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

在1992年和1993年的几年中，据报道，宽限系统已经开发出来，我们制作了文档，与其他系统进行比较，对一些物理过程的应用。该项目在1995年的主要结果如下：1。开发了用于任何放大器顺序的图生成器。 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.结果，可以在统一的环境中进行系统的控制和计算的显示。我们已经研究了大多数重要的过程，这些过程具有最终的三体状态，这些过程可以在F…更多的Euture Electronicpositron对撞机中预期。结果是作为目录的格式打开的。6。对于单环放大器的自动计算，研究了e^+e^ - *tt ^^ - 和gammagamma*tt ^^ - 的过程。7.a.7.a来简化用于放大器的生成代码的冗长表达的方法。使用超级计算机VPP500，可以执行五体过程的完整计算，即E^+E^ - *e^ - *e^ - *e^ - eud ^^ - gamma。参数。这些参数的物理含义以及从LEP1数据中提取的这些参数的实验值讨论了与标准模型之外可能的物理的连接有关。结论，在该项目中，对高能量物理的专家系统对高能物理很重要。较少的