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Title: Next-to-leading and resummed BFKL evolution with saturation boundary

Abstract

We investigate the effects of the saturation boundary on small-x evolution at the next-to-leading order accuracy and beyond. We demonstrate that the instabilities of the next-to-leading order BFKL evolution are not cured by the presence of the nonlinear saturation effects, and a resummation of the higher order corrections is therefore needed for the nonlinear evolution. The renormalization group improved resummed equation in the presence of the saturation boundary is investigated, and the corresponding saturation scale is extracted. A significant reduction of the saturation scale is found, and we observe that the onset of the saturation corrections is delayed to higher rapidities. This seems to be related to the characteristic feature of the resummed splitting function which at moderately small values of x possesses a minimum.

Authors:
; ; ;
Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL) Riken BNL Research Center
Sponsoring Org.:
USDOE SC OFFICE OF SCIENCE (SC)
OSTI Identifier:
1050421
Report Number(s):
BNL-96839-2012-JA
R&D Project: PO-3; TRN: US1204639
DOE Contract Number:  
DE-AC02-98CH10886
Resource Type:
Journal Article
Journal Name:
Journal of High Energy Physics
Additional Journal Information:
Journal Volume: 2011; Journal Issue: 10
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ACCURACY; RENORMALIZATION; SATURATION; Deep Inelastic Scattering; Hadronic Colliders; QCD; riken bnl research center

Citation Formats

Avsar, E, Stasto, A, Triantafyllopoulos, D N, and Zaslavsky, D. Next-to-leading and resummed BFKL evolution with saturation boundary. United States: N. p., 2011. Web. doi:10.1007/JHEP10(2011)138.
Avsar, E, Stasto, A, Triantafyllopoulos, D N, & Zaslavsky, D. Next-to-leading and resummed BFKL evolution with saturation boundary. United States. https://doi.org/10.1007/JHEP10(2011)138
Avsar, E, Stasto, A, Triantafyllopoulos, D N, and Zaslavsky, D. Fri . "Next-to-leading and resummed BFKL evolution with saturation boundary". United States. https://doi.org/10.1007/JHEP10(2011)138.
@article{osti_1050421,
title = {Next-to-leading and resummed BFKL evolution with saturation boundary},
author = {Avsar, E and Stasto, A and Triantafyllopoulos, D N and Zaslavsky, D},
abstractNote = {We investigate the effects of the saturation boundary on small-x evolution at the next-to-leading order accuracy and beyond. We demonstrate that the instabilities of the next-to-leading order BFKL evolution are not cured by the presence of the nonlinear saturation effects, and a resummation of the higher order corrections is therefore needed for the nonlinear evolution. The renormalization group improved resummed equation in the presence of the saturation boundary is investigated, and the corresponding saturation scale is extracted. A significant reduction of the saturation scale is found, and we observe that the onset of the saturation corrections is delayed to higher rapidities. This seems to be related to the characteristic feature of the resummed splitting function which at moderately small values of x possesses a minimum.},
doi = {10.1007/JHEP10(2011)138},
url = {https://www.osti.gov/biblio/1050421}, journal = {Journal of High Energy Physics},
number = 10,
volume = 2011,
place = {United States},
year = {2011},
month = {10}
}