On the Flavor Problem in Strongly Coupled Theories - THEP Mainz

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180 Appendix A. Generating Parameter Points = cuL = cdL , cu1 = cuR , and cd1 = cdR and similarly in the case of the second Here cQ1 and third quark generation.
B Neutral Meson Mixing Neutral mesons and antimesons are composite states of quarks with different flavor and zero electric charge, K ∼ (¯sd) , K ∼ (s ¯ d) , Bd ∼ ( ¯ bd) , Bd ∼ (b ¯ d) , Bs ∼ ( ¯ bs) , Bs ∼ (b¯s) , D ∼ (ūc) , D ∼ (u¯c) . (B.1) Apart from different flavor and antiflavor content, they share the same quantum numbers and therefore mix. By mixing one means that the mass eigenstates are not the same as the flavor eigenstates (B.1), but linear combinations thereof, |ML〉 = p |M〉 + q |M〉 , |MH〉 = p |M〉 − q |M〉 , (B.2) where |p| 2 + |q| 2 = 1 and the indices H and L indicate the heavy and light mass eigenstate respectively. Further, an initially produced pure meson or antimeson state will always oscillate with time into a superposition of both. Because this oscillation involves time scales ≫ 1/ΛQCD, it can be described by an effective Hamiltonian H, and a Schrödinger equation i ∂ ∂t � � M = H M � � M . (B.3) M This Hamiltonian can only be hermitian, if the Hilbert space consisting of M, M is complete. However, these (anti)meson states do not only oscillate, but will also decay into different final states, which is consequentially described by the non-hermitian component of H. One can write H = M − i Γ , (B.4) 2 so that the mass matrix M and the decay matrix Γ are hermitian and one can write � H11 � � H12 M11 = � M12 + i � Γ11 2 � Γ12 . (B.5) H21 H22 M ∗ 12 M22 Γ ∗ 12 Γ22 In this notation, mixing only means that these matrices have non-vanishing offdiagonal components, and one finds for the “mixing angles” in (B.2) the relation � �2 q = p M ∗ 12 − (i/2)Γ∗12 M12 − (i/2)Γ12 (B.6)
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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 140 and 141: 130 Chapter 3. Solving the Flavor P
Page 156 and 157: 146 Chapter 4. The Asymmetry in Top
Page 186 and 187: 176 Chapter 5. Conclusions describe
Page 188 and 189: 178 Appendix A. Generating Paramete
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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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