Studies for gauge-Higgs unification theories and quark-lepton generation structure

为了理解夸克-轻子的产生结构，我们尽可能独立于模型地研究了顶夸克的性质。更具体地说，我们写下了MC顶对产生的最一般协变振幅，并对其进行了唯象分析。接下来，我们在光子-光子对撞机上进行了顶对产生和衰变，以便从略有不同的角度进行研究。因此，很明显，单靠光子对撞机实验很难确定所有独立的参数，但如果我们能将ILC和光子对撞机的结果适当地结合起来，就有可能进行高精度的分析。然后，我们研究了一种通过非标准希格斯玻色子与标准粒子如顶夸克和缪子的耦合来澄清非标准希格斯玻色子的可能方法。我们还成功地推导出了规范-希格斯统一理论中SU(N)规范群高维分量的单圈有效势的一般公式。此外，在夸克-轻子产生结构的研究中，我们还利用超对称理论推导了带电轻子的质量公式。这个关系给了我们一个寻找质量起源的线索，我们的新程序为理解夸克-轻子的产生结构提供了一个新的方向。我们还将我们的方法应用于中微子领域。此外，我们还分析了一个新的模型，在该模型中，超对称性在假真空中动态破缺。我们还进行了唯象分析，结果表明，加吉诺的质量通常会比标量粒子的质量轻。在这种情况下，它被允许使用肠道标度作为截止点，我们可以避免所谓的朗道极点问题。

Aiming to understand the quark-lepton generation structure, we have studied the property of top quark as model-independently as possible. More concretely speaking, we write down the most general covariant amplitude for top-pair productions at MC and analyzed it phenomenologically. Next we have taken top-pair productions and decays at photon-photon colliders in order to carry out studies from a bit different point of view. Consequently, it became clear that it will be hard to determine all the independent parameters via photon-collider experiments alone, but if we can combine the results from ILC and the photon collider properly, it will be possible to perform high precision analyses. Then we studied a possible way to clarify non-standard Higgs bosons through their coupling to standard particles like top-quark and muon.We also succeeded to derive a general formula of one-loop effective potential of higher dimensional components of SU(N)gauge group in gauge-Higgs unification theory. Moreover we derived a mass formula of the charged leptons in the study of quark-lepton generation structure, using super-symmetric theories. This relation gives us a hint to find the origin of mass, and our new procedure shows a new direction to understand the quark-lepton generation structure. We also applied our method to the neutrino sector. Furthermore we analyzed a new model in which the supersymmetry is broken dynamically in the false vacuum. We also performed phenomenological analyses and showed that gaugino's mass can generally get lighter than that of scalar particles. In this case, it is allowed to use the GUT scale as the cut-off and we can avoid the so-called Landau's pole problems.