On reggeization of vertex of three reggeized gluons in high energy QCD

Abstract

The unitarity corrections to the propagator of reggeized gluons calculated in the framework of QCD RFT require a knowledge of the expressions for Reggeon propagator and vertices of interaction of three reggeized gluons (Reggeons) to one QCD loop precision, see \cite{Our6}. In this paper we calculate the vertex of interactions of $A_{+}{A}_{+}{A}_{-}$ Reggeon fields, i.e. vertex of transition of $A_{-}$ Reggeon field to $A_{+}{A}_{+}$ fields, to this precision. We demonstrate, that all loop leading logarithmic order contributions to the vertex can be summed through the integro-differential equation similarly to the BFKL one, \cite{BFKL}. The solution of this equation leads to the reggeized from of the vertex with the trajectory twice larger then the trajectory of reggeized gluon propagator. The application of the obtained result is also discussed.

Comments: 24 pages. arXiv admin note: substantial text overlap with arXiv:1903.11288