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

TL;DR
This paper presents a pedagogical tutorial on creating a fast Monte Carlo generator for the process e+e- to mu+mu- gamma, illustrating the methods with detailed explanations suitable for students.
Contribution
It provides a step-by-step guide to developing a Monte Carlo generator from scratch, including matrix element calculation and algorithm implementation, tailored for educational purposes.
Findings
Efficient Monte Carlo algorithm using acceptance-rejection method.
Detailed pedagogical exposition of helicity amplitude and Monte Carlo techniques.
Practical example for high energy physics education.
Abstract
A fast leading-order Monte Carlo generator for the process is described. In fact, using the process as an example, we provide a pedagogical demonstration of how a Monte Carlo generator can be created from scratch. The 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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