Automatic computation of higher order corrections

自动计算高阶修正

• 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

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上的W-物理，从GRACE系统中派生了grc 4f程序包。在欧洲，日本成员、法国合作者和LEP实验者之间进行了详细的讨论。与莫斯科国立大学的合作成员对结果进行了交叉验证。2.在电子-正电子湮没的某些情况下，可以实现4-费米子和一个光子以及6-费米子截面的计算。3.将GRACE系统扩展到超对称模型。实现了基于规范不变性的自测试。4.开发了单回路回路积分库。用归约法对五点函数进行了推广。5.单回路过程自动化系统得到了很好的发展。对于二对二的过程，系统精确地适用于各种通道。其中，对e^+e^-*W^+W^-进行了详细的计算，并与解析计算进行了比较. 6.与波兰小组合作，将GRACE软件包安装到他们的辐射校正程序KORALW中。7.并行计算是加速本项目所研究的大规模计算的一个很好的选择。对PVM系统的研究表明这是可能的。8.研究了双圈函数的数值方法，它可以计算到非平面顶点函数。9.作为双圈自动系统的一个例子，研究了μ子反常磁矩的电弱修正。10.对于光子-光子反应中的QCD喷注，我们研制了一个事件发生器GGPS。

项目成果

M.Jimbo: "The GRACE system for SUSY Processes" Proceedings of the Fifth Workshop on Japan Linear Collider (JLC). 1. 98-107 (1995)

M.Jimbo：“用于 SUSY 过程的 GRACE 系统”第五届日本直线对撞机 (JLC) 研讨会论文集。

T.Kon et al.: "Light Scalar Top And HEVY Top Signature at CDF" Phys.Rev.D50. 6005-6008 (1994)

T.Kon 等人：“CDF 的 Light Scalar Top 和 HEVY Top Signature”Phys.Rev.D50。

T.Munehisa et al.: "A parton shower model for hadronic two-photon process in e^+e^- scattering" Z.Phys.C70. 655-660 (1996)

T.Munehisa 等人：“e^ e^- 散射中强子双光子过程的部分子簇射模型”Z.Phys.C70。

S.Kawabata: "A New Version of the Multidimensional Integration and Event generation package BASES/SPRING" Comp.Phys.Commun.88. 309-326 (1995)

S.Kawabata：“多维集成和事件生成包 BASES/SPRING 的新版本”Comp.Phys.Commun.88。

M.Jimbo et al: "Automatic calculation of SUSY-Particle Production" Proceedings of Xth Int.Wcrkshop on High Energy Physics and Quantun Field Theory. 1. 155-161 (1996)

M.Jimbo 等人：“SUSY-粒子产生的自动计算”第 Xth Int.Wcrkshop 高能物理和量子场论论文集。