  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.
