在此論文中，我們提出了一個理論框架來討論關於運用重力波探測器作為其他
正在進行中的實驗如暗物質直接探測實驗以外，來尋找暗物質訊號的新方法。
我們模擬出當暗物質與重力波干涉儀如 KAGRA 裡的懸掛系統發生交互作用時
所得出的潛在訊號及所有在系統裡主要的背景雜訊。我們的模擬結果可以提供
一個之後能套用到實驗數據上的模板以約束暗物質的參數範圍。在這研究裡，
我們考慮了兩個可能的物理情況那就是在不同質量的暗物質與懸掛系統之間所
發生的兩種不同形態的交互作用。我們也通過數值計算以估計訊號雜訊比及發
生率。

In this thesis, we propose a framework of utilizing a gravitational wave detector to search for a dark matter signal as an alternative to other undergoing efforts, such as direct detection experiments. We simulate both, a potential dark matter signal when it interacts with the suspension system in a gravitational wave interferometer which in our case, is KAGRA, and all dominant background noises within the system. The outcome of our simulation can serve as a template to analyse on the experimental data later on for constraining the DM parameter space. In our study, we consider two possible physics scenarios in which there are two different types of interaction between dark matter with different masses and the suspension system. We have also performed numerical calculation to estimate the signal-to-noise ratio and event rate.

Acknowledgements...i
摘要... ii
Abstract...iii
Contents...v
List of Tables...vi
List of Figures...vii

1 Introduction...1
1.1 Background...1
1.2 Motivation...2
1.3 Something about DM...2
1.3.1 Approaches of DM search...3
Something about GW Detectors...5
1.4.1 Suspension Thermal Noise...6
1.4.2 Quantum Noise...7
1.4.3 Other noise components...8

2 Toy Model: A Damped Harmonic Oscillator...9
2.1 Background Noise...10
2.2 DM signal...12
2.3 SNR...15

3 Light DM with Short-range Interaction...18
3.1 Background Noise...19
3.1.1 Suspension thermal noise...20
3.1.2 Other noise components...23
3.2 DM signal...26
3.3 SNR Calculation...28
3.4 Cancellations in the DM signal spectrum...31

4 Heavy DM with Long-range Interaction...34
4.1 Modelling the Heavy DM Scattering...35
4.2 Directional and Parameter Dependence of the SNR...39
4.3 Expected Event Rates...45

5 Other Technologies...52
5.1 Space-based GW detectors...52
5.2 Atomic Interferometers...53

6 Summary...55

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