Automatic computation of higher order corrections

1.为了在LEP-II上研究w物理，grc4f包由GRACE系统衍生而来。在欧洲，日本成员、法国合作者和LEP实验家之间进行了详细的讨论。结果的交叉核对是与莫斯科国立大学的合作成员一起完成的。在电子-正电子湮灭的某些情况下，可以实现4-费米子和光子的截面计算，以及6-费米子的截面计算。将GRACE系统扩展为超对称模型。实现了规范不变性自检。开发了单环环积分库。采用约简法对五点函数进行扩展。单回路工艺自动化系统日趋完善。对于二对二过程，该系统精确地适用于各种通道。其中，对e^+e^-*W^+W^-进行了与解析计算的详细比较。进一步研究了e^+e^-*Wmunu过程。完成了与波兰团队的合作，将GRACE生产的软件包安装到他们的辐射校正程序KORALW.7中。并行计算是加速本项目研究的大型计算的一个很好的候选。对PVM系统的研究表明，这是可行的。研究了双环函数的数值计算方法，该方法可以计算到非平面顶点函数。以双环自动化系统为例，研究了介子异常磁矩的电弱校正。针对光子-光子反应中的QCD射流，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.