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

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.

38 pages, 9 Postscript figures

References in corpus (6)

• A Brief Introduction to PYTHIA 8.1
• Parton showers with quantum interference
• Fully Unintegrated Parton Correlation Functions and Factorization in Lowest Order Hard Scattering
• GR@PPA 2.7 event generator for $pp$/$p\bar{p}$ collisions
• Solving QCD evolution equations in rapidity space with Markovian Monte Carlo
• Markovian MC simulation of QCD evolution at NLO level with minimum k_T

Cited by in corpus (7)

• Collinear and TMD Quark and Gluon Densities from Parton Branching Solution of QCD Evolution Equations
• NLO corrections to hard process in QCD shower -- proof of concept
• MCdevelop - the universal framework for Stochastic Simulations
• Markovian Monte Carlo solutions of the one-loop CCFM equations
• Markovian MC simulation of QCD evolution at NLO level with minimum k_T
• Summary of the HERA-LHC workshop
• NLO parton shower for LHC physics - hard processes and beyond