TY - JOUR

T1 - One-loop Lipatov vertex in QCD with higher ϵ-accuracy

AU - Fadin, Victor S.

AU - Fucilla, Michael

AU - Papa, Alessandro

N1 - We thanks Marco Rossi, Lech Szymanowski and Samuel Wallon for useful discussions. M.F. thanks IJCLab for support while part of this work was done. M.F. and A.P acknowledge support from the INFN/QFT@COLLIDERS project.

PY - 2023/4

Y1 - 2023/4

N2 - 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.

AB - 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.

KW - Higher-Order Perturbative Calculations

KW - Resummation

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85156215911&origin=inward&txGid=3381402c311844feab9762bf56af442f

UR - https://www.mendeley.com/catalogue/5d397618-1a44-3e41-9dd9-4acf8789a27a/

U2 - 10.1007/JHEP04(2023)137

DO - 10.1007/JHEP04(2023)137

M3 - Article

VL - 2023

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1029-8479

IS - 4

M1 - 137

ER -