The BFKL Pomeron calculus: summing enhanced diagrams

TL;DR

This paper develops a method to sum enhanced diagrams in BFKL Pomeron calculus, deriving a new Green function that predicts decreasing scattering amplitudes and cross sections at high energies.

Contribution

It introduces a novel summation technique for enhanced diagrams, resulting in a Pomeron Green function that alters high-energy scattering predictions.

Findings

The summed diagrams lead to a decreasing Pomeron contribution with energy.

The total cross section of small dipoles decreases at high energies.

The new Green function modifies the understanding of high-energy scattering behavior.

Abstract

The goal of this paper is to sum over a class of enhanced diagrams, and derive a new Pomeron Green function. It is found that this sum gives the Pomeron contribution to the scattering amplitude that decreases with energy. In other words, we found that the total cross section of two colourless dipoles of small but equal sizes, falls down at high energies.