FeynCalc 10: Do multiloop integrals dream of computer codes?

IF 7.2 2区物理与天体物理 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Computer Physics Communications Pub Date : 2024-08-29 DOI:10.1016/j.cpc.2024.109357

Vladyslav Shtabovenko , Rolf Mertig , Frederik Orellana

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Abstract

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

and first steps towards a better support of calculations involving light-cone vectors.

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FeynCalc 10：多环积分是否梦想着计算机代码？

在这项工作中，我们报告了 FeynCalc 的新版本。FeynCalc 是粒子物理学界广泛使用的 Mathematica 软件包，用于处理量子场论表达式和计算费曼图。新版本的亮点包括大大改进了多回路计算的功能，包括拓扑识别和最小化、优化的张量还原、用逆分母重写标量乘积、等价或无标量回路积分的检测、Symanzik 多项式的推导、费曼参数以及主积分的图表示，以及处理微分方程和迭代积分的初始支持。除此之外，新版本还具有完全重写的色彩代数简化例程、包含 Passarino-Veltman 函数参数之间的对称关系、用于确定匹配系数和量化数值结果一致性的工具、改进的导出功能，以及为更好地支持涉及光锥矢量的计算而迈出的第一步。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Computer Physics Communications 物理-计算机：跨学科应用

CiteScore

12.10

自引率

3.20%

发文量

287

审稿时长

5.3 months

期刊介绍： The focus of CPC is on contemporary computational methods and techniques and their implementation, the effectiveness of which will normally be evidenced by the author(s) within the context of a substantive problem in physics. Within this setting CPC publishes two types of paper. Computer Programs in Physics (CPiP) These papers describe significant computer programs to be archived in the CPC Program Library which is held in the Mendeley Data repository. The submitted software must be covered by an approved open source licence. Papers and associated computer programs that address a problem of contemporary interest in physics that cannot be solved by current software are particularly encouraged. Computational Physics Papers (CP) These are research papers in, but are not limited to, the following themes across computational physics and related disciplines. mathematical and numerical methods and algorithms; computational models including those associated with the design, control and analysis of experiments; and algebraic computation. Each will normally include software implementation and performance details. The software implementation should, ideally, be available via GitHub, Zenodo or an institutional repository.In addition, research papers on the impact of advanced computer architecture and special purpose computers on computing in the physical sciences and software topics related to, and of importance in, the physical sciences may be considered.