Cali, Salvatore and Cichy, Krzysztof and Korcyl, Piotr and Kotko, Piotr and Kutak, Krzysztof and Marquet, Cyrille (2021) On systematic effects in the numerical solutions of the JIMWLK equation. EUROPEAN PHYSICAL JOURNAL C, 81 (7): 663. ISSN 1434-6044, 1434-6052
Full text not available from this repository. (Request a copy)Abstract
In 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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | NONLINEAR GLUON EVOLUTION; COLOR GLASS CONDENSATE; POMERANCHUK SINGULARITY; ENERGY-DEPENDENCE; MOMENTUM |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 06 Sep 2022 06:43 |
| Last Modified: | 06 Sep 2022 06:43 |
| URI: | https://pred.uni-regensburg.de/id/eprint/47206 |
Actions (login required)
 |
View Item |
