Nonlinear evolution in QCD at highenergy beyond leading order
Abstract
The standard formulation of the highenergy evolution in perturbative QCD, based on the BalitskyKovchegov equation, is known to suffer from severe instabilities associated with radiative corrections enhanced by double transverse logarithms, which occur in all orders starting with the nexttoleading one. Over the last years, several methods have been devised to resum such corrections by enforcing the timeordering of the successive gluon emissions. We observe that the instability problem is not fully cured by these methods: various prescriptions for performing the resummation lead to very different physical results and thus lack of predictive power. We argue that this problem can be avoided by using the rapidity of the dense target (which corresponds to Bjorken x) instead of that of the dilute projectile as an evolution time. This automatically ensures the proper timeordering and also allows for a direct physical interpretation of the results. We explicitly perform this change of variables at NLO. We observe the emergence of a new class of double logarithmic corrections, potentially leading to instabilities, which are however less severe, since disfavoured by the typical BK evolution for “dilutedense” scattering. We propose several prescriptions for resumming these new doublelogarithms to all orders and find only little schememore »
 Authors:

 Univ. ParisSaclay, GifsurYvette (France)
 Columbia Univ., New York, NY (United States)
 European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT*), Villazzano (Italy)
 Publication Date:
 Research Org.:
 Columbia Univ., New York, NY (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC)
 OSTI Identifier:
 1610192
 Grant/Contract Number:
 FG0292ER40699
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Volume: 2019; Journal Issue: 4; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics; Perturbative QCD; Resummation
Citation Formats
Ducloué, B., Iancu, E., Mueller, A. H., Soyez, G., and Triantafyllopoulos, D. N. Nonlinear evolution in QCD at highenergy beyond leading order. United States: N. p., 2019.
Web. doi:10.1007/jhep04(2019)081.
Ducloué, B., Iancu, E., Mueller, A. H., Soyez, G., & Triantafyllopoulos, D. N. Nonlinear evolution in QCD at highenergy beyond leading order. United States. doi:10.1007/jhep04(2019)081.
Ducloué, B., Iancu, E., Mueller, A. H., Soyez, G., and Triantafyllopoulos, D. N. Wed .
"Nonlinear evolution in QCD at highenergy beyond leading order". United States. doi:10.1007/jhep04(2019)081. https://www.osti.gov/servlets/purl/1610192.
@article{osti_1610192,
title = {Nonlinear evolution in QCD at highenergy beyond leading order},
author = {Ducloué, B. and Iancu, E. and Mueller, A. H. and Soyez, G. and Triantafyllopoulos, D. N.},
abstractNote = {The standard formulation of the highenergy evolution in perturbative QCD, based on the BalitskyKovchegov equation, is known to suffer from severe instabilities associated with radiative corrections enhanced by double transverse logarithms, which occur in all orders starting with the nexttoleading one. Over the last years, several methods have been devised to resum such corrections by enforcing the timeordering of the successive gluon emissions. We observe that the instability problem is not fully cured by these methods: various prescriptions for performing the resummation lead to very different physical results and thus lack of predictive power. We argue that this problem can be avoided by using the rapidity of the dense target (which corresponds to Bjorken x) instead of that of the dilute projectile as an evolution time. This automatically ensures the proper timeordering and also allows for a direct physical interpretation of the results. We explicitly perform this change of variables at NLO. We observe the emergence of a new class of double logarithmic corrections, potentially leading to instabilities, which are however less severe, since disfavoured by the typical BK evolution for “dilutedense” scattering. We propose several prescriptions for resumming these new doublelogarithms to all orders and find only little scheme dependence: different prescriptions lead to results which are consistent to each other to the accuracy of interest. We restore full NLO accuracy by completing one of the resummed equations (nonlocal in rapidity) with the remaining NLO corrections.},
doi = {10.1007/jhep04(2019)081},
journal = {Journal of High Energy Physics (Online)},
issn = {10298479},
number = 4,
volume = 2019,
place = {United States},
year = {2019},
month = {4}
}
Web of Science
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Works referencing / citing this record:
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 Bierlich, Christian; Rasmussen, Christine O.
 Journal of High Energy Physics, Vol. 2019, Issue 10