The Behaviour of the Green Function for the BFKL Pomeron with Running Coupling

TL;DR

This paper investigates the properties of the Green function solution for the BFKL equation with running coupling, demonstrating orthonormality, completeness, and the pole structure of the unintegrated gluon density, with potential for data-driven parameter determination.

Contribution

It provides a detailed analysis of the Green function's physical properties and its pole structure in the context of the BFKL equation with running coupling, including implications for experimental data fitting.

Findings

Green function obeys orthonormality in the physical region

Green function fulfills completeness conditions

Unintegrated gluon density has a few poles with parameters determinable from DIS data

Abstract

We analyse here in LO the physical properties of the Green function solution for the BFKL equation. We show that the solution obeys the orthonormality conditions in the physical region and fulfills the completeness requirements. The unintegrated gluon density is shown to consists of a set of few poles with parameters which could be determined by comparison with the DIS data of high precision.