On the Flavor Problem in Strongly Coupled Theories - THEP Mainz

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138 Chapter 3. Solving the Flavor Problem in Strongly Coupled Theories gR b 0.11 0.10 0.09 0.08 99� CL 95� CL 68� CL 0.07 �0.426 �0.424 �0.422 �0.420 �0.418 �0.416 Figure 3.11: The plot shows regions of 68%, 95% and 99% probability in the g b L − gb R plane. The best fit value is denoted with a cross and the experimental value with a star. The red colored regions indicate the predicted values of a large set of parameter points for the custodially protected RS model with extended color gauge group in the bulk and relocalized fermions for tan β = 1/2 and θ = 45 ◦ . chirality Wilson coefficients are enhanced by renormalization group running from MKK to 2 GeV and from chirally enhanced matrix elements, which both yield significantly smaller factors if the Kaons are replaced by Bs mesons. The matrix elements are in this case evaluated at µ = mb and the chiral enhancement is negligible. Instead of (3.41) one finds thus � 〈B 0 �H s ∆S=2 eff,RS � gL b � � B¯ 0 s 〉 ∝ C RS 1 + � C RS � 1 + 7.4 C RS � 4 + CRS 5 2.55 � , (3.111) which tells us, that the coefficients are more or less equally important. In the extended model, the contributions to C4 and C5 from the KK gluon and axigluon cancel, which by itself will lead to an enhancement of C5 with respect to the custodially protected model. In addition, the coefficients C1 and ˜ C1 are enhanced by cos θ −2 and sin θ −2 respectively, which for values θ ≈ 45◦ are close to a factor of 2. Further, the IR shift of the cdi induced by the extended Higgs sector will result in an equivalent enhancement as in the case of K − ¯ K mixing. Regarding the branching ratios B � Bs → µ + µ −� and B � Bd → µ + µ −� discussed in Section 2.6 only slightly larger effects are expected, because they are mediated by electroweak gauge bosons and therefore only affected by the relocalization of the right-handed down quarks. From the equations (3.108), (3.34) and (3.37) one can
��Bs � Μ � Μ � � �10 �9 � 30 25 20 15 10 5 95 � excl. � LHCb 95 � CDF 0 0 2 4 6 8 10 12 14 ��Bd � Μ � Μ � � �10 �10 � 3.7. Flavor Observables and LHC Bounds 139 �� 0.6 0.4 0.2 0.0 95 � CL 68 � CL SU�3�S � SU�3�D tanΒ�0.5 � 0.2 �1.0 � 0.5 0.0 0.5 1.0 Figure 3.12: The red points indicate the predicted values of a large set of parameter points for the custodially protected RS model with extended color gauge group in the bulk and relocalized fermions for tan β = 1/2 and θ = 45 ◦ , in the B � Bs → µ + µ −� - B � Bd → µ + µ −� plane (left panel) and in the Sψφ −∆Γ/Γ plane (right panel). The SM predictions are indicated by black bars, and the and the yellow (gray) contours the experimentally preferred regions of 68% (95%) probability in the right panel. In the left panel, the black dashed lines denote the experimental upper limits as measured by LHCb at 95% CL, and the blue band shows the preferred region at 95% CL measured by CDF. find that to leading order in v2 /M 2 KK the effect of the relocalization amounts to an enhancement of CA ′ → p2 dCA ′, while CA remains unchanged. Scatterplots for the extended model with relocalized fermions for the reference values of tan β = 1/2 and θ = 45 ◦ , for the observables described in Section 2.6 and 2.6 are shown in Figure 3.12. One can see that slightly larger effects are possible, however the RS-GIM mechanism does still sufficiently suppress FCNCs in order to not alter the conclusions in the mentioned sections. Bounds from Direct Detection Besides agreement with the bounds from flavor observables, the masses of the new resonances must be below the constantly improving mass limits of the LHC experiments. This primarily concerns the KK excitations of the axigluon and the color octet scalars. Interestingly, both axigluons as well as color octet, electroweak doublet scalars are among the most weakly constrained new physics resonances. This can be understood by considering that the best exclusion limits from the LHC come from dijet analyses, which in return are strongest if the new resonance can be produced at tree level SΨΦ
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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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Page 156 and 157: 146 Chapter 4. The Asymmetry in Top
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Page 188 and 189: 178 Appendix A. Generating Paramete
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
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Parameter Value ± Error Reference
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192 Appendix D. Higgs Potential for
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194 Bibliography [13] S. Dimopoulos
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196 Bibliography [43] G. Nordström
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198 Bibliography [72] K. S. Babu,
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200 Bibliography [104] R. Contino a
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202 Bibliography [133] M. Baak, M.
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204 Bibliography [160] J. Charles,
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206 Bibliography [185] C. Csaki, G.
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208 Bibliography [213] E. Thomson e
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210 Bibliography [239] V. Ahrens, A
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On the Flavor Problem in Strongly Coupled Theories - THEP Mainz

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