Automatic computation of higher order corrections

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。2.计算了4-费米子和1个光子以及6-费米子在正负电子湮灭中的截面，并在某些情况下实现了计算。3.将GRACE系统推广到超对称模型。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。

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.