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arXiv · hep-ph/0312355

Exact solutions of the QCD evolution equations using Monte Carlo method

S. Jadach·M. Skrzypek
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Abstract

We present the exact and precise (~0.1%) numerical solution of the QCD evolution equations for the parton distributions in a wide range of $Q$ and $x$ using Monte Carlo (MC) method, which relies on the so-called Markovian algorithm. We point out certain advantages of such a method with respect to the existing non-MC methods. We also formulate a challenge of constructing non-Markovian MC algorithm for the evolution equations for the initial state QCD radiation with tagging the type and $x$ of the exiting parton. This seems to be within the reach of the presently available computer CPUs and the sophistication of the MC techniques.

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S. Jadach, M. Skrzypek. 2004-01-15. Exact solutions of the QCD evolution equations using Monte Carlo method. https://arxiv.org/abs/hep-ph/0312355

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