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 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.

Comments: 38 pages, 1 figure. Version published on JHEP