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Title: When gluons go odd: how classical gluon fields generate odd azimuthal harmonics for the two-gluon correlation function in high-energy collisions

We show that, in the saturation/Color Glass Condensate framework, odd azimuthal harmonics of the two-gluon correlation function with a long-range separation in rapidity are generated by the higher-order saturation corrections in the interactions with the projectile and the target. At the very least, the odd harmonics require three scatterings in the projectile and three scatterings in the target. We derive the leading-order expression for the two-gluon production cross section which generates odd harmonics: the expression includes all-order interactions with the target and three interactions with the projectile. Here, we evaluate the obtained expression both analytically and numerically, confirming that the odd-harmonics contribution to the two-gluon production in the saturation framework is non-zero.
Authors:
 [1] ;  [2]
  1. The Ohio State Univ., Columbus, OH (United States)
  2. Brookhaven National Lab. (BNL), Upton, NY (United States)
Publication Date:
Report Number(s):
RBRC-1272; BNL-203591-2018-JAAM
Journal ID: ISSN 2470--0010
Grant/Contract Number:
SC0012704; SC0004286
Type:
Published Article
Journal Name:
Phys Rev D
Additional Journal Information:
Journal Volume: 97; Journal Issue: 9; Journal ID: ISSN 2470--0010
Research Org:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); RIKEN
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
OSTI Identifier:
1437684
Alternate Identifier(s):
OSTI ID: 1435744

Kovchegov, Yuri V., and Skokov, Vladimir V.. When gluons go odd: how classical gluon fields generate odd azimuthal harmonics for the two-gluon correlation function in high-energy collisions. United States: N. p., Web. doi:10.1103/PhysRevD.97.094021.
Kovchegov, Yuri V., & Skokov, Vladimir V.. When gluons go odd: how classical gluon fields generate odd azimuthal harmonics for the two-gluon correlation function in high-energy collisions. United States. doi:10.1103/PhysRevD.97.094021.
Kovchegov, Yuri V., and Skokov, Vladimir V.. 2018. "When gluons go odd: how classical gluon fields generate odd azimuthal harmonics for the two-gluon correlation function in high-energy collisions". United States. doi:10.1103/PhysRevD.97.094021.
@article{osti_1437684,
title = {When gluons go odd: how classical gluon fields generate odd azimuthal harmonics for the two-gluon correlation function in high-energy collisions},
author = {Kovchegov, Yuri V. and Skokov, Vladimir V.},
abstractNote = {We show that, in the saturation/Color Glass Condensate framework, odd azimuthal harmonics of the two-gluon correlation function with a long-range separation in rapidity are generated by the higher-order saturation corrections in the interactions with the projectile and the target. At the very least, the odd harmonics require three scatterings in the projectile and three scatterings in the target. We derive the leading-order expression for the two-gluon production cross section which generates odd harmonics: the expression includes all-order interactions with the target and three interactions with the projectile. Here, we evaluate the obtained expression both analytically and numerically, confirming that the odd-harmonics contribution to the two-gluon production in the saturation framework is non-zero.},
doi = {10.1103/PhysRevD.97.094021},
journal = {Phys Rev D},
number = 9,
volume = 97,
place = {United States},
year = {2018},
month = {4}
}