Pomeron fan diagrams in perturbative QCD

TL;DR

This paper investigates the formation of pomeron fan diagrams in perturbative QCD, confirming the BK-equation and revealing additional terms related to gluon reggeization, with implications for understanding high-energy scattering processes.

Contribution

It demonstrates that pomeron fan diagrams with the same triple pomeron vertex emerge in the large-N_c limit, confirming the BK-equation and identifying new terms from gluon reggeization.

Findings

Pomeron fan diagrams are confirmed in the large-N_c limit.

Additional terms related to gluon reggeization are identified.

The analysis includes the pomeron to two odderon vertex.

Abstract

Within QCD reggeon field theory we study the formation of two subsequent triple pomeron vertices in the process P$\to$PP$\to$PPP. We make use of an earlier investigation ~\cite{Bartels:1999aw} of the six-reggeon amplitude in deep inelastic scattering and show that in the large-$N_c$ limit pomeron fan diagrams emerge with the same triple pomeron vertex in all places. We thus confirm the BK-equation, but we also find additional terms related to the reggeization of the gluon, and we discuss their potential significance. Our analysis also includes the general pomeron $\to$ two odderon vertex: a particular version of this vertex has been included into earlier generalizations the BK equation.