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].

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如何选择主积分

评估给定Feynman积分族（对应于某些Feynman图）的积分时的标准过程是构造一种算法，该算法提供将任何特定积分写为所谓的主积分的线性组合的可能性。为此，使用基于零件关系求解集成的公共代码（AIR，FIRE，REDUZE，LiteRed，KIRA）和私有代码。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；另请参阅竞争性变体[1]。