Calculation of massless Feynman integrals using harmonic sums

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Calculation of massless Feynman integrals using harmonic sums

机译：使用谐波和计算无质量Feynman积分

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A method for the evaluation of the epsilon-expansion of multi-loop massless Feynman integrals is introduced. This method is based on the Gegenbauer polynomial technique and the expansion of the Gamma function in terms of harmonic sums. Algorithms for the evaluation of nested and harmonic sums are used to reduce the expressions to get analytical or numerical results for the expansion coefficients. Methods to increase the precision of numerical results are discussed. (C) 2006 Elsevier B.V. All rights reserved.

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《Computer physics communications》 |2006年第3期|共16页
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Bekavac S;
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正文语种 eng
中图分类计算机的应用;
关键词
multi-loop Feynman integrals; Gegenbauer polynomial technique; harmonic sums; nested sums; convergence acceleration; INTEGER RELATION DETECTION; MULTILOOP INTEGRALS; UNIQUENESS METHOD; 2-LOOP DIAGRAM; EXPANSION; ALGORITHM; SYMMETRY;

机译：多环Feynman积分;Gegenbauer多项式技术;调和和;嵌套和;收敛性加速;整数关系检测;多环积分;唯一性方法;2-环图;展开;算法;对称;

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专利

1. Calculation of massless Feynman integrals using harmonic sums [J] . Bekavac S Computer physics communications . 2006,第3期

机译：使用谐波和计算无质量Feynman积分
2. Relations Between Harmonic Sums in Massless QCD Calculations [J] . J. Bluemlein Few-Body Systems . 2005,第1a4期

机译：无质量QCD计算中的谐波和之间的关系
3. Relations Between Harmonic Sums in Massless QCD Calculations [J] . J. Blümlein Few-Body Systems . 2005,第1a4期

机译：无质量QCD计算中的谐波和之间的关系
4. Efficient GPU Integration for Multi-loop Feynman Diagrams with Massless Internal Lines [C] . E. de Doncker, A. Almulihi, F. Yuasa International Conference on Computational and Experimental Engineering and Sciences . 2020

机译：高效的GPU集成，用于多循环的Feynman图与无大量内部线路
5. Problems in harmonic analysis connected to oscillatory sums and integrals. [D] . Magyar, Akos. 1996

机译：谐波分析中与振荡和和积分有关的问题。
6. Direct visualization of phase-matched efficient second harmonic and broadband sum frequency generation in hybrid plasmonic nanostructures [O] . Zhe Li, Brian Corbett, Agnieszka Gocalinska, 2020

机译：混合等离子体纳米结构中相位匹配有效的第二谐波和宽带和频率产生的直接可视化
7. Calculation of Massless Feynman Integrals using Harmonic Sums [O] . Bekavac, Stefan 2006

机译：用谐波和计算无质量Feynman积分

Calculation of massless Feynman integrals using harmonic sums

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