ON-SHELL2: FORM based package for the calculation of two-loop self-energy single scale Feynman diagrams occurring in the Standard Model

J. Fleischer; M. Yu. Kalmykov

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ON-SHELL2: FORM based package for the calculation of two-loop self-energy single scale Feynman diagrams occurring in the Standard Model

机译：ON-SHELL2：基于FORM的软件包，用于计算标准模型中出现的两回路自能量单尺度费曼图

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A FORM based package (ON-SHELL2) for the calculation of two loop self-energy diagrams with one nonzero mass in internal lines and the external momentum on the same mass shell is elaborated. The algorithm, based on recurrence relations obtained from the integration-by-parts method, allows us to reduce diagrams with arbitrary indices (powers of scaler propagators) to a set of master integrals. The SHELL2 package is used for the calculation of special types of diagrams. Analytical results for master integrals are collected.

机译：阐述了一个基于FORM的程序包（ON-SHELL2），该程序用于计算两个回路自能图，其中内部线中的质量为非零，而同一质量壳上的外部动量为。该算法基于从逐部分积分法获得的递归关系，使我们能够将具有任意索引（定标传播器的幂）的图简化为一组主积分。 SHELL2软件包用于计算特殊类型的图表。收集主积分的分析结果。

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《Computer physics communications》 |2000年第3期|共19页
作者
J. Fleischer; M. Yu. Kalmykov;
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原文格式 PDF
正文语种 eng
中图分类计算机的应用;
关键词
Standard Model; Feynman diagram; recurrence relations; pole mass;

机译：标准模型;费曼图;递推关系;极点质量;

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1. ON-SHELL2: FORM based package for the calculation of two-loop self-energy single scale Feynman diagrams occurring in the Standard Model [J] . J. Fleischer, M. Yu. Kalmykov Computer physics communications . 2000,第3期

机译：ON-SHELL2：基于FORM的软件包，用于计算标准模型中出现的两回路自能量单尺度费曼图
2. ANALYTICAL CALCULATION OF TWO-LOOP FEYNMAN DIAGRAMS [J] . R. BONCIANI Acta Physica Polonica. B, Particle Physics and Field Theory, Nuclear Physics, Theory of Relativity . 2004,第11期

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ON-SHELL2: FORM based package for the calculation of two-loop self-energy single scale Feynman diagrams occurring in the Standard Model

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