scholarly journals Pomeron loop and running coupling effects in high energy QCD evolution

2007 ◽  
Vol 2007 (08) ◽  
pp. 062-062 ◽  
Author(s):  
Adrian Dumitru ◽  
Edmond Iancu ◽  
Licinio Portugal ◽  
Gregory Soyez ◽  
Dionysis N Triantafyllopoulos
Keyword(s):  
High Energy ◽  
Coupling Effects ◽  
Running Coupling

scholarly journals Expanding running coupling effects in the hard Pomeron

2002 ◽  
Vol 66 (5) ◽  
Author(s):  
M. Ciafaloni ◽  
D. Colferai ◽  
G. P. Salam ◽  
A. M. Staśto
Keyword(s):  
Coupling Effects ◽  
Running Coupling

scholarly journals On systematic effects in the numerical solutions of the JIMWLK equation

2021 ◽  
Vol 81 (7) ◽  
Author(s):  
Salvatore Calì ◽  
Krzysztof Cichy ◽  
Piotr Korcyl ◽  
Piotr Kotko ◽  
Krzysztof Kutak ◽  
...  
Keyword(s):  
Numerical Solutions ◽  
High Energy ◽  
Gluon Density ◽  
Longitudinal Momentum ◽  
Coupling Constant ◽  
Longitudinal Momentum Fraction ◽  
Running Coupling ◽  
Systematic Effects ◽  
Gluon Distributions ◽  
Comprehensive Study

AbstractIn the high energy limit of hadron collisions, the evolution of the gluon density in the longitudinal momentum fraction can be deduced from the Balitsky hierarchy of equations or, equivalently, from the nonlinear Jalilian–Marian–Iancu–McLerran–Weigert–Leonidov–Kovner (JIMWLK) equation. The solutions of the latter can be studied numerically by using its reformulation in terms of a Langevin equation. In this paper, we present a comprehensive study of systematic effects associated with the numerical framework, in particular the ones related to the inclusion of the running coupling. We consider three proposed ways in which the running of the coupling constant can be included: “square root” and “noise” prescriptions and the recent proposal by Hatta and Iancu. We implement them both in position and momentum spaces and we investigate and quantify the differences in the resulting evolved gluon distributions. We find that the systematic differences associated with the implementation technicalities can be of a similar magnitude as differences in running coupling prescriptions in some cases, or much smaller in other cases.

scholarly journals QCD running coupling effects for the non-singlet structure function at small x

2000 ◽  
Vol 571 (1-2) ◽  
pp. 137-150 ◽  
Author(s):  
B.I. Ermolaev ◽  
M. Greco ◽  
S.I. Troyan
Keyword(s):  
Structure Function ◽  
Coupling Effects ◽  
Running Coupling ◽  
Small X

scholarly journals Running coupling effects for the singlet structure function g1 at small x

2004 ◽  
Vol 579 (3-4) ◽  
pp. 321-330 ◽  
Author(s):  
B.I Ermolaev ◽  
M Greco ◽  
S.I Troyan
Keyword(s):  
Structure Function ◽  
Coupling Effects ◽  
Running Coupling ◽  
Small X

scholarly journals Running coupling corrections to high energy inclusive gluon production

2011 ◽  
Vol 849 (1) ◽  
pp. 72-97 ◽  
Author(s):  
W.A. Horowitz ◽  
Yuri V. Kovchegov
Keyword(s):  
High Energy ◽  
Running Coupling ◽  
Gluon Production
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