A Mathematica based Version of the CKMfitter Package

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26 Chapter 4. A Mathematica based Version of the CKMfitter Package 4.7 Performance Tests The Mathematica based version of the CKMfitter package was created with the goal to achieve a significant fit time reduction compared to the original version. Since both are complex packages, which include also fit preparation and result processing, an objective comparison of the pure minimization routines is beyond the scope of this thesis. However, there is the possibility to compare the full analysis process using a test job, here the Standard Global CKM Fit (see Chapter 5). The conditions, for the comparison tests done in this work, are summarized in Table 4.5. Hardware/Software Test job CPU: Intel P III Analysis: SM global fit Frequency: 1266 MHz Scan: (¯ρ,¯η) plane Memory: 2048 MB RAM Granularity: 200 OS: Scientific Linux 3.0.3 fits per point: 2 Compiler: gnu f77 -O Table 4.5: Test conditions Figure 4.3 shows the results of the Standard Global CKM Fit and its single constraints in the (¯ρ,¯η) plane, produced by both versions of the CKMfitter package. The results presented numerically in Table 4.6 and graphically in Figure 4.3 are nearly identical. Parameter Original CKMfitter Mathematica based package A 0.2272 +0.0010 −0.0010 λ 0.812 +0.015 −0.015 ¯ρ 0.187 +0.025 −0.086 ¯η 0.333 +0.038 −0.017 J [10−5 ] 3.02 +0.36 −0.17 0.2272 +0.0010 −0.0010 0.813 +0.015 −0.015 0.187 +0.028 −0.086 0.333 +0.038 −0.017 3.02 +0.36 −0.18 Table 4.6: Numerical comparison of the Wolfenstein parameters A, λ, ¯ρ, ¯η and the Jarlskog invariant J. The errors are quoted as 1-CL=32 % ranges (1σ). Possible reasons for the very small discrepancies could be the usage of the different parametrizations of the Lattice QCD parameters, as explained in Section 5.1.12, the different coded interplation routines for the LUTs or rounding effects value from the determination of the central value.
4.7. Performance Tests 27 η η 0.7 0.6 0.5 0.4 0.3 0.2 excluded area has CL > 0.95 sin 2β Δm d ε K Δm s & Δm d α luded luded at at CL CL > > 0.95 0.95 sol. w/ cos 2β < 0 (excl. at CL > 0.95) 0.1 0 |Vub /Vcb | γ β -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 0.6 0.5 0.4 0.3 0.2 0.1 excluded area has CL > 0.95 γ sin2β εK Δmd γ α ρ Δms & Δmd ρ α C K M f i t t e r ICHEP 2006 α Vub/Vcb 0 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 εK sol. w/ cos2β < 0 (excl. at CL > 0.95) β CKM γ f i t t e r ICHEP 2006 Figure 4.3: Confidence level in the (¯ρ,¯η) plane for the Standard Global CKM Fit. The plots are produced with the original (top) and the Mathematica based (bottom) CKMfitter package. α γ
Page 1 and 2: A Mathematica based Version of the
Page 3: Kurzfassung Das CKMfitter Software-
Page 6 and 7: vi CONTENTS 6 New Physics Beyond th
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
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
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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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