Pomeron loops in the perturbative QCD with Large N_c

TL;DR

This paper calculates the lowest order pomeron loop in perturbative QCD with large N_c, showing its convergence and significant contribution at high rapidities, with minimal pole renormalization.

Contribution

It provides a detailed calculation of the pomeron loop including full dependence on conformal weights, advancing understanding of high-energy QCD dynamics.

Findings

Pomeron loop is convergent.

Loop contribution dominates at rapidities 10-15.

Pomeron pole renormalization is small.

Abstract

The lowest order pomeron loop is calculated for the leading conformal weight with full dependence of the triple pomeron vertex on intermediate conformal weights. The loop is found to be convergent. Its contribution to the pomeron Green function begins to dominate already at rapidities 10$\div$15. The pomeron pole renormalization is found to be quite small due to a rapid fall of the triple pomeron vertex with rising conformal weights.