One-loop Lipatov vertex in QCD with higher ϵ-accuracy
Abstract The effective Reggeon-Reggeon-gluon vertex, known as Lipatov vertex, is the key ingredient that allows to develop the BFKL approach in QCD. Within the next-to-leading logarithmic approximation, it is sufficient to know its one-loop corrections, in dimensional regularization (D = 4 + 2ϵ), up...
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SpringerOpen
2023-04-01
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Series: | Journal of High Energy Physics |
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Online Access: | https://doi.org/10.1007/JHEP04(2023)137 |
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author | Victor S. Fadin Michael Fucilla Alessandro Papa |
author_facet | Victor S. Fadin Michael Fucilla Alessandro Papa |
author_sort | Victor S. Fadin |
collection | DOAJ |
description | Abstract The effective Reggeon-Reggeon-gluon vertex, known as Lipatov vertex, is the key ingredient that allows to develop the BFKL approach in QCD. Within the next-to-leading logarithmic approximation, it is sufficient to know its one-loop corrections, in dimensional regularization (D = 4 + 2ϵ), up to the constant term in the ϵ-expansion. In the next-to-next-to-leading approximation, however, the one-loop Lipatov vertex is needed up to the order ϵ 2. In this paper we present the expression for this vertex in dimensional regularization up to the required accuracy. |
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id | doaj.art-af29aadc131c459a91cb7f2d5512f167 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-03-12T21:12:14Z |
publishDate | 2023-04-01 |
publisher | SpringerOpen |
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series | Journal of High Energy Physics |
spelling | doaj.art-af29aadc131c459a91cb7f2d5512f1672023-07-30T11:04:37ZengSpringerOpenJournal of High Energy Physics1029-84792023-04-012023413810.1007/JHEP04(2023)137One-loop Lipatov vertex in QCD with higher ϵ-accuracyVictor S. Fadin0Michael Fucilla1Alessandro Papa2Budker Institute of Nuclear Physics of SB RASDipartimento di Fisica, Università della CalabriaDipartimento di Fisica, Università della CalabriaAbstract The effective Reggeon-Reggeon-gluon vertex, known as Lipatov vertex, is the key ingredient that allows to develop the BFKL approach in QCD. Within the next-to-leading logarithmic approximation, it is sufficient to know its one-loop corrections, in dimensional regularization (D = 4 + 2ϵ), up to the constant term in the ϵ-expansion. In the next-to-next-to-leading approximation, however, the one-loop Lipatov vertex is needed up to the order ϵ 2. In this paper we present the expression for this vertex in dimensional regularization up to the required accuracy.https://doi.org/10.1007/JHEP04(2023)137ResummationHigher-Order Perturbative Calculations |
spellingShingle | Victor S. Fadin Michael Fucilla Alessandro Papa One-loop Lipatov vertex in QCD with higher ϵ-accuracy Journal of High Energy Physics Resummation Higher-Order Perturbative Calculations |
title | One-loop Lipatov vertex in QCD with higher ϵ-accuracy |
title_full | One-loop Lipatov vertex in QCD with higher ϵ-accuracy |
title_fullStr | One-loop Lipatov vertex in QCD with higher ϵ-accuracy |
title_full_unstemmed | One-loop Lipatov vertex in QCD with higher ϵ-accuracy |
title_short | One-loop Lipatov vertex in QCD with higher ϵ-accuracy |
title_sort | one loop lipatov vertex in qcd with higher ϵ accuracy |
topic | Resummation Higher-Order Perturbative Calculations |
url | https://doi.org/10.1007/JHEP04(2023)137 |
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