微中子質量順序之研究

A study of determination of neutrino mass hierarchy

周宏宇(Hong-YU Chou)

指導教授 ： 陳樫旭

淡江大學/理學院/物理學系碩士班/碩士(2022年)

https://doi.org/10.6846/TKU.2022.00066

摘要

微中子振盪已被證實可以解決長期存在的太陽中微子問題。關鍵是所謂的 Mikheev-Smirnov-Wolfenstein 效應，它考慮了微中子在傳播過程中與物質之間的相互作用。微中子之間的震盪機率取決於電子數密度、微中子的能量和微中子質量差等參數，其中的質量差來自微中子質量本徵態。借助混合角測定發現在太陽環境，可以確認質量本徵態的順序（2 > 1）。但是，對於第三個質量本徵態的排序仍然存在歧義。在這個項目中，我們利用穿過地球核心的大氣中微子的物質效應來研究質量順序問題。我們討論了通用的理論方法，然後與IceCube的收集數據進行了比較。調查了確定系統誤差和統計誤差。

關鍵字

微中子震盪 ； 微中子質量順序

並列摘要

Neutrino oscillation has been confirmed as the resolution to the long-standing solar neutrino problem. The key is the so-called Mikheev-Smirnov-Wolfenstein effect which takes into account the interaction between neutrinos and matter during the propagation. The resonant transition probability among neutrino depends on parameters such as the number density of electrons, neutrino energies, and mass differences of neutrinos (refers to neutrino mass eigenstates). It was found the solar environment with the aid of mixing angle determination, the sign of can is confirmed. However, ambiguity remains for the ordering of 3-1 mass-squared difference. In this project, we study the mass hierarchy (MH) problem by utilizing the matter effect of atmospheric neutrinos which pass through the core of Earth. We discuss the generic theoretical approach and then compare it with the collecting data from IceCube. The systematic, as well as statistical errors to pin down the MH, are investigated.

並列關鍵字

neutrino oscillation ； neutrino mass hierarchy ； MSW effect

參考文獻

[1] M. Apollonio et al. Search for neutrino oscillations on a long base-line at

the CHOOZ nuclear power station. 13 Jan 2003. URL https://arxiv.org/

pdf/hep-ex/0301017.pdf.

[2] J. N. Bahcall. Solar Model: An Historical Overview. Nuclear Physics B

(Proc. Suppl.) 118(2003) 77-86, 2003. URL http://www.sns.ias.edu/~jnb/