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Title: Non-linear evolution in QCD at high-energy beyond leading order

Abstract

The standard formulation of the high-energy evolution in perturbative QCD, based on the Balitsky-Kovchegov 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 next-to-leading one. Over the last years, several methods have been devised to resum such corrections by enforcing the time-ordering 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 time-ordering 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 “dilute-dense” scattering. We propose several prescriptions for resumming these new double-logarithms to all orders and find only little schememore » 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 (non-local in rapidity) with the remaining NLO corrections.« less

Authors:
 [1];  [1];  [2];  [1];  [3]
  1. Univ. Paris-Saclay, Gif-sur-Yvette (France)
  2. Columbia Univ., New York, NY (United States)
  3. 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:  
FG02-92ER40699
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 1029-8479
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. Non-linear evolution in QCD at high-energy 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. Non-linear evolution in QCD at high-energy 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 . "Non-linear evolution in QCD at high-energy beyond leading order". United States. doi:10.1007/jhep04(2019)081. https://www.osti.gov/servlets/purl/1610192.
@article{osti_1610192,
title = {Non-linear evolution in QCD at high-energy 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 high-energy evolution in perturbative QCD, based on the Balitsky-Kovchegov 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 next-to-leading one. Over the last years, several methods have been devised to resum such corrections by enforcing the time-ordering 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 time-ordering 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 “dilute-dense” scattering. We propose several prescriptions for resumming these new double-logarithms 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 (non-local in rapidity) with the remaining NLO corrections.},
doi = {10.1007/jhep04(2019)081},
journal = {Journal of High Energy Physics (Online)},
issn = {1029-8479},
number = 4,
volume = 2019,
place = {United States},
year = {2019},
month = {4}
}

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Cited by: 11 works
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Works referenced in this record:

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    journal, October 2019

    • Bierlich, Christian; Rasmussen, Christine O.
    • Journal of High Energy Physics, Vol. 2019, Issue 10
    • DOI: 10.1007/jhep10(2019)026