A Mathematica based Version of the CKMfitter Package

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20 Chapter 4. A Mathematica based Version of the CKMfitter Package Datacard specification Fit preparation Source library packages Load physical constants Read datacard Load theory packages Load numerical inputs Write χ 2 -function (minimirChi2.f ) Compile Run minimir Write Read Fit results (minimir.output) Plot results Export Plot and data file Figure 4.1: The fit process
4.4. The Minimization Routine 21 4.4 The Minimization Routine Since FORTRAN is more optimized for numerical calculations, a FORTRAN based minimization routine is used instead of a Mathematica intrinsic function. The main file is minimir.f, which calls a set of subroutines and functions from the files fit.f, dmnfg.f and specialfunctions.f. The minimized quantity χ 2 and its partial derivatives with respect to all fit parameters are located in the file minimirChi2.f, which is also linked to the executable minimir after the compilation process. The subroutine, which manages the minimization process is called POINTFIT. It sets the fit environment, e. g. the starting point and calls the real minimization subroutine DMNG, which proceeds the unconstrained minimization of the χ 2 -function using their exact analytic gradients. The subroutine DMNG was coded by David M. Gay using a quasi-Newton method and is publicly available at NetLib.org [23]. Further informations can be found in Ref. [24]. Non-standard FORTRAN functions and subroutines, which belong to the analytic part, e. g. contributions to the χ 2 -function, are the content of the file specialfunctions.f. Furthermore, it contains the function TABLEAU, which allows the usage of look-up tables (LUT) as input files, and the function DDILOG from the CERN Library Package [18] to calculate di-logarithmic functions. minimirChi2.f minimir.f minimir.input minimir.aux fit.f Compile minimir dmnfg.f specialfunctions.f minimir.output Figure 4.2: The minimization routine file system A schema of the file system of the FORTRAN based minimization routine is shown in Figure 4.4. The FORTRAN files are compiled and linked together to the executable minimir. The input information for the fit routine is provided by two files in ASCII format, which are created by the analysis notebook. The file minimir.input contains the numerical input of the fit variables and minimir.aux provides the fit options, e. g. the scan direction. The fit result is finally written to the file minimir.output, which is read from the analysis notebook.
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 =
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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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