A Mathematica based Version of the CKMfitter Package

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46 Chapter 5. Probing the Standard Model An important constraint on New Physics in B 0 - ¯ B 0 mixing comes from measurements of the semileptonic CP asymmetry ASL. Since it is not measured precisely enough to provide a significant constraint in (¯ρ,¯η) plane, the measurement of ASL is not included in the Standard Global CKM Fit. The prediction of ASL depends on short and long distance hadronic matrix elements, which need to be calculated from Lattice QCD. During this work, ASL has been implemented with LO and NLO QCD corrections. Figure 5.9 shows the confidence levels for the SM prediction of ASL, taking LO as well as NLO QCD corrections into account. They are compared with the results of the Standard Global CKM Fit, including ASL. Its input value is given in Table 5.1. 1 - CL 1 0.8 0.6 0.4 0.2 CKM f i t t e r ICHEP 2006 -3 × 10 0 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 × 10 -0 ASL LO -3 1 - CL 1 0.8 0.6 0.4 0.2 CKM f i t t e r ICHEP 2006 -3 × 10 0 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 × 10 -0 ASL NLO Figure 5.9: Confidence level on ASL from the SM prediction. The QCD corrections are used up to LO (left) and NLO (right). -3
5.2. Standard Model Fit Results 47 Observable central ± 1σ ± 2σ ± 3σ λ 0.2272 +0.0010 −0.0010 A 0.813 +0.015 −0.015 ¯ρ 0.187 +0.028 −0.086 ¯η 0.333 +0.038 −0.017 J [10 −5 ] 3.02 +0.36 −0.18 sin(2α) −0.25 +0.48 −0.15 sin(2α) (meas. not in fit) −0.28 +0.66 −0.17 sin(2β) 0.701 +0.022 −0.022 sin(2β) (meas. not in fit) 0.777 +0.114 −0.052 α (rad) 1.694 +0.082 −0.242 α (rad) (meas. not in fit) 1.713 +0.090 −0.339 α (rad) (direct meas.) 1.62 +0.18 −0.17 β (rad) 0.389 +0.016 −0.015 β (rad) (meas. not in fit) 0.452 +0.099 −0.046 β (rad) (direct meas.) 0.371 +0.018 −0.017 γ � δ (rad) 1.058 +0.244 −0.076 γ � δ (rad) (meas. not in fit) 1.060 +0.250 −0.079 γ � δ (rad) (direct meas.) 1.06 +0.67 −0.44 Ru Rt 0.382 +0.014 −0.015 0.878 +0.092 −0.030 ∆md (ps−1 ) (meas. not in fit) 0.359 +0.270 −0.077 ∆ms (ps−1 ) 17.37 +0.35 −0.23 ∆ms (ps−1 ) (meas. not in fit) 20.0 +7.0 −4.7 |ɛK| [10−3 ] (meas. not in fit) 2.34 +1.15 −0.73 B(B + → τ + νµ) [10−4 ] 1.06 +0.16 −0.16 B(B + → τ + νµ) [10−4 ] (meas. not in fit) 1.01 +0.16 −0.24 B(B + → µ + νµ) [10−7 ] (meas. not in fit) 4.01 +0.64 −0.95 +0.0020 −0.0020 +0.030 −0.030 +0.054 −0.119 +0.060 −0.034 +0.55 −0.35 +0.64 −0.29 +0.79 −0.32 +0.044 −0.045 +0.141 −0.093 +0.16 −0.33 +0.18 −0.41 +0.47 −0.28 +0.032 −0.031 +0.130 −0.075 +0.036 −0.034 +0.33 −0.15 +0.33 −0.15 +1.10 −0.70 +0.028 −0.029 +0.126 −0.059 +0.37 −0.10 +0.59 −0.40 +11.8 −7.2 +1.56 −0.90 +0.35 −0.34 +0.36 −0.36 +1.4 −1.4 +0.0030 −0.0031 +0.046 −0.045 +0.080 −0.143 +0.077 −0.051 +0.70 −0.51 +0.75 −0.43 +0.91 −0.45 +0.066 −0.067 +0.16 −0.14 +0.25 −0.39 +0.27 −0.48 +0.62 −0.36 +0.049 −0.045 +0.16 −0.10 +0.056 −0.051 +0.40 −0.23 +0.40 −0.23 +1.58 −0.92 +0.043 −0.043 +0.150 −0.089 +0.46 −0.13 +0.79 −0.57 +15.3 −8.6 +1.9 −1.1 +0.58 −0.45 +0.59 −0.44 +2.4 −1.8 Table 5.3: Fit results and errors using the Standard Global CKM Fit observables. For results marked with “meas. not in fit”, the measurement of the corresponding observable has not been included in the fit. The “1 − CL” ranges are defined as 32 % (1σ), 4.5 % (2σ) and 0.3 % (3σ).
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
Page 86 and 87: 76 Appendix E. User Guide E.3 Input
Page 88 and 89: 78 Appendix E. User Guide
Page 106 and 107:
96 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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