On systematic effects in the numerical solutions of the JIMWLK equation
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)...
| Main Authors: | , , , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Berlin Heidelberg
2021
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| Online Access: | https://hdl.handle.net/1721.1/136856 |
| _version_ | 1811094218757636096 |
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| author | Calì, Salvatore Cichy, Krzysztof Korcyl, Piotr Kotko, Piotr Kutak, Krzysztof Marquet, Cyrille |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Calì, Salvatore Cichy, Krzysztof Korcyl, Piotr Kotko, Piotr Kutak, Krzysztof Marquet, Cyrille |
| author_sort | Calì, Salvatore |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T15:56:43Z |
| format | Article |
| id | mit-1721.1/136856 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T15:56:43Z |
| publishDate | 2021 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1368562023-09-01T18:58:58Z On systematic effects in the numerical solutions of the JIMWLK equation Calì, Salvatore Cichy, Krzysztof Korcyl, Piotr Kotko, Piotr Kutak, Krzysztof Marquet, Cyrille Massachusetts Institute of Technology. Center for Theoretical Physics 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. 2021-11-01T14:33:49Z 2021-11-01T14:33:49Z 2021-07-29 2021-08-01T03:15:52Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/136856 The European Physical Journal C. 2021 Jul 29;81(7):663 PUBLISHER_CC en https://doi.org/10.1140/epjc/s10052-021-09380-6 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Calì, Salvatore Cichy, Krzysztof Korcyl, Piotr Kotko, Piotr Kutak, Krzysztof Marquet, Cyrille On systematic effects in the numerical solutions of the JIMWLK equation |
| title | On systematic effects in the numerical solutions of the JIMWLK equation |
| title_full | On systematic effects in the numerical solutions of the JIMWLK equation |
| title_fullStr | On systematic effects in the numerical solutions of the JIMWLK equation |
| title_full_unstemmed | On systematic effects in the numerical solutions of the JIMWLK equation |
| title_short | On systematic effects in the numerical solutions of the JIMWLK equation |
| title_sort | on systematic effects in the numerical solutions of the jimwlk equation |
| url | https://hdl.handle.net/1721.1/136856 |
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