Solving QCD evolution equations in rapidity space with Markovian Monte Carlo

Abstract

This work covers methodology of solving QCD evolution equation of the parton distribution using Markovian Monte Carlo (MMC) algorithms in a class of models ranging from DGLAP to CCFM. One of the purposes of the above MMCs is to test the other more sophisticated Monte Carlo programs, the so-called Constrained Monte Carlo (CMC) programs, which will be used as a building block in the parton shower MC. This is why the mapping of the evolution variables (eikonal variable and evolution time) into four-momenta is also defined and tested. The evolution time is identified with the rapidity variable of the emitted parton. The presented MMCs are tested independently, with ~0.1% precision, against the non-MC program APCheb especially devised for this purpose.

version compatible with with the erratum in Acta Physica Polonica

References in corpus (1)

• Constrained MC for QCD evolution with rapidity ordering and minimum kT

Cited by in corpus (5)

• Matching NLO QCD with parton shower in Monte Carlo scheme - the KrkNLO method
• Constructing new pseudoscalar meson nonets with the observed $X(2100)$, $X(2500)$, and $\eta (2225)$
• Markovian Monte Carlo program EvolFMC v.2 for solving QCD evolution equations
• Constrained MC for QCD evolution with rapidity ordering and minimum kT
• Markovian MC simulation of QCD evolution at NLO level with minimum k_T