Inclusive Gluon Production in the QCD Reggeon Field Theory: Pomeron Loops Included

TL;DR

This paper advances the understanding of high-energy hadronic scattering by deriving gluon production amplitudes that incorporate nonlinear effects and gluon correlations, aligning with the QCD Reggeon Field Theory framework.

Contribution

It provides new expressions for inclusive gluon production amplitudes including correlations, and demonstrates their consistency with the QCD Reggeon Field Theory Hamiltonian.

Findings

Gluon emissions are correlated in rapidity space with a correlation length of order one.

Derived amplitudes exhibit a semiclassical structure at leading order.

Evolution of observables is governed by the Hamiltonian of the QCD Reggeon Field Theory.

Abstract

We continue the study of hadronic scattering amplitudes at high energy by systematically including nonlinear effects of finite partonic density in hadronic wave function as well as the effects of multiple rescatterings in the scattering process. In this paper we derive expressions for a single inclusive gluon production amplitude and multigluon inclusive production amplitudes when the rapidities of all observed gluons are not very different. We show that at leading order these observables exhibit a semiclassical structure. Beyond the semiclassical result, we find that the gluon emission has some characteristic features different from the JIMWLK and KLWMIJ limits in that the gluons are not emitted independently in rapidity space, but have a correlated component with correlation length (in rapidity space) of order one. We demonstrate the consistency between this feature of the multigluon observables and the Hamiltonian of the QCD Reggeon Field Theory ($H_{RFT}$) derived in the companion paper \cite{rft}. We also show that the evolution of these observables with total rapidity of the process is generated by $H_{RFT}$ of \cite{rft}. We discuss whether this evolution is equivalent to evolution with $H_{JIMWLK}$ as far as this set of observables is concerned.