Feynman amplitudes automatic computation and its application

在1992年和1993年，据报道，GRACE系统已经开发出来，我们做了文献，与其他系统的比较，应用于一些物理过程。1995年该项目的主要成果如下：1.开发了任意阶幅度的图形发生器。2.在GRACE系统中安装了标准的运动学映射，供用户选择; 3.改进了GRACE系统的图形用户界面，使用户可以交互地指定条件和参数; 4.通过日法合作，GRACE系统中包括与CERN开发的PAW系统的连接。系统的控制和计算结果的显示可以在一个统一的环境中完成。5.对树木振幅进行了系统的研究。我们已经研究了大多数具有最终三体态的重要过程，这些过程可以在f ...更多信息 正负电子对撞机6.针对单圈振幅的自动计算，研究了过程e^+e^-*tt^^-和gamma *tt^^-; 7.提出了一种简化振幅生成代码冗长表达式的方法; 8.对数值积分进行了改进，以适应并行计算。在超级计算机VPP 500上实现了对五体过程e^+e^-*e^-v^-_eud^^-gamma的完整计算。9.对CHANEL库进行了升级，使其包含了Majorana粒子，从而将系统扩展到包含超对称理论。结合标准模型之外的可能物理，讨论了这些参数的物理意义和从LEP 1数据中提取的这些参数的实验值，从而得出了高能物理专家系统的结论。少

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