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Title: On the different forms of the kinematical constraint in BFKL

Abstract

We perform a detailed analysis of the different forms of the kinematical constraint imposed on the low x evolution that appear in the literature. We find that all of them generate the same leading anti-collinear poles in Mellin space which agree with BFKL up to NLL order and up to NNLL in N=4 sYM. The coefficients of subleading poles vanish up to NNLL order for all constraints and we prove that this property should be satisfied to all orders. We then demonstrate that the kinematical constraints differ at further subleading orders of poles. We quantify the differences between the different forms of the constraints by performing numerical analysis both in Mellin space and in momentum space. It can be shown that in all three cases BFKL equation can be recast into the differential form, with the argument of the longitudinal variable shifted by the combination of the transverse coordinates.

Authors:
; ; ;
Publication Date:
Research Org.:
Pennsylvania State Univ., University Park, PA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1619363
Alternate Identifier(s):
OSTI ID: 1610239
Grant/Contract Number:  
FG02-93ER40771; SC0002145
Resource Type:
Published Article
Journal Name:
European Physical Journal. C, Particles and Fields
Additional Journal Information:
Journal Name: European Physical Journal. C, Particles and Fields Journal Volume: 79 Journal Issue: 8; Journal ID: ISSN 1434-6044
Publisher:
Springer
Country of Publication:
Germany
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Physics

Citation Formats

Deak, Michal, Kutak, Krzysztof, Li, Wanchen, and Staśto, Anna M. On the different forms of the kinematical constraint in BFKL. Germany: N. p., 2019. Web. https://doi.org/10.1140/epjc/s10052-019-7171-z.
Deak, Michal, Kutak, Krzysztof, Li, Wanchen, & Staśto, Anna M. On the different forms of the kinematical constraint in BFKL. Germany. https://doi.org/10.1140/epjc/s10052-019-7171-z
Deak, Michal, Kutak, Krzysztof, Li, Wanchen, and Staśto, Anna M. Wed . "On the different forms of the kinematical constraint in BFKL". Germany. https://doi.org/10.1140/epjc/s10052-019-7171-z.
@article{osti_1619363,
title = {On the different forms of the kinematical constraint in BFKL},
author = {Deak, Michal and Kutak, Krzysztof and Li, Wanchen and Staśto, Anna M.},
abstractNote = {We perform a detailed analysis of the different forms of the kinematical constraint imposed on the low x evolution that appear in the literature. We find that all of them generate the same leading anti-collinear poles in Mellin space which agree with BFKL up to NLL order and up to NNLL in N=4 sYM. The coefficients of subleading poles vanish up to NNLL order for all constraints and we prove that this property should be satisfied to all orders. We then demonstrate that the kinematical constraints differ at further subleading orders of poles. We quantify the differences between the different forms of the constraints by performing numerical analysis both in Mellin space and in momentum space. It can be shown that in all three cases BFKL equation can be recast into the differential form, with the argument of the longitudinal variable shifted by the combination of the transverse coordinates.},
doi = {10.1140/epjc/s10052-019-7171-z},
journal = {European Physical Journal. C, Particles and Fields},
number = 8,
volume = 79,
place = {Germany},
year = {2019},
month = {8}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1140/epjc/s10052-019-7171-z

Citation Metrics:
Cited by: 4 works
Citation information provided by
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