On the Flavor Problem in Strongly Coupled Theories - THEP Mainz

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178 Appendix A. Generating Parameter Points Fraction of total dataset 0.20 0.15 0.10 0.05 0.00 �0.8 �0.7 �0.6 �0.5 �0.4 �0.3 �0.2 Localization Fraction of total dataset 0.12 0.10 0.08 0.06 0.04 0.02 0.00 cd cs cb Fraction of total dataset 0.14 0.12 0.10 0.08 0.06 0.04 0.02 �0.5 0.0 0.5 1.0 1.5 2.0 Localization 0.00 �0.8 �0.6 �0.4 Localization �0.2 0.0 Figure A.1: Distributions of the quark localization parameters for the dataset used in throughout the thesis. with Xi = (mu, mc, mt, md, ms, mb, A, λ, ρ, η), again compared to experimental values, that must fulfill χ 2 < 10, which corresponds to the degrees of freedom here. Reference Points In the last chapter, three reference points have been chosen to illustrate the results. The localization parameters of the top singlet and third generation doublet are given in Table 4.1, and the full set of parameters, which specify these reference points completely are compiled in the following. Our first parameter point is specified by the cu cc ct cQ 1 cQ 2 cQ 3
following bulk mass parameters 1 cQ1 cu1 cd1 = −0.632 , cQ2 = −0.581 , cQ3 = −0.459 , = −0.667 , cu2 = −0.543 , cu3 = +0.108 , = −0.617 , cd2 = −0.625 , cd3 = −0.581 , and Yukawa matrices ⎛ 1.798 − 0.629 i − 0.981 + 0.343 i ⎞ −0.555 − 0.780 i Y u = ⎝ 0.326 + 0.023 i − 1.468 − 1.898 i −0.409 − 1.351 i ⎠ , 0.494 − 1.834 i 0.300 − 0.416 i −1.128 + 2.220 i ⎛ 0.330 − 0.330 i 0.273 + 2.626 i ⎞ 0.669 + 0.255 i Y d = ⎝ −0.647 + 0.124 i − 0.021 − 2.913 i −0.221 − 0.045 i ⎠ . 1.223 − 1.134 i − 0.019 − 0.030 i 0.318 − 2.092 i The second parameter point is given by and cQ1 ⎛ cu1 Y u = ⎝ ⎛ Y d = ⎝ cd1 = −0.651 , cQ2 = −0.586 , cQ3 = −0.469 , = −0.666 , cu2 = −0.521 , cu3 = +0.501 , = −0.644 , cd2 = −0.618 , cd3 = −0.563 , −0.495 − 0.151 i 0.471 − 0.208 i 1.850 − 2.155 i 0.032 − 1.198 i − 2.280 + 0.216 i 1.285 + 0.756 i 0.571 + 0.842 i − 1.031 + 0.223 i 2.131 − 0.343 i −1.003 − 0.146 i − 1.677 + 1.677 i 1.249 + 1.812 i 0.165 − 0.762 i − 2.736 − 0.514 i 0.338 − 0.039 i 0.971 + 1.203 i 0.454 + 0.532 i 0.202 + 1.370 i Finally, our third parameter point features and ⎛ Y u = ⎝ ⎛ Y d = ⎝ cQ1 cu1 cd1 = −0.652 , cQ2 = −0.563 , cQ3 = −0.486 , = −0.655 , cu2 = −0.497 , cu3 = +0.999 , = −0.639 , cd2 = −0.612 , cd3 = −0.578 , 0.100 + 1.586 i − 0.024 + 0.772 i 0.956 + 1.828 i 0.228 + 0.835 i − 0.018 + 0.145 i −0.969 + 1.064 i −0.101 − 0.060 i − 0.116 − 0.238 i −0.223 + 2.312 i 0.232 + 2.313 i 0.597 − 1.654 i −0.219 + 1.182 i 0.661 − 2.200 i − 0.765 − 0.815 i −1.270 + 1.060 i −1.021 + 1.220 i − 0.066 + 0.097 i 2.497 + 1.067 i 1 Here and below, results are given to at least three significant digits. ⎞ ⎠ , ⎞ ⎠ . ⎞ ⎠ , ⎞ ⎠ . 179
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On the Flavor Problem in Strongly C
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UNIVERSITY OF MAINZ ABSTRACT THEORE
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Contents Acknowledgements vii Prefa
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Acknowledgements First and foremost
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x One of the most fascinating insig
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2 Chapter 1. Introduction: Problems
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10 Chapter 1. Introduction: Problem
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36 Chapter 2. The Randall Sundrum M
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92 Chapter 3. Solving the Flavor Pr
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100 Chapter 3. Solving the Flavor P
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Page 138 and 139: 128 Chapter 3. Solving the Flavor P
Page 156 and 157: 146 Chapter 4. The Asymmetry in Top
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Page 190 and 191: 180 Appendix A. Generating Paramete
Page 192 and 193: 182 Appendix B. Neutral Meson Mixin
Page 194 and 195: 184 Appendix B. Neutral Meson Mixin
Page 197 and 198: C Input Parameters This appendix is
Page 199: Parameter Value ± Error Reference
Page 202 and 203: 192 Appendix D. Higgs Potential for
Page 204 and 205: 194 Bibliography [13] S. Dimopoulos
Page 206 and 207: 196 Bibliography [43] G. Nordström
Page 208 and 209: 198 Bibliography [72] K. S. Babu,
Page 210 and 211: 200 Bibliography [104] R. Contino a
Page 212 and 213: 202 Bibliography [133] M. Baak, M.
Page 214 and 215: 204 Bibliography [160] J. Charles,
Page 216 and 217: 206 Bibliography [185] C. Csaki, G.
Page 218 and 219: 208 Bibliography [213] E. Thomson e
Page 220: 210 Bibliography [239] V. Ahrens, A
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On the Flavor Problem in Strongly Coupled Theories - THEP Mainz

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