A Mathematica based Version of the CKMfitter Package

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56 Chapter 6. New Physics Beyond the Standard Model H + → c¯s and H + → τ + ντ [72]. Another interesting constraint stems from ¯ B → Xsγ decays where a lower limit of m H + > 350 GeV/c 2 at 99 % CL [73] has been found.
Chapter 7 Conclusions and Perspectives This thesis is a contribution to the development of a Mathematica based version of the CKMfitter package. It had been introduced by Jérôme Charles to obtain a significant fit time reduction compared to the original FORTRAN based CKMfitter package. Using symbolic calculations during the fit preparation and an efficient FORTRAN based minimization routine, a gain in CPU time of more than a factor 100 has been achieved for the Standard Global CKM Fit. Related to the Standard Global CKM Fit, the theory of neutral meson oscillations has been implemented for the B 0 d , B0 s and K 0 systems as well as the theory predictions for the branching fraction of purely leptonic B-meson decays. More specifically, the following observables have been implemented: ∆md, ∆ms, ASL, |ɛK| and B(B + → l + νl). For the treatment of look-up-table input files, e. g. for ∆ms, B(B + → τ + ντ ) and the UT angles α and γ, FORTRAN based subroutines (TABLEAU, dTABLEAUO2, LoadLUT) have been coded. The interpolation of the look-up tables is performed by a Mathematica-based subroutine using cubic spline interpolation. The results of the Standard Global CKM Fit show a good agreement between SM predictions and recent data. The Wolfenstein parameters have been constraint at 68 % CL to: A = 0.813 +0.015 +0.0010 +0.028 +0.038 −0.015 , λ = 0.2272 −0.0010 , ¯ρ = 0.187 −0.086 , ¯η = 0.333 −0.017 , (7.1) and the Jarlskog invariant, which is related to the strength of CP violation in electroweak transitions is found to be: J = � 3.02 +0.36� −5 −0.18 · 10 . (7.2) 57
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A Mathematica based Version of the
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Kurzfassung Das CKMfitter Software-
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vi CONTENTS 6 New Physics Beyond th
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viii LIST OF FIGURES B.6 Constraint
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x LIST OF TABLES
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2 Chapter 1. Introduction Unfortuna
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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
Page 60 and 61: 50 Chapter 6. New Physics Beyond th
Page 68 and 69: 58 Chapter 7. Conclusions and Persp
Page 70 and 71: 60 Appendix A. The Inami-Lim Functi
Page 72 and 73: 62 Appendix B. Additional Figures o
Page 74 and 75: 64 Appendix B. Additional Figures o
Page 76 and 77: 66 Appendix C. Testjob } globalMinS
Page 78 and 79: 68 Appendix D. Source Code else k =
Page 80 and 81: 70 Appendix D. Source Code do i = 1
Page 82 and 83: 72 Appendix E. User Guide E.2 Datac
Page 84 and 85: 74 Appendix E. User Guide scanMin T
Page 86 and 87: 76 Appendix E. User Guide E.3 Input
Page 88 and 89: 78 Appendix E. User Guide
Page 108 and 109: 98 BIBLIOGRAPHY [12] L. Wolfenstein
Page 110 and 111: 100 BIBLIOGRAPHY [43] A. G. Akeroyd
Page 112 and 113: 102 BIBLIOGRAPHY [74] T. Inami and
Page 115: Erklärung Hiermit versichere ich,
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A Mathematica based Version of the CKMfitter Package

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