在暗物質的有效理論,我們假設暗物質是狄拉克自旋1/2的粒子和假設暗物質只會與夸克交互作用,之中的交互作用形式,我們只考慮四種運算子。
由於到目前為止,大強子對撞機還沒發現任何暗物質的訊號,所以有關於質子質子對撞產生暗物質的散射截面會有上限的限制,因此在有效理論中的純量參數,會得到一個下限值。
我的工作主要是計算三種過程的散射截面,這三種過程分別是質子對撞產生暗物質對和光子,質子對撞產生暗物質對和輕子對,質子對撞產生暗物質對和輕子和反微中子。
經由分析大強子對撞的數據,模擬的結果在圖4.1~4.4表示,這是有效理論中的純量參數值的下限對暗物質作圖。圖4.5~4.8則是暗物質對質子的散射截面的上限圖,這是依據圖4.1~4.4的結果而來的。圖4.5~4.8曲線的特性是在暗物質質量小於100Gev下,曲線是很平緩變化,這個結果可以跟暗物質的直接觀測實驗做一個比較。

1 Introduction
2 Effective Field Theory For Dark Matter
3 Search Dark Matter In LHC
3.1 The process: pp -> darl matter pair + monophoton
3.1.1 Feynman diagram & Amplitude
3.1.2 Amplitude square
3.1.3 Three body phase space
3.1.4 Kinematics
3.1.5 Lorentz boost
3.1.6 Parton distribution function
3.1.7 Cross section
3.1.8 Kinematic cuts in experiments
3.1.9 The other operators we consider: pseudo vector (D8) ,
tensor (D9) , scalar (D1)
3.2 The process: pp -> dark matter pair + dileptons
3.2.1 Resonance
3.2.2 Cross section
3.2.3 Feynman diagram & Amplitude
3.3 The process: pp -> dark matter pair + monolepton + neutrino
3.3.1 Cross section
3.3.2 Feynman diagram & Amplitude
4 Simulation & Results
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