Theoretical studies on SUSY-particle search at colliders

由于存在大量粒子，特别是马约拉纳粒子和费米子数违反顶点，在玻恩水平上计算超对称性过程的横截面已经非常麻烦。我们Minami Tateya小组已经完成了MSSM中Born截面计算的自动化。结果结晶为程序包GRACE/SUSY。在GRACE/SUSY的基础上补充了单环幅值的计算例程，构建了包含单环辐射修正、初末态实光子辐射的MSSM自动计算包GRACE/SUSY/L。关于重整过程，我们使用了以下方案：[1]壳上重整。[2]降维。规范对称重整化。[4]具有线性量规固定功能。包已经用两种方法检出了。(1)紫外散度和红外散度消失。(2)与人工计算结果或已发表在期刊上的结果进行比较。由于这两种方法不足以检测出包装中一些潜在的错误，我们在这个包装中安装了非线性的量规固定功能，在标准模型的情况下，它被证明为检查包装的自一致性提供了一个强大的工具。为了实际应用，我们详细分析了希格斯粒子产生的五个过程。

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.