# 臺灣博碩士論文加值系統

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 直至今日，微中子的本質仍舊是標準模型中知之甚少的篇章。微中子震盪係由六個不同的參數所決定：兩個質量平方差參數，三個混合角參數，以及一個CP-violating因子。這六個參數的值已經由許多實驗來測定。本研究之目的在於使用現今所有種類的實驗數據，並藉由綜合數據分析來給定微中子震盪參數之最適化值及其相關的誤差信賴區間，然而就分析方法而言，我們將焦點放在分析大氣微中子數據的方式，且此大氣微中子之數據來自超級神岡實驗。本篇論文共計五個章節。第一章簡介微中子的歷史發展與相關實驗。第二章描述微中子震盪的基本原理和數學模型。在第三章中，我們將說明及展示超級神岡實驗的整體架構和細節。分析超級神岡實驗數據的方法會在第四章完整描述。最後在第五章，我們結合所有種類的實驗數據，給出微中子參數綜合數據分析的結果並和其他文獻做比較。
 The nature of neutrinos remains one of the least understood sections in standard model. Neutrino oscillations are governed by six different parameters: two mass-squared differences, three mixing angles, and one CP-violating phase. The values of these six parameters have been measured by several experiments. The goal of this thesis is to do global fit of neutrino oscillation parameters by using existing global neutrino data from several experiments, while we focus on the details in the fit of neutrino oscillation parameters using atmospheric neutrinos from Super-Kamiokande experiment. This thesis is divided into five chapters. In chapter one, we summarize the history of neutrino physics and experiments. Chapter two describes the principles of neutrino oscillations. Chapter three demonstrates the details in Super-Kamiokande experiment. Chapter four shows the analysis method for Super-Kamiokande data. In chapter five we display the global fit results of neutrino oscillation parameters by combining all kinds of experiment data and compare our results with other literature.
 Chapter 1 Introduction to Neutrino Physics 11.1 Neutrino History . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11.2 Neutrino Masses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21.3 Atmospheric Neutrinos . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3Chapter 2 Neutrino Oscillations 52.1 Oscillations in Vacuum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52.2 Oscillations in Matter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8Chapter 3 Super-Kamiokande 153.1 Super-Kamiokande Detector . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 163.2 Cherenkov Radiation in Water . . . . . . . . . . . . . . . . . . . . . . . . . . . . 183.3 Simulation of Atmospheric Neutrino . . . . . . . . . . . . . . . . . . . . . . . . . 193.4 Event Selection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20Chapter 4 Analysis for Oscillation Parameters 234.1 SK-I Data Set . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 234.2 Oscillation Manipulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 234.3 Pull Method and Systematic Errors . . . . . . . . . . . . . . . . . . . . . . . . . 274.4 Programs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 304.5 Results of the Fit to SK Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39Chapter 5 Global Fit for Neutrino Oscillation Parameters 455.1 Global Fit Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 455.2 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
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 1 香港仔隧道實驗室宇宙射線感應中子之研究

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