in excellent agreement with the numerical estimate obtained previously. We then verify this solution by cross-checking the predicted scaling behavior of the auxiliary “neighbor dipole amplitude” against the numerics, again finding excellent agreement.

Authors:
ORCiD logo; ; ORCiD logo
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); The Ohio State University, Columbus, OH
Sponsoring Org.:
USDOE Office of Science (SC). Nuclear Physics (NP) (SC-26); USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1364064
Alternate Identifier(s):
OSTI ID: 1369207; OSTI ID: 1604437
Report Number(s):
LA-UR-17-22988
Journal ID: ISSN 0370-2693; S0370269317305087; PII: S0370269317305087
Grant/Contract Number:  
AC52-06NA25396; 2012LANL7033; 20160183ER; SC0004286
Resource Type:
Published Article
Journal Name:
Physics Letters B
Additional Journal Information:
Journal Name: Physics Letters B Journal Volume: 772 Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Atomic and Nuclear Physics

Citation Formats

Kovchegov, Yuri V., Pitonyak, Daniel, and Sievert, Matthew D.. Small- x asymptotics of the quark helicity distribution: Analytic results. Netherlands: N. p., 2017. Web. https://doi.org/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. Netherlands. https://doi.org/10.1016/j.physletb.2017.06.032
Kovchegov, Yuri V., Pitonyak, Daniel, and Sievert, Matthew D.. Fri . "Small- x asymptotics of the quark helicity distribution: Analytic results". Netherlands. https://doi.org/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- limit. 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. We find that the small-x power-law tail of the quark helicity distribution scales as with , in excellent agreement with the numerical estimate obtained previously. We then verify this solution by cross-checking the predicted scaling behavior of the auxiliary “neighbor dipole amplitude” against the numerics, again finding excellent agreement.},
doi = {10.1016/j.physletb.2017.06.032},
journal = {Physics Letters B},
number = C,
volume = 772,
place = {Netherlands},
year = {2017},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.physletb.2017.06.032

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Cited by: 4 works
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Works referenced in this record:

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