FeynCalc 10: Do multiloop integrals dream of computer codes?

In this work we report on a new version of FeynCalc, a Mathematica package widely used in the particle physics community for manipulating quantum field theoretical expressions and calculating Feynman diagrams. Highlights of the new version include greatly improved capabilities for doing multiloop calculations, including topology identification and minimization, optimized tensor reduction, rewriting of scalar products in terms of inverse denominators, detection of equivalent or scaleless loop integrals, derivation of Symanzik polynomials, Feynman parametric as well as graph representation for master integrals and initial support for handling differential equations and iterated integrals. In addition to that, the new release also features completely rewritten routines for color algebra simplifications, inclusion of symmetry relations between arguments of Passarino–Veltman functions, tools for determining matching coefficients and quantifying the agreement between numerical results, improved export to Latex and first steps towards a better support of calculations involving light-cone vectors.本工作报道了FeynCalc的新版本，FeynCalc是一款在粒子物理领域广泛使用的Mathematica软件包，用于处理量子场论表达式与计算费曼图（Feynman diagrams）。该新版本的核心亮点包括：大幅提升的多圈计算能力，具体涵盖拓扑识别与约简、优化后的张量约简、基于逆分母形式重写标量积、等价或无标度圈积分的检测、西蒙齐克多项式（Symanzik polynomials）的推导、母积分（master integrals）的费曼参数化及图形表示，以及对微分方程与迭代积分处理的初步支持。除此之外，此次更新还具备以下新增特性：完全重写的色代数化简程序、对帕萨里诺-韦尔特曼函数（Passarino–Veltman functions）参数间对称性关系的支持、用于确定匹配系数与量化数值结果间一致性的工具、优化的LaTeX导出功能，以及为更好支持含光锥矢量（light-cone vectors）计算所开展的初步探索工作。