Theoretical studies on SUSY-particle search at colliders

由于大量粒子的存在，特别是Majorana粒子的存在，以及违反顶点的费米子数的存在，在Born水平上计算SUSY过程的截面已经非常繁琐。我们，南塔特亚小组，已经完成了MSSM中出生截面计算的自动化。结果被结晶为GRACE/SUSY程序包。补充GRACE/SUSY程序和单圈振幅计算程序，我们构造了包括单圈辐射修正和初始和末态真实光子辐射GRACE/SUSY/L的MSSM自动计算程序包。关于重整化过程，我们使用了以下方案：[1]壳层重整化。[2]降维。[3]规范对称重整化。[4]具有线性定尺功能。包已通过两种方法进行了检查。(1)紫外线发散和红外发散的消失。(2)与手工计算的结果或已发表在期刊上的结果的比较。由于这两种方法不足以检测封装中的一些潜在错误，我们在这个封装中安装了非线性规范固定功能，在标准模型的情况下，这被证明是一个强有力的工具来检查封装的自相干性。

The computation of the cross section of the SUSY processes is very cumbersome already on the Born level due to the existence of a large number of particles, in particular of Majorana particles, and fermion number violating vertices. We, the Minami Tateya group, have completed the automatization of the computation of the Born cross section in MSSM. The result is crystallized as the program package GRACE/SUSY.Supplementing GRACE/SUSY with the routines for the computation of the one-loop amplitudes, we have constructed the package of the automatic computation of the MSSM processed including the one-loop radiative corrections as well as the initial and final state real photon radiation GRACE/SUSY/L. Concerning renormalization procedure we have used the following scheme : [1] The on-shell renormalization. [2] The dimensional reduction. [3] The gauge symmetric renormalization. [4] A linear gauge-fixing functions. The package has been checked in two methods. (1) The vanishing of ultraviolet divergence and the infrared divergence. (2) The comparison with the results obtained by hand-computing or with the result already published in journals. Since these two method are not sufficient to detect some potential errors in the package, we are installing the non-linear gauge fixing functions in this package, which in the case of the Standard Model, is proven to provide a powerful tool for the check of self-consistency of the package.For the practical application, we analyzed in detail five processes of Higgs production.