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arXiv · 1810.11509

Neural Network-Based Approach to Phase Space Integration

Matthew D. Klimek·Maxim Perelstein
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Abstract

Monte Carlo methods are widely used in particle physics to integrate and sample probability distributions (differential cross sections or decay rates) on multi-dimensional phase spaces. We present a Neural Network (NN) algorithm optimized to perform this task. The algorithm has been applied to several examples of direct relevance for particle physics, including situations with non-trivial features such as sharp resonances and soft/collinear enhancements. Excellent performance has been demonstrated in all examples, with the properly trained NN achieving unweighting efficiencies of between 30% and 75%. In contrast to traditional Monte Carlo algorithms such as VEGAS, the NN-based approach does not require that the phase space coordinates be aligned with resonant or other features in the cross section.

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Matthew D. Klimek, Maxim Perelstein. 2020-08-16. Neural Network-Based Approach to Phase Space Integration. https://doi.org/10.21468/scipostphys.9.4.053

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