Markovian Monte Carlo program EvolFMC v.2 for solving QCD evolution equations

TL;DR

EvolFMC v.2 is a Monte Carlo program that accurately solves QCD evolution equations for parton distributions, demonstrating precision comparable to traditional numerical methods in both LO and NLO approximations.

Contribution

This paper introduces EvolFMC v.2, a Monte Carlo-based tool capable of solving QCD evolution equations with high precision, including modified-DGLAP and standard DGLAP types.

Findings

Achieved 0.05% technical precision in solving evolution equations.

Demonstrated Monte Carlo method's capability to match traditional numerical methods' accuracy.

Supported both LO and NLO approximations for massless quarks.

Abstract

We present the program EvolFMC v.2 that solves the evolution equations in QCD for the parton momentum distributions by means of the Monte Carlo technique based on the Markovian process. The program solves the DGLAP-type evolution as well as modified-DGLAP ones. In both cases the evolution can be performed in the LO or NLO approximation. The quarks are treated as massless. The overall technical precision of the code has been established at 0.05% precision level. This way, for the first time ever, we demonstrate that with the Monte Carlo method one can solve the evolution equations with precision comparable to the other numerical methods.