One-loop Lipatov vertex in QCD with higher $\epsilon$-accuracy

Autor: Fadin, Victor S., Fucilla, Michael, Papa, Alessandro
Rok vydání: 2023
Předmět:
Zdroj: JHEP 04 (2023) 137
Druh dokumentu: Working Paper
DOI: 10.1007/JHEP04(2023)137
Popis: 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 ($D=4+2\epsilon$), up to the constant term in the $\epsilon$-expansion. In the next-to-next-to-leading approximation, however, the one-loop Lipatov vertex is needed up to the order $\epsilon^2$. In this paper we present the expression for this vertex in dimensional regularization up to the required accuracy.
Comment: 38 pages, 1 figure. Version published on JHEP
Databáze: arXiv