Markovian Monte Carlo solutions of the NLO QCD evolution equations

被引：0
|
作者：
Golec-Biernat, K. [1 ,2 ]
Jadach, S. [1 ]
PLaczek, W. [3 ]
Skrzypek, M. [1 ]
机构：
[1] H. Niewodniczański Institute of Nuclear Physics, Polish Academy of Sciences, Radzikowskiego 152, 31-342 Cracow, Poland
[2] Institute of Physics, University of Rzeszów, Rejtana 16A, 35-959 Rzeszów, Poland
[3] M. Smoluchowski Institute of Physics, Jagellonian University, Reymonta 4, 30-059 Cracow, Poland
来源：
Acta Physica Polonica, Series B | 2006年 / 37卷 / 06期
关键词：
Algorithms - Markov processes - Monte Carlo methods - Numerical methods - Problem solving;
D O I：
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中图分类号：
学科分类号：
摘要：
We present precision Monte Carlo calculations solving the QCD evolution equations up to the next-to-leading-order (NLO) level. They employ forward Markovian Monte Carlo (FMC) algorithms, which provide the rigorous solutions of the QCD evolution equations. Appropriate Monte Carlo algorithms are described in detail. They are implemented in the form of the Monte Carlo program EvolFMC, which features the NLO kernels for the QCD evolution. The presented numerical results agree with those from independent, non-MC, programs (QCDNum16, APCheb33) at the level of 0.1%. In this way we have demonstrated the feasibility of the precision MC calculations for the QCD evolution and provided very useful numerical tests (benchmarks) for other, non-Markovian, MC algorithms developed recently.
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页码：1785 / 1832
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