Helicitydependent generalization of the JIMWLK evolution
Abstract
We generalize the JIMWLK evolution equation to include the small$$x$$ evolution of helicity distributions. To derive helicity JIMWLK, we use the method devised by A.H. Mueller in [Phys. Lett. B 523, 243 (2001)] for the usual unpolarized JIMWLK, and apply it to the helicity evolution equations derived in J. High Energy Phys. 01 (2016) 072; Phys. Rev. D 95, 014033 (2017); J. High Energy Phys. 10 (2017) 198; Phys. Rev. D 99, 054032 (2019)]. We obtain a functional evolution equation for the generalized JIMWLK weight functional. The functional now is a sum of a helicityindependent term and a helicitydependent term. The kernel of the new evolution equation consists of the standard eikonal leadingorder JIMWLK kernel plus new terms containing derivatives with respect to the subeikonal quark and gluon fields. The new kernel we derive can be used to generate the standard JIMWLK evolution and to construct small$$x$$ evolution equations for flavorsinglet operators made of any number of lightcone Wilson lines along with one Wilson line containing subeikonal helicitydependent local operator insertions (a "polarized Wilson line").
 Authors:

 The Ohio State Univ., Columbus, OH (United States). Dept. of Physics
 Publication Date:
 Research Org.:
 The Ohio State Univ., Columbus, OH (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Nuclear Physics (NP)
 OSTI Identifier:
 1579283
 Alternate Identifier(s):
 OSTI ID: 1604157
 Grant/Contract Number:
 SC0004286
 Resource Type:
 Published Article
 Journal Name:
 Physical Review D
 Additional Journal Information:
 Journal Volume: 100; Journal Issue: 11; Journal ID: ISSN 24700010
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; perturbative QCD; proton spin; helicity; ElectronIon Collider
Citation Formats
Cougoulic, Florian, and Kovchegov, Yuri V. Helicitydependent generalization of the JIMWLK evolution. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.100.114020.
Cougoulic, Florian, & Kovchegov, Yuri V. Helicitydependent generalization of the JIMWLK evolution. United States. https://doi.org/10.1103/PhysRevD.100.114020
Cougoulic, Florian, and Kovchegov, Yuri V. Wed .
"Helicitydependent generalization of the JIMWLK evolution". United States. https://doi.org/10.1103/PhysRevD.100.114020.
@article{osti_1579283,
title = {Helicitydependent generalization of the JIMWLK evolution},
author = {Cougoulic, Florian and Kovchegov, Yuri V.},
abstractNote = {We generalize the JIMWLK evolution equation to include the small$x$ evolution of helicity distributions. To derive helicity JIMWLK, we use the method devised by A.H. Mueller in [Phys. Lett. B 523, 243 (2001)] for the usual unpolarized JIMWLK, and apply it to the helicity evolution equations derived in J. High Energy Phys. 01 (2016) 072; Phys. Rev. D 95, 014033 (2017); J. High Energy Phys. 10 (2017) 198; Phys. Rev. D 99, 054032 (2019)]. We obtain a functional evolution equation for the generalized JIMWLK weight functional. The functional now is a sum of a helicityindependent term and a helicitydependent term. The kernel of the new evolution equation consists of the standard eikonal leadingorder JIMWLK kernel plus new terms containing derivatives with respect to the subeikonal quark and gluon fields. The new kernel we derive can be used to generate the standard JIMWLK evolution and to construct small$x$ evolution equations for flavorsinglet operators made of any number of lightcone Wilson lines along with one Wilson line containing subeikonal helicitydependent local operator insertions (a "polarized Wilson line").},
doi = {10.1103/PhysRevD.100.114020},
journal = {Physical Review D},
number = 11,
volume = 100,
place = {United States},
year = {2019},
month = {12}
}
https://doi.org/10.1103/PhysRevD.100.114020
Web of Science
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