臺灣博碩士論文加值系統

我們利用非連續群擴展建立了一個暗物質模型。不同於過去常使用的$ Z_2 $對稱性，這個模型容許兩種暗物質存在。我們討論它的現象以及探測到其暗物質粒子的可能性。同時這個模型有機會解釋暗物質間的交互作用。

We build up a simple model for dark matter problem with discrete symmetry extension. Different from the $ Z_2 $ symmetry extension which is frequently used, this model allow two dark matter to exist. We discuss its phenomena and possibility to detect the dark matter candidate. And this model might be helpful to explain the self-interacting dark matter.

Contents
1 Introduction . . . . . . . . . . . . . . . . . . . . . 4
2 Model . . . . . . . . . . . . . . . . . . . . . 5
2.1 Z3 symmetry . . . . . . . . . . . . . . . . . . . . . 5
2.2 S3 symmetry . . . . . . . . . . . . . . . . . . . . . 6
2.3 O(2) symmetry . . . . . . . . . . . . . . . . . . . . . 7
3 Cosmological constraint . . . . . . . . . . . . . . . . . . . . . 8
3.1 Boltzmann equation . . . . . . . . . . . . . . . . . . . . . 8
3.2 Annihilation cross-section . . . . . . . . . . . . . . . . . . . . . 11
3.3 Freeze-out temperature . . . . . . . . . . . . . . . . . . . . . 12
4 Detection . . . . . . . . . . . . . . . . . . . . . 15
4.1 Direct detection . . . . . . . . . . . . . . . . . . . . . 15
4.2 Indirect detection . . . . . . . . . . . . . . . . . . . . . 18
5 Phenomena in collider . . . . . . . . . . . . . . . . . . . . . 22
5.1 The mh > 2mφ case . . . . . . . . . . . . . . . . . . . . . 22
5.2 The mh < 2mφ case . . . . . . . . . . . . . . . . . . . . . 23
6 Conclusions . . . . . . . . . . . . . . . . . . . . . 24

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