Automatic computation of higher order corrections

点击翻译按钮获取中文摘要

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.