臺灣博碩士論文加值系統

標準模型在二十世紀是一個發展完備的模型，透過許多實驗的測試，標準模型都能準確的預測夸克家族成員的存在。但是在二十一世紀有許多超越標準模型的現象學紛紛開始出現，例如微中子質量不為零、暗物質的存在、物質反物質的不對稱等等。這些現象學很直接地告訴物理學家，標準模型有其有效性，其有效性會在某個能量尺度底下試用。至今，我們依然不知道標準模型的有效能量尺度為何。這也就延伸成一個”階層問題”。於是，我們針對”階層問題”去提出假設，假設在兆電子伏特的能量尺度以上會出現新物理，而此新物理的能量尺度可以延緩階層問題存在的嚴重性。
我們使用”最小組合希格斯場模型”當”超越標準模型”的基礎理論，從中選取頂夸克與Z波色子的單一生成頻道去做模擬分析，找尋”頂夥伴”。在我們的分析之中，大強子對撞機的中心能量為14兆電子伏特，積分光度為300飛靶分之一。最後，我們給出來自超越標準模型與標準模型經過分析後剩餘的訊號作為結論。

We all know the Standard Model cannot describe all phenomena emerging from modern experiments. Apparently, it must exists a Beyond Standard Model which can satisfy some or all phenomena. In the beginning, we at- tempt to solve the Hierarchy problem which has disturbed at the physicist so far. In brief, that means we are able to find one new particle at least on TeV energy scale at the Large Hadron Collider (LHC).
Following the Minimal Composite Higgs Model (MCHM), it bases on a large symmetry SO(5)/SO(4) in strong dynamic sector above electroweak scale v. Therefore, it predicts heavy fermionic quarks (top partners) at the TeV energy order. We apply several analysis tools, such as Feynrule, Mad- graph 5, and MadAnalysis 5, doing simulations for those extra fermionic quarks at 14 TeV and luminosity equals to 300fb−1.
For illumination, we use ”Singlet T Model”, which only remains a charge 2/3 top partner mixing with Standard Model by Yukawa interaction. Fur- thermore, we employ a model independent framework, which can apply in any models with extra vector-like quarks, as simplified model approach. For instance, you can use the model independent framework in Little Higgs Model (LHM) with T parity. As we know that the Singlet T Model is the most simplest case in MHCM. However, There are still a number of ways to assign the representation and the interaction between the different charge of vector-like quarks. It is totally beyond this work and others group have done a few researches. As a result, we will represent the probability to discover the new state in T → tZ channel.

1 Introduction ................1
2 Motivation ...............5
3 Minimal Composite Higgs Models ...................7
3.1 The substantial of SO(5)/SO(4)byCCWZ ...........7
3.1.1 The d and e symbols ................... 10
3.2 The detail of Minimal Composite Higgs Model...12
3.2.1 Top partners in the fourplet ............... 13
3.2.2 Top partners in the singlet................ 16
3.3 Coupling to Goldstone Bosons.................. 17
4 The Simplified model .........................21
5 LHC phenomenology .......................25
5.1 Eventgeneration ......................... 25
5.2 Eventpre-selection ........................ 27
5.3 Selection cut ........................... 27
6 Conclusion ............................35

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