论文标题

Mumug:一种用于辐射MUON对生产的快速蒙特卡洛发电机(教学教程)

MUMUG: a fast Monte Carlo generator for radiative muon pair production (a pedagogical tutorial)

论文作者

Silagadze, Z. K.

论文摘要

描述了用于该过程的快速前阶蒙特卡洛发生器$ e^+e^ - \toμ^+μ^-γ$。实际上,以$ e^+e^ - \toμ^+μ^-γ$过程为例,我们提供了一个教学证明,以说明如何从头开始创建蒙特卡洛发生器。选择了$ e^+ e^ - \至μ^+μ^ - γ$过程,因为在这种情况下,我们不会面临太琐碎或太困难的任务。使用螺旋幅度法计算矩阵元素。 Monte Carlo算法使用具有适当选择的简化分布的接受性拒绝方法,可以使用有效的算法生成。我们提供了螺旋幅度法和蒙特卡洛技术的详细教学博览会,我们希望这对高能量物理学生有用。

A fast leading-order Monte Carlo generator for the process $e^+e^-\toμ^+μ^-γ$ is described. In fact, using the $e^+e^-\toμ^+μ^-γ$ process as an example, we provide a pedagogical demonstration of how a Monte Carlo generator can be created from scratch. The $e^+ e^- \to μ^+ μ^- γ$ process was chosen, since in this case we are not faced with either too trivial or too difficult a task. Matrix elements are calculated using the helicity amplitude method. Monte Carlo algorithm uses the acceptance-rejection method with an appropriately chosen simplified distribution that can be generated using an efficient algorithm. We provide a detailed pedagogical exposition of both the helicity amplitude method and the Monte Carlo technique, which we hope will be useful for high energy physics students.

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