Parton shower generator based on the Gribov-Levin-Ryskin equation

We develop a novel Monte Carlo parton branching algorithm based on the Gribov-Levin-Ryskin (GLR) equation. The formulations of both forward evolution and backward evolution for the GLR equation are presented. The results from the Monte Carlo implementation of the GLR equation are in full agreement with its numerical solutions. Our work thus paves the way for developing an event generator that embodies the saturation effect.

Automated summary

We have developed a novel Monte Carlo parton branching algorithm based on the Gribov-Levin-Ryskin (GLR) equation and presented the formulations for both forward and backward evolution of the GLR equation. The results from the Monte Carlo implementation of the GLR equation agree with its numerical solutions. Our work thus provides a foundation for developing an event generator that incorporates the saturation effect.