Dipole-dipole scattering in CGC/saturation approach at high energy: summing Pomeron loops

TL;DR

This paper demonstrates that dense gluon systems can form in dilute-dilute dipole collisions at high energy through gluon cascades described by Pomeron loops, providing analytical solutions and calculating various cross sections.

Contribution

It introduces the first analytical solution for diffraction production in dipole-dense scattering and develops a technique to compute total and differential cross sections using the BFKL Pomeron framework.

Findings

Dense gluon systems can be produced in dilute-dilute collisions at high energy.

Analytical solutions for diffraction production were obtained.

Calculated cross sections and gluon correlations support dense gluon formation.

Abstract

In this paper we demonstrate that the dense system of partons (gluons) can be produced in dilute-dilute system scattering, using the example of dipole-dipole collisions. This increase in density stems from the intensive gluon cascades that can be described by the enhanced BFKL Pomeron diagrams (Pomeron loops). For the first time we found the analytical solution to the equation for diffraction production in the dipole-dense parton system scattering, using the simplified BFKL kernel. Having this solution as well as the solution to Balitsky- Kovchegov equation we developed technique that allowed us to calculate the total cross section, cross sections for single and double diffractions in the MPSI approximation. Calculating inclusive production and two gluon correlations we see that the dense and strongly correlated system of gluons can be produced at high energy in the dipole-dipole scattering.