使用有限域和数据流图分析多循环结果

T. Peraro
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引用次数: 3

摘要

finitflow是一个公共框架,用于定义和执行有限域上的数值算法和重构多元有理函数。该框架允许通过将基本构建块组合成计算的图形表示(称为数据流图)来构建复杂的算法。它提供了一个易于使用的Mathematica接口,用于实现高效的自定义算法,而无需任何低级编码。我们报告了finitflow最初发布后发布的一些新功能,给出了一些常见任务的简单使用示例,并回顾了最近在双环五点散射和四环尖点异常维度方面的前沿应用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Analytic multi-loop results using finite fields and dataflow graphs with FiniteFlow
FiniteFlow is a public framework for defining and executing numerical algorithms over finite fields and reconstructing multivariate rational functions. The framework allows to build complex algorithms by combining basic building blocks into graphical representations of the calculation, known as dataflow graphs. It offers an easy-to-use Mathematica interface for implementing efficient custom algorithms without any low-level coding. We report on some new features of FiniteFlow which have been published after its initial release, give some simple example of usage for common tasks and review recent cutting-edge applications to two-loop five-point scattering and the four-loop cusp anomalous dimension.
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