On the inclusive gluon jet production from the triple pomeron vertex in the perturbative QCD

TL;DR

The paper analyzes single and double inclusive gluon jet production from the perturbative triple pomeron vertex in QCD using reggeized gluons and the AGK framework. It demonstrates that AGK consistency selects the fully symmetric Bartels vertex $V$ (not the diffractive vertex $Z$), and shows that the emitted-vertex contribution reproduces the Kovchegov-Tuchin term within the color-dipole picture, while evolution equations for the 4-gluon amplitude are developed. The single-inclusive result is obtained by combining vertex and pomeron emissions, and the double-inclusive case is shown to respect AGK with careful treatment of diffractive and non-diffractive cuts. Overall, the work bridges reggeized-gluon diagrams and the color-dipole model, providing an evolution framework for gluon-jet production in high-energy nuclear collisions.

Abstract

Single and double inclusive cross-sections for gluon jet production from within the triple pomeron vertex are studied in the reggeized gluon technique. It is shown that to satisfy the AGK rules the vertex has to be fully symmetric in all four reggeized gluons which form the two final pomerons. The single inclusive cross-sections are found for different cuttings of the triple pomeron vertex. They sum into the expression obtained by Yu.Kovchegov and K.Tuchin in the colour dipole picture. The found double inclusive cross-sections satisfy the AGK rules.

Figures (6)

• Figure 1: Triple pomeron contribution to the $3\to 3$ amplitude
• Figure 2: Amplitude which possesses a double cut which is not unitary
• Figure 3: Diffractive ($a$), double ($b$) and single ($c$ and $d$) cuts and their unitarity content
• Figure 4: Pomeron diagrams for the single inclusive cross-section on two centers
• Figure 5: Transitions from 2 to 4 ($a$), 3 to 4 ($b$) and 4 to 4 ($c$) gluons