Two-gluon correlations in heavy–light ion collisions: Energy and geometry dependence, IR divergences, and k T -factorization
Abstract
Here, we study the properties of the cross section for two-gluon production in heavy–light ion collisions derived in our previous paper in the saturation/Color Glass Condensate framework. Concentrating on the energy and geometry dependence of the corresponding correlation functions we find that the two-gluon correlator is a much slower function of the center-of-mass energy than the one- and two-gluon production cross sections. The geometry dependence of the correlation function leads to stronger azimuthal near- and away-side correlations in the tip-on-tip U + U collisions than in the side-on-side U + U collisions, an exactly opposite behavior from the correlations generated by the elliptic flow of the quark–gluon plasma: a study of azimuthal correlations in the U + U collisions may thus help to disentangle the two sources of correlations. We demonstrate that the cross section for two-gluon production in heavy–light ion collisions contains a power-law infrared (IR) divergence even for fixed produced gluon momenta: while saturation effects in the target regulate some of the power-law IR-divergent terms in the lowest-order expression for the two-gluon correlator, other power-law IR-divergent terms remain, possibly due to absence of saturation effects in the dilute projectile. Finally we rewrite our result for the two-gluon productionmore »
- Authors:
-
- The Ohio State Univ., Columbus, OH (United States)
- Publication Date:
- Research Org.:
- The Ohio State Univ., Columbus, OH (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1604451
- Grant/Contract Number:
- SC0004286
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nuclear Physics. A
- Additional Journal Information:
- Journal Volume: 925; Journal Issue: C; Journal ID: ISSN 0375-9474
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Parton saturation; Color glass condensate; Gluon production; High energy collisions
Citation Formats
Kovchegov, Yuri V., and Wertepny, Douglas E. Two-gluon correlations in heavy–light ion collisions: Energy and geometry dependence, IR divergences, and kT-factorization. United States: N. p., 2014.
Web. doi:10.1016/j.nuclphysa.2014.02.021.
Kovchegov, Yuri V., & Wertepny, Douglas E. Two-gluon correlations in heavy–light ion collisions: Energy and geometry dependence, IR divergences, and kT-factorization. United States. https://doi.org/10.1016/j.nuclphysa.2014.02.021
Kovchegov, Yuri V., and Wertepny, Douglas E. Mon .
"Two-gluon correlations in heavy–light ion collisions: Energy and geometry dependence, IR divergences, and kT-factorization". United States. https://doi.org/10.1016/j.nuclphysa.2014.02.021. https://www.osti.gov/servlets/purl/1604451.
@article{osti_1604451,
title = {Two-gluon correlations in heavy–light ion collisions: Energy and geometry dependence, IR divergences, and kT-factorization},
author = {Kovchegov, Yuri V. and Wertepny, Douglas E.},
abstractNote = {Here, we study the properties of the cross section for two-gluon production in heavy–light ion collisions derived in our previous paper in the saturation/Color Glass Condensate framework. Concentrating on the energy and geometry dependence of the corresponding correlation functions we find that the two-gluon correlator is a much slower function of the center-of-mass energy than the one- and two-gluon production cross sections. The geometry dependence of the correlation function leads to stronger azimuthal near- and away-side correlations in the tip-on-tip U + U collisions than in the side-on-side U + U collisions, an exactly opposite behavior from the correlations generated by the elliptic flow of the quark–gluon plasma: a study of azimuthal correlations in the U + U collisions may thus help to disentangle the two sources of correlations. We demonstrate that the cross section for two-gluon production in heavy–light ion collisions contains a power-law infrared (IR) divergence even for fixed produced gluon momenta: while saturation effects in the target regulate some of the power-law IR-divergent terms in the lowest-order expression for the two-gluon correlator, other power-law IR-divergent terms remain, possibly due to absence of saturation effects in the dilute projectile. Finally we rewrite our result for the two-gluon production cross-section in a kT-factorized form, obtaining a new factorized expression involving a convolution of one- and two-gluon Wigner distributions over both the transverse momenta and impact parameters. Lastly, we show that the two-gluon production cross-section depends on two different types of unintegrated two-gluon Wigner distribution functions.},
doi = {10.1016/j.nuclphysa.2014.02.021},
journal = {Nuclear Physics. A},
number = C,
volume = 925,
place = {United States},
year = {Mon Mar 03 00:00:00 EST 2014},
month = {Mon Mar 03 00:00:00 EST 2014}
}
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