Systematic Study of Super Symmertric models.

超对称模型的系统研究。

• 批准号: 10640285
• 负责人: KANEKO Toshiaki
• 金额: $ 0.64万
• 依托单位: Meiji Gakuin University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1998
• 资助国家: 日本
• 起止时间: 1998 至 2000
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10640285/
• 关键词: automatic calculation; Feynman amplitudes; Super symmetry; MSSM; Feynman rules; Non-linear gauge; Computer algebra; Lagrangian; GRACE; SUSY; 自動計算; 数式処理; 摂動論

We have been developing an automatic calculating system of Feynman amplitudes grace. In this Study, we have extended this system for Majorana particles and vertices in which Fermion numbers do not conserve. With a file describing Feynman rules of MSSM, grace system automatizes the whole proeess from the generation of Feynman graphs to the calculation of scattering cross sections and the generation of simulated events.We have also extended the system for 1 loop processes in both standard model and MSSM. For standard model, calculation in non-linear gauge is available, with which one can numerically confirm the gauge invariance of the obtained results.In MSSM, we have 86 particles, 3803 tree vertices and counter terms. We wrote them down in a machine readable form and we have checked gauge invariance for all possible processes with 6 external particles in order to confirm the correctness of the input Feynman rules. This procedure requires a large amount of man power and computer resources. It is not easy task to introduce such a complicated models by hand and is necessary to introduce a system which derive Feymnan rules from arbitral Lagrangian.We have started to develop special purpose symbolic manipulating system. Since a Lagrangian includes wide varieties of mathematical objects, we are developing it as an interpreter of a newly designed computer programming language. It includes as usual computer programming language, functions of control structures, sub-program and composite data structures such as lists, arrays and records. It also manipulates rational numbers of arbitrary precision, mathematical symbols and symbolic mathematical operations. At this moment, we can derive Feynman rules automatically for QED with this system.

我们一直在开发Feynman振幅Grace的自动计算系统。在这项研究中，我们已将该系统扩展到了fermion数量不保存的主要粒子和顶点。通过描述MSSM的Feynman规则的文件，Grace系统将整个主体自动化从Feynman图的产生到散射横截面的计算和模拟事件的计算。我们还扩展了标准模型和MSSM中1个循环过程的系统。对于标准模型，可以使用非线性仪表中的计算，可以通过数值确认所获得结果的规规不变性。在MSSM中，我们有86个颗粒，3803棵树顶点和反词。我们以机器可读的形式写下它们，并检查了所有可能的流程的量规不变性，以确认输入Feynman规则的正确性。此过程需要大量的人力和计算机资源。通过手工引入这样一个复杂的模型并不容易，并且有必要引入一个从仲裁拉格朗日（Lagrangian）获得Feymnan规则的系统。我们已经开始开发特殊的符号符号操纵系统。由于Lagrangian包括各种数学对象，因此我们将其作为新设计的计算机编程语言的解释开发。它像往常一样包括计算机编程语言，控制结构的功能，子程序和复合数据结构，例如列表，数组和记录。它还操纵了任意精度，数学符号和符号数学操作的合理数量。目前，我们可以自动为使用此系统的QED得出Feynman规则。

项目成果

Belange 他: "Implementation of the nonlinear gauge into GRACE"New Computing Techniques in Physical Research. V1. 206-210 (2000)

Belange 等人：“GRACE 中非线性规范的实现”物理研究中的新计算技术 V1。

F. Yuasa, T. Kaneko, T. Ishikawa: "A Feynman graph selection tool in GRACE system"in "Advanced Computing and Analysis Techniques in Physics Research", ed. P.C.Bhat and M.Kasemann, AIP Conference Proceedings. 583. 176-178 (2001)

F. Yuasa、T. Kaneko、T. Ishikawa：“GRACE 系统中的费曼图选择工具”，《物理研究中的高级计算和分析技术》，编辑。

J. Fujimoto, T. Ishikawa, T. Kaneko, K. Kato, M. Kuroda, V. Lafage and Y. Shimizu: "Automatic Calculation of One-loop Radiative Corrections to SUSY Processes with GRACE System"in "New Computing Techniques in Physics Research VI", Ed. G.Athanasiu and D.Per

J. Fujimoto、T. Ishikawa、T. Kaneko、K. Kato、M. Kuroda、V. Lafage 和 Y. Shimizu：“使用 GRACE 系统自动计算 SUSY 过程的单环辐射校正”，《新计算技术》

Lafage 他: "Spin and spin-spin correlations in chargino pair production at future linear e^+e^-colliders"Int. J. Mod. Phys.. A14. 5075-5092 (1999)

Lafage 等人：“未来线性 e^+e^-对撞机中的自旋和自旋-自旋相关性”Int. Mod. 5075-5092 (1999)。

藤本 他: "Automatic Calculation of One-loop Radiative Corrections to SUSY Processes with GRACE system"New Computing Techniques in Physical Research. V1. 261-265 (2000)

Fujimoto 等人：“使用 GRACE 系统自动计算 SUSY 过程的单环辐射校正”物理研究中的新计算技术 V1（2000 年）。