在最小味破缺下之色Zee-Babu模型的輕子味破缺過程

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研究生：	劉嘯青 Liou, Siao-Cing
論文名稱：	在最小味破缺下之色Zee-Babu模型的輕子味破缺過程 Lepton Flavor Violating Processes in the Colored Zee-Babu Model with Minimal Flavor Violation
指導教授：	張維甫 Chang, We-Fu
口試委員:	林貴林 Lin, Guey-Lin 張敬民 Cheung, Kingman 李湘楠 Li, Hsiang-Nan 倪維斗 Ni, Wei-Tou 徐百嫻 Hsu, Pai-Hsien
學位類別：	博士 Doctor
系所名稱：	理學院 - 物理學系 Department of Physics
論文出版年：	2016
畢業學年度：	104
語文別：	英文
論文頁數：	140
中文關鍵詞：	標準模型、微中子質量、微中子震盪、色Zee-Babu模型、輕子味破缺、CP破缺
外文關鍵詞：	colored Zee-Babu model, leptoquark, diquark, lepton flavor violating processes
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我們探討色Zee-Babu模型的輕子味破缺過程，這個模型是在標準模型的框架下外加一個額外的leptoquark與一個額外的diquark。它可以給微中子質量雙圈圖的修正。在我們的工作中計算了leptoquark與diquark的衰變寬度；藉由假設diquark的湯川耦合常數在同一個數量級上以及已知diquark湯川耦合常數、leptoquark與diquark的三耦合常數、leptoquark與diquark的質量、以及微中子震盪的參數，可以導出近似的leptoquark湯耦合常數解；我們還討論了$\ell \to \ell' \gamma$分支比率、$Z \to \ell \ell'$分支比率與它的CP破缺參數、$\mu-e$轉變的分支比率。此外，我們也討論了這個模型對帶電輕子偶極矩的修正。最後在數值分析中假設同數量級的diquark湯川耦合常數以及根據最小味破缺所推論出leptoquark、右手帶電輕子、右手上夸克之間的耦合常數為零的前提下，藉由一種重新調整方法，我們預測了這個模型的以下物理量範圍：$\ell \to \ell' \gamma$分支比率、$Z \to \ell \ell'$分支比率與CP破缺參數最大值、$\mu-e$轉變的分支比率以及leptoquark衰變到帶電輕子的部分分支比率。

e investigate the lepton flavor violating processes in the colored Zee-Babu model \cite{CZBM}, which contains an extra leptoquark and an extra diquark in the standard model framework. The model has two-loop correction to the neutrino masses. In our work, the decay widths of leptoquark and diquark are calculated; by assuming that the diquark Yukawa is democratic,
%and minimal flavor violation is applied,
the Yukawa couplings of leptoquark relevant to the neutrino masses are derived approximately from the diquark Yukawa, the triple coupling, masses of leptoquark and diquark, and neutirno oscillation data; the lepton flavor violating processes $\ell \to \ell' \gamma$, $Z\to \bar{\ell} \ell'$ and its CP violation parameter, and $\mu-e$ conversion are discussed in their branching ratios. Moreover, the dipole moment correction from this model to charged leptons is discussed. In the numerical study, by using a rescaling method, the predicted regions for the branching ratios of $\ell \to \ell' \gamma$, $Z\to \bar{\ell} \ell'$, and $\mu-e$ conversion, maximum of the CP violation parameters in $Z\to \ell \ell'$, as well as the partial branching ratios for the decays of leqtoquark to a charged lepton and a up-type quark are found under the assumption: democratic diquark Yukawa and minimal flavor violation which leads the couplings between leptoquark, both right-handed charged leptons and up-type quarks to zeros.

Contents
Chinese Abstract iii 
Abstract v 
Acknowledgments vii 
Contents ix
I Brief Introduction to Neutrino 1
1 Neutrino Masses and Mixing Matrix 1 
1.1 NeutrinosintheStandardModelandBeyond ................... 1 
1.2 DiracandMajoranaMasses ............................. 3 
1.3 theNeutrinoMixingMatrixandMasses ...................... 6 
1.4 MassHierarchy,MixingAngles,andPhases .................... 8
2 Oscillation of Neutrinos 11 
2.1 OscillationinVacuum ................................ 12 
2.2 OscillationinMatter ................................. 17
3 Models for Non-Zero Neutrino Masses 21 
3.1 Tree-LevelInducedNeutrinoMass.......................... 22 
3.2 Loop-LevelInducedNeutrinoMass ......................... 26
II Lepton Flavor Violating Processes in the Colored Zee-Babu Model with Minimal Flavor Violation 31
4 Introduction: the Colored Zee-Babu Model 33
5 Neutrino Mass and Mixing in the CZBM 39 
5.1 NeutrinoMassinCZBM............................... 39 
5.2 ParametrizationonMixingMatrixandNeutrinoMasses . . . . . . . . . . . . . 41
6 Masses and Decays of Leptoquark and Diquark 45
7 Approximated Relations with YL, YS, and Neutrino Mass Matrix 49 
7.1 LeadingApproximation................................ 50 
7.2 NexttoLeadingApproximation........................... 53 
7.3 BriefSummary .................................... 58
8 Flavour Violating and Conserving Processes 59
8.1 Tree-level Four-Fermi Interaction Induced by Leptoquark and Diquark . . . . . . 61
8.2 l→l′γ......................................... 69
8.3 Z→ll′ ........................................ 72
8.4 μ−econversion.................................... 78
8.5 Dipolemomentofchargedleptons.......................... 81
9 Input Parameters and Experimental Constraints 85 
9.1 VariousExperimentalStatus............................. 85 
9.2 ParameterSetup ................................... 86
10 Numerical Study 89 
10.1 PatternsforYL .................................... 89 
10.2 LFVandConservingProcesses ........................... 91 
10.3 BranchingRatiosforLeptoquarkin∆→lq .................... 95
11 Conclusion 105
Appendix 109
A Decay Widths of Leptoquark and Diquark 109
B Integration and Approximation 113  ̄′
B.1 LoopfunctionsinZ→ll ..............................113 
B.2 Approximationstol→l′γ,Z→ll′,andμ−econversionprocesses . . . . . . . 117
C Higgs production and Decay at the LHC 127 
C.1 SignalStrengthforHiggsProductionandDecayinCZBM . . . . . . . . . . . . 134
Bibliography 137

                                

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