Automatic computation of higher order corrections

自动计算高阶修正

基本信息

批准号：
07044097
负责人：
SHIMIZU Yoshimitsu
金额：
$ 4.1万
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：
1995
资助国家：
日本
起止时间：
1995 至 1996
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07044097/
关键词：
Standard Model Automation in perturbation Expert system in physics Feynman amplitude Loop integral High-energy electron-positron collison Higgs particle Radiative correction in electro-weak theory 素粒子の標準模型摂動論の自動計算物理のエキスパートシステムファイン

项目摘要

1.In order to study the W-physics at LEP-II,the grc4f package is spawned from GRACE system. Detailed discussions have been held in Europe between Japanese members, French-side collaborators and LEP experimentalists. Cross-check of the results is done with collaborating members in Moscow State Univ.2.Caculation of the cross sections for the 4-fermions and a photon, and that for 6-fermions can be realized for some cases in electron-positron annihilation.3.GRACE system is extended into the super-symmetric model. The self-test by gauge invariance in implemented.4.The library for loop intergral in one-loop has been developed. Extension to five-point function is done by reduction method.5.Automated system for one-loop processes becomes well-developed. For two-to-two processes the system works precisely for various channels. Among them, detailed comparison with analytic calculation is done for e^+e^-*W^+W^-. Further, e^+e^-*Wmunu process is studied.6.Collaborating work with Polish group is done, and the package produced by GRACE is installed into their radiative correction program, KORALW.7.Parallel computing is a good candidate to accelerate huge computations studied in this project. The research for PVM system has shown that it can be possible.8.Numerical method for two-loop functions is invetigated and it can calculate up to the non-planer vertex functions.9.As an example of automated system in two-loop, the electro-weak correction to the anomalous magnetic moment of muon is studied.10.For the QCD jets in photon-photon reaction an event generator, GGPS,has been developed.

1.为了研究LEP-II的W物理，从GRACE系统衍生出grc4f包。日本成员、法方合作者和 LEP 实验者在欧洲进行了详细讨论。与莫斯科国立大学的合作成员对结果进行了交叉检查。2.计算4-费米子和光子的横截面，以及6-费米子的横截面，可以在电子-正电子湮灭的某些情况下实现。 3.GRACE系统扩展到超对称模型。实现了规范不变性自检。4.开发了单循环循环积分库。采用约简法对五点函数进行推广。 5、单循环过程自动化系统日趋完善。对于两到两个流程，系统可以针对各种渠道精确工作。其中，对e^+e^-*W^+W^-进行了详细的解析计算比较。进一步研究了e^+e^-*Wmunu过程。6.与Polish小组合作，将GRACE制作的包安装到他们的辐射校正程序KORALW中。7.并行计算是加速的一个很好的选择。该项目研究了巨大的计算量。 PVM系统的研究表明这是可能的。8.研究了二环函数的数值方法，它可以计算到非平面顶点函数。9.以二环自动化系统为例，研究了μ子反常磁矩的电弱校正。10.针对光子-光子反应中的QCD射流，开发了事件发生器GGPS。