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。

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