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...

Full description

Bibliographic Details
Main Authors: Victor S. Fadin, Michael Fucilla, Alessandro Papa
Format: Article
Language:English
Published: SpringerOpen 2023-04-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP04(2023)137
_version_ 1827890614738354176
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.
first_indexed 2024-03-12T21:12:14Z
format Article
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
record_format Article
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
work_keys_str_mv AT victorsfadin onelooplipatovvertexinqcdwithhighereaccuracy
AT michaelfucilla onelooplipatovvertexinqcdwithhighereaccuracy
AT alessandropapa onelooplipatovvertexinqcdwithhighereaccuracy