Markovian Monte Carlo solutions of the NLO QCD evolution equations

Details Markovian Monte Carlo solutions of the NLO QCD evolution equations Markovian Monte Carlo solutions of the NLO QCD evolution equations

2006-03-03

arxiv.org/abs/hep-ph/0603031v1

ActaPhys.Polon.B37:1785-1832,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

42 pages, 4 eps figures

Scientific paper

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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