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研究生： 顏維廷
Yen, Wei Ting
論文名稱： A4模型加入輕的惰性微中子擴展成一般化的情況下預測theta(13)
A4 model of one light sterile neutrino in the general case for predicting non-zero theta 13
指導教授： 張敬民
Cheung, Kingman
口試委員: 徐百嫻
Hsu, Pai-hsien
張維甫
Chang, We-Fu
學位類別： 碩士
Master
系所名稱： 理學院 - 物理學系
Department of Physics
論文出版年： 2015
畢業學年度： 103
語文別： 英文
論文頁數： 42
中文關鍵詞： neutrino 、A4 model 、Trimaximal
外文關鍵詞： neutrino, A4 model, Trimaximal
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    • 微中子震盪暗示微中子有質量, 標準模型不能解釋, 因而有許多新提出的理論, 像是seesaw mechanism, discrete flavor symmetry model, 本研究將利用非常流行的A4模型, 在A4模型中, 利用將可能項列出, 致使簡化模型變成一般化, 從而在A4模型預測U13的微小值.

    Neutrino oscillation is an interesting experiment that implies neutrinos have masses. As we know the standard model dose not explain this phenomenon.
    There are so many models beyond standard model try to explain this phenomenon, such as seesaw mechanism(LR Symmetry Model can be its framework), discrete flavor symmetry models etc.. In this paper we introduce to the popular A4 flavor symmetry model. One light sterile neutrino can be easily accommodated in the A4 model. The simpli ed case, we fi nd out Ue3 of neutrino mixing matrix is zero. From the latter experiment data appears to theta(13) =\= 0 , therefor we extended simpli ed case to general case, the deviation from simpli ed model is discussed numerically.

    1 Introduction 2 The discrete flavor symmetry models 2.1 group theory 2.1.1 S3 group 2.1.2 S4 group 2.1.3 A4 group 2.2 A flavor Symmetry model with A4 2.3 The breaking of SO(3) to A4 2.3.1 The connection between A4 and SO(3) 2.3.2 A model based on SO(3) 􀀀to A4 3 Introduction to neutrino mixing matrix 3.1 Trimaximal 3.2 Bimaximal 3.3 Tri-Bimaximal 3.4 Modfi cations to the Tri-Bimaximal neutrino mixing 3.4.1 Tri-Bimaximal neutrino mixing in the A4 model 3.4.2 Deviation from Tri-Bimaximal in A4 flavor symmetry 4 One light sterile neutrino in A4 flavor Symmetry model 4.1 Mixing matrix 4.2 One sterile neutrino from A4 model 4.2.1 The simpli ed case 4.2.2 In general case 4.2.3 Discussion34 4.2.4 Conclusion 5 Appendix: Group theory

    [1] Stephen F. King , Christoph Luhn . Neutrino Mass and Mixing with Discrete Symmetry . Prog. Phys. 76 056201 , 2013
    [2] Hajime Ishimori , Tatsuo Kobayashi , Hiroshi Ohki, Hiroshi Okada ,Yusuke Shimizu and Morimitsu Tanimoto .Non-Abelian Discrete Symmetries in Particle Physics,Prog.Theor.Phys.Suppl.183:1-163 ,2010
    [3] P. F. HARRISON, W. G. SCOTT. STATUS OF TRI/BI-MAXIMAL
    NEUTRINO MIXING hep-ph/0402006
    [4] James Barry, Werner Rodejohann, and He Zhang . Light Sterile Neutrinos: Models and Phenomenology . JHEP 1107:091 ,2011.
    [5] Mizue Honda, and Morimitsu Tanimoto . Deviation from Tri-Bimaximal Neutrino Mixing in A4 Flavor Symmetry. Progress of Theoretical Physics, Vol. 119, No. 4, April 2008
    [6] Guido Altarelli, Ferruccio Feruglio. Tri-Bimaximal Neutrino Mixing from Discrete Symmetry in Extra Dimensions.CERN-PH-TH/2005-067

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