Automatic computation of higher order corrections

1.为了研究LEP-II上的W物理，从GRACE系统中产生了grc4f程序包。日本成员、法国方面的合作者和LEP实验者在欧洲进行了详细的讨论。结果与莫斯科国立大学的合作成员进行了交叉验证。2.计算了4-费米子和1个光子的截面，以及在某些情况下6-费米子的截面可以在正电子湮没中实现。3.将GRACE系统推广到超对称模型。实现了规范不变性的自检。4.开发了单回路积分库。用归约法对五点函数进行了扩展。5.单回路过程的自动化系统日益成熟。对于两到两个流程，该系统精确地适用于各种渠道。其中，对e^+e^-*W^+W^-进行了详细的解析计算比较。在此基础上，进一步研究了e^+e^-*Wmunu过程。6.完成了与波兰团队的协作工作，并将Grace提供的程序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候选方案。对PVM系统的研究表明这是可能的。8.研究了双环函数的数值方法，它可以计算到非平面顶点函数。9.作为双环自动系统的一个例子，研究了对Muon反常磁矩的电弱修正。10.针对光子-光子反应中的QCD喷注，研制了一种事件发生器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.