A Mathematica based Version of the CKMfitter Package

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vi CONTENTS 6 New Physics Beyond the Standard Model 49 6.1 New Physics in B 0 - ¯ B 0 Oscillations . . . . . . . . . . . . . . . . . . . 49 6.2 Charged Higgs Contributions to Leptonic B ± Decays . . . . . . . . . 54 7 Conclusions and Perspectives 57 A The Inami-Lim Functions 59 B Additional Figures of New Physics in B 0 - ¯B 0 Oscillations 61 C Testjob 65 D Source Code 67 D.1 Tableau . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67 D.2 dTableauO2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68 D.3 LoadLUT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 E User Guide 71 E.1 Mathematica Terminology . . . . . . . . . . . . . . . . . . . . . . . . 71 E.2 Datacards . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 E.3 Input Types . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76 E.4 Theory Package Tutorial . . . . . . . . . . . . . . . . . . . . . . . . . 77 Bibliography 97 Danksagung 103 Erklärung 105
List of Figures 2.1 The rescaled Unitarity Triangle . . . . . . . . . . . . . . . . . . . . . 7 2.2 Box diagram contribution to K 0 - ¯ K 0 mixing . . . . . . . . . . . . . . 9 2.3 Box diagram contribution to B 0 - ¯ B 0 mixing . . . . . . . . . . . . . . 10 4.1 The fit process . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 4.2 The minimization routine file system . . . . . . . . . . . . . . . . . . 21 4.3 Comparison plots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 5.1 CL on the UT angles α and γ . . . . . . . . . . . . . . . . . . . . . . 31 5.2 Tree-level contributions to leptonic B + decays in the SM . . . . . . . 33 5.3 The Standard Global CKM Fit in the (¯ρ,¯η) plane . . . . . . . . . . . 40 5.4 CL on A, λ, ¯ρ, ¯η, J, α, β and γ . . . . . . . . . . . . . . . . . . . . . 41 5.5 CL on |Vub|incl and sin 2β . . . . . . . . . . . . . . . . . . . . . . . . 42 5.6 CL on B(B + → τ + ντ ) and B(B + → µ + νµ) . . . . . . . . . . . . . . . 43 5.7 CL in the (¯ρ,¯η) plane obtained from B(B + → τ + ντ ) and ∆md . . . . 43 5.8 SM fit results in the (¯ρ,¯η) plane . . . . . . . . . . . . . . . . . . . . . 45 5.9 CL on ASL including LO and NLO QCD corrections . . . . . . . . . 46 6.1 Constraints on NP from |Vud|, |Vus|, |Vub|, |Vcb|, ∆md, sin 2β . . . . . 50 6.2 Constraints on NP from |Vud|, |Vus|, |Vub|, |Vcb|, ∆md, sin 2β, cos 2β 51 6.3 Constraints on NP from |Vud|, |Vus|, |Vub|, |Vcb|, ∆md, sin 2β, cos 2β, γ 51 6.4 Constraints on NP from |Vud|, |Vus|, |Vub|, |Vcb|, ∆md, sin 2β, cos 2β, γ, α . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 6.5 Constraints on NP from |Vud|, |Vus|, |Vub|, |Vcb|, ∆md, sin 2β, cos 2β, γ, α, ASL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 6.6 CL on the NP parameters r 2 d and 2ϑd . . . . . . . . . . . . . . . . . 53 6.7 Tree-level contribution from charged Higgs bosons to B + → τ + ντ . . 54 6.8 Constraints on (tan β,m H +) from B(B + → τ + ντ ) . . . . . . . . . . . 55 B.1 Constraints on NP from |Vud|, |Vus|, |Vub|, |Vcb|, ∆md, cos 2β . . . . 61 B.2 Constraints on NP from |Vud|, |Vus|, |Vub|, |Vcb|, ∆md, α . . . . . . . 62 B.3 Constraints on NP from |Vud|, |Vus|, |Vub|, |Vcb|, ∆md, ASL . . . . . 62 B.4 Constraints on NP from |Vud|, |Vus|, |Vub|, |Vcb|, ∆md, sin 2β, cos 2β, α 63 B.5 Constraints on NP from |Vud|, |Vus|, |Vub|, |Vcb|, ∆md, ASL . . . . . 63 vii
Page 1 and 2: A Mathematica based Version of the
Page 3: Kurzfassung Das CKMfitter Software-
Page 8 and 9: viii LIST OF FIGURES B.6 Constraint
Page 10 and 11: x LIST OF TABLES
Page 12 and 13: 2 Chapter 1. Introduction Unfortuna
Page 14 and 15: 4 Chapter 2. Theory the bosons of t
Page 16 and 17: 6 Chapter 2. Theory VCKM is a compl
Page 18 and 19: 8 Chapter 2. Theory 2.4 Neutral Mes
Page 20 and 21: 10 Chapter 2. Theory b u,c,t d 0 B
Page 22 and 23: 12 Chapter 2. Theory CP violation i
Page 24 and 25: 14 Chapter 3. CKMfitter The quantit
Page 26 and 27: 16 Chapter 3. CKMfitter
Page 28 and 29: 18 Chapter 4. A Mathematica based V
Page 40 and 41: 30 Chapter 5. Probing the Standard
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46 Chapter 5. Probing the Standard
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48 Chapter 5. Probing the Standard
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50 Chapter 6. New Physics Beyond th
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58 Chapter 7. Conclusions and Persp
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60 Appendix A. The Inami-Lim Functi
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62 Appendix B. Additional Figures o
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64 Appendix B. Additional Figures o
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66 Appendix C. Testjob } globalMinS
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68 Appendix D. Source Code else k =
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70 Appendix D. Source Code do i = 1
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72 Appendix E. User Guide E.2 Datac
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74 Appendix E. User Guide scanMin T
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76 Appendix E. User Guide E.3 Input
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78 Appendix E. User Guide
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98 BIBLIOGRAPHY [12] L. Wolfenstein
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100 BIBLIOGRAPHY [43] A. G. Akeroyd
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102 BIBLIOGRAPHY [74] T. Inami and
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Erklärung Hiermit versichere ich,
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A Mathematica based Version of the CKMfitter Package

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