Estimation of saturation and coherence effects in the KGBJS equation - a non-linear CCFM equation

TL;DR

This paper numerically solves a modified non-linear extension of the CCFM equation, called KGBJS, compares it with other gluon evolution equations, and improves its low-momentum behavior.

Contribution

It introduces a numerical solution for the KGBJS equation and enhances its low transverse momentum behavior with a small modification.

Findings

KGBJS gluon Green functions compared with CCFM, BFKL, and BK results

Improved low transverse momentum behavior of KGBJS

Demonstrated differences and similarities among various gluon evolution equations

Abstract

We solve the modified non-linear extension of the CCFM equation - KGBJS equation - numerically for certain initial conditions and compare the resulting gluon Green functions with those obtained from solving the original CCFM equation and the BFKL and BK equations for the same initial conditions. We improve the low transversal momentum behaviour of the KGBJS equation by a small modification.