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arXiv 0708.1906hep-ph
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用马尔可夫蒙特卡罗方法求解快度空间中的QCD演化方程

Solving QCD evolution equations in rapidity space with Markovian Monte Carlo

K. Golec-Biernat, S. Jadach, W. Placzek, M. Skrzypek

摘要:

本文介绍了用马尔可夫蒙特卡罗(MMC)算法求解部分子分布的QCD演化方程的方法,并给出了一系列的模型。上述MMC的目的之一是测试其他更复杂的Monte Carlo程序,即所谓的约束Monte Carlo(CMC)程序,它将被用作部分子簇射MC的构建块。这就是为什么演化变量(程函变量和演化时间)到四动量的映射也被定义和测试。演化时间与发射部分子的快度变量一致。所提出的MMC进行了独立测试,精度约为0.1%,对非MC程序APCheb专门为此目的而设计。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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