five

A new method for computing one-loop integrals

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doi.org2025-03-25 收录
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http://doi.org/10.17632/s5dgpw5wrh.1
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Abstract We present a new program package for calculating one-loop Feynman integrals, based on a new method avoiding Feynman parametrization and the contraction due to Passarino and Veltman. The package is calculating one-, two- and three-point functions both algebraically and numerically to all tensor cases. This program is written as a package for Maple. An additional Mathematica version is planned later. Title of program: ONELOOP.MA Catalogue Id: ACVW_v1_0 Nature of problem The theoretical determination of cross sections in particle processes requires the calculation of radiative corrections. The most important contribution comes from the level of one-loop Feynman diagrams which arise from the model under consideration, usually the standard model of elementary particles. Versions of this program held in the CPC repository in Mendeley Data ACVW_v1_0; ONELOOP.MA; 10.1016/0010-4655(94)00112-F ACVW_v2_0; oneloop.ma, version 2.0; 10.1016/S0010-4655(97)00098-2 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)

本报告介绍了一种新型的计算一阶费曼积分的程序包,该程序包基于一种新的方法,该方法避开了费曼参数化以及帕萨里诺-维尔特曼收缩。该程序包能够对一、二、三点函数进行代数和数值计算,涵盖所有张量情况。该程序以 Maple 的程序包形式编写,未来计划开发 Mathematica 版本。程序名称:ONELOOP.MA,目录编号:ACVW_v1_0。 问题性质 粒子过程中截面理论的确立需要计算辐射修正。其中最重要的贡献来自于由所考虑的模型(通常为标准模型)产生的一阶费曼图。 CPC 存储库中 Mendeley 数据版本 ACVW_v1_0;ONELOOP.MA;10.1016/0010-4655(94)00112-F ACVW_v2_0;oneloop.ma,版本 2.0;10.1016/S0010-4655(97)00098-2 本程序已从贝尔法斯特女王大学(1969-2019年)的 CPC 程序库中导入。
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