FIRE4、LiteRed和配套工具，用于解决零件关系集成问题
FIRE4, LiteRed and accompanying tools to solve integration by parts relations
摘要：
介绍了Mathematica程序FIRE的新特性。特别是，它可以与最近开发的代码LiteRed李一起应用，以提供一个集成的部分减少到主积分相当复杂的费曼积分族。作为一个例子，我们考虑四圈无质量传播积分，LiteRed提供了减少规则和消防协助应用这些规则。因此，作为一个副产品，人们得到了著名的三循环计算机代码MINCER的四循环变体。我们还描述了各种方法来找到几个家庭的费曼积分主积分之间的关系。
英文摘要：
New features of the Mathematica code FIRE are presented. In particular, it can be applied together with the recently developed code LiteRed by Lee in order to provide an integration by parts reduction to master integrals for quite complicated families of Feynman integrals. As as an example, we consider four-loop massless propagator integrals for which LiteRed provides reduction rules and FIRE assists to apply these rules. So, as a by-product one obtains a four-loop variant of the well-known three-loop computer code MINCER. We also describe various ways to find additional relations between master integrals for several families of Feynman integrals.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
