Feynman amplitudes automatic computation and its application

费曼振幅自动计算及其应用

基本信息

批准号：
04044158
负责人：
SUGAWARA Hirotaka
金额：
$ 5.18万
依托单位：
National Laboratory for High Energy Physics
依托单位国家：
日本
项目类别：
Grant-in-Aid for international Scientific Research
财政年份：
1992
资助国家：
日本
起止时间：
1992 至 1994
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-04044158/
关键词：
Standard model in particle physics Automation of perturbative calculation Expert system in physics Feynman amplitude Loop integrals Radiative correction in electro-weak theory Higgs particle High energy electron-positron collision ファインマン振幅

项目摘要

In the years 1992 and 1993, it has been reported that the GRACE system has been developed and we made documentations, comparison to other systems, application to a few physical processes. Main results of the project in 1995 are as follows :1.The graph generator for any order of amplitude is developed. The generation can be done efficiently based on the method in graph theory.2.Standard mappings for kinematics are installed in the GRACE system to be chosen by the user.3.The graphical user interface of GRACE system is improved, so that the user can specify the conditions and parameters interactively.4.Through the collaborating work between Japan and France, the connection to the PAW system developed by CERN is included in GRACE system. In result, the control of system and the display of the computation can be done in an unified environment.5.Systematic study of tree amplitudes is done. We have studied most of the important processes with final 3-body states which can be expected in the f … More uture electronpositron collider. The result is open as a format of catalog.6.For the automatic computation of one-loop amplitudes, the processes e^+e^-*tt^^- and gammagamma*tt^^- are studied.7.A method to simplify the lengthy expression of generated code for amplitudes is developed.8.Improvement of numerical integration is done to adapt the parallel computing. Using super computer VPP500, the complete computation of a five-body process, e^+e^-*e^-v^^-_eud^^-gamma, can be executed.9.The extension of system to include the supersymmetric theory is done by the upgrade of CHANEL library so that it includes Majorana particles.10.We elaborate an effective lagrangian of charged-current and neutral current electroweak interaction which contains three free parameters. The physical meaning of these parameters and the experimental value of these parameters extracted from LEP1 data are discussed on connections with the possible physics beyond the standard model.In conclusion, the expert system important for high-energy physics has been evolving in this project. Less

1992年和1993年，有报道称GRACE系统已经开发出来，我们制作了文件、与其他系统的比较、在一些物理过程中的应用。1995年该项目的主要结果如下： 1.图表。开发了任意阶振幅的生成器，可以基于图论方法高效地完成生成。2.GRACE系统中安装了标准运动学映射，供用户选择。3.改进了GRACE系统的图形用户界面，使用户能够交互式地指定条件和参数。4.通过日本和法国之间的合作，GRACE系统中纳入了与CERN开发的PAW系统的连接。系统的控制和计算的显示可以在统一的环境中完成。5.对树振幅进行了系统研究，我们已经研究了最终三体状态的大部分重要过程，这些过程可以在f…更真实结果以目录格式开放。6．对于单环振幅的自动计算，研究了e^+e^-*tt^^-和gammagamma*tt^^-过程。7．提出了一种简化振幅生成代码的冗长表达式的方法。8.改进数值积分以适应并行计算，使用超级计算机VPP500完成五体过程的计算。 e^+e^-*e^-v^^-_eud^^-gamma，可以执行。9.系统的扩展包括超对称理论，这是通过升级CHANEL库来完成的，使其包括马约拉纳粒子。 10.我们详细阐述了带电电流和中性电流电弱相互作用的有效拉格朗日函数，其中包含三个自由参数，讨论了这些参数的物理意义以及从LEP1数据中提取的这些参数的实验值与超出标准的可能物理的联系。型号.In结论是，对于高能物理重要的专家系统在这个项目中得到了发展。