论文标题

如何选择主积分

How to choose master integrals

论文作者

Smirnov, A. V., Smirnov, V. A.

论文摘要

评估给定的Feynman积分家族的积分时的标准过程(与某些Feynman图相对应)是构造一种算法,该算法提供了将任何特定积分编写为所谓主体积分的线性组合的可能性。为此,使用了公共(空气,火,雷神,文书,kira)和基于零件关系综合的私人代码。但是,这些代码提供的主积分的选择并不总是最佳的。我们提出了一种算法,以改善主积分的给定基础及其计算机实现;另请参见竞争性变体[1]。

The standard procedure when evaluating integrals of a given family of Feynman integrals, corresponding to some Feynman graph, is to construct an algorithm which provides the possibility to write any particular integral as a linear combination of so-called master integrals. To do this, public (AIR, FIRE, REDUZE, LiteRed, KIRA) and private codes based on solving integration by parts relations are used. However, the choice of the master integrals provided by these codes is not always optimal. We present an algorithm to improve a given basis of the master integrals, as well as its computer implementation; see also a competitive variant [1].

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源