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Machine learning Post-Minkowskian integrals

delete2023-07-24
delete3
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OA
AI
R
Ryusuke Jinno *
G
Gregor Kälin
Z
Zhengwen Liu
H
Henrique Rubira
DOI:10.1007/JHEP07(2023)181delete
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摘要

摘要

En 中文
We study a neural network framework for the numerical evaluation of Feynman loop integrals that are fundamental building blocks for perturbative computations of physical observables in gauge and gravity theories. We show that such a machine learning approach improves the convergence of the Monte Carlo algorithm for high-precision evaluation of multi-dimensional integrals compared to traditional algorithms. In particular, we use a neural network to improve the importance sampling. For a set of representative integrals appearing in the computation of the conservative dynamics for a compact binary system in General Relativity, we perform a quantitative comparison between the Monte Carlo integrators VEGAS and i-flow, an integrator based on neural network sampling.
Keyword:
Scattering Amplitudes
Classical Theories of Gravity
Effective Field Theories

期刊

Journal of High Energy Physics 封面图
Journal of High Energy Physics
IF:
5.5
论文数:
3.9W
被引数:
13.7W

机构

C
consejo superior de investigaciones cientificas (csic)
学者数:
8.8W
论文数: 8.5W
被引数: 125
C
csic - uam - institut de fisica teorica (ift)
学者数:
1.4K
论文数: 1.1K
被引数: 6
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