多回路Feynman积分的函数理论

IF 9.1 2区物理与天体物理 Q1 PHYSICS, NUCLEAR

Annual Review of Nuclear and Particle Science Pub Date : 2019-10-19 DOI:10.1146/ANNUREV-NUCL-101918-023551

C. Duhr

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引用次数: 6

摘要

对撞机可观测性的精确预测需要微扰理论中更高阶的计算。这项任务通常涉及复杂的多环积分的评估，这些积分通常会产生复杂的特殊函数。本文讨论了在理解多重循环Feynman积分数学基础上的最新进展，并讨论了一类推广对数的函数，它经常出现在多重循环计算中。同一类函数是现代数学中一个活跃的研究领域，这导致了计算费曼积分的新的强大工具的发展。这些工具是强子对撞机有史以来最复杂计算的核心。

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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Function Theory for Multiloop Feynman Integrals

Precise predictions for collider observables require the computation of higher orders in perturbation theory. This task usually involves the evaluation of complicated multiloop integrals, which typically give rise to complicated special functions. This article discusses recent progress in understanding the mathematics underlying multiloop Feynman integrals and discusses a class of functions that generalizes the logarithm and that often appears in multiloop computations. The same class of functions is an active area of research in modern mathematics, which has led to the development of new powerful tools to compute Feynman integrals. These tools are at the heart of some of the most complicated computations ever performed for a hadron collider.

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来源期刊

Annual Review of Nuclear and Particle Science 物理-物理：核物理

CiteScore

21.50

自引率

0.80%

发文量

期刊介绍： The Annual Review of Nuclear and Particle Science is a publication that has been available since 1952. It focuses on various aspects of nuclear and particle science, including both theoretical and experimental developments. The journal covers topics such as nuclear structure, heavy ion interactions, oscillations observed in solar and atmospheric neutrinos, the physics of heavy quarks, the impact of particle and nuclear physics on astroparticle physics, and recent advancements in accelerator design and instrumentation. One significant recent change in the journal is the conversion of its current volume from gated to open access. This conversion was made possible through Annual Reviews' Subscribe to Open program. As a result, all articles published in the current volume are now freely available to the public under a CC BY license. This change allows for greater accessibility and dissemination of research in the field of nuclear and particle science.