On the Flavor Problem in Strongly Coupled Theories - THEP Mainz

More documents

Recommendations

Info

126 Chapter 3. Solving the Flavor Problem in Strongly Coupled Theories � � Q Q � ² 5.5 5.0 4.5 4.0 3.5 3.0 2.5 � � Q Q � ² � 2 � Q Q 2.0 1.0 1.2 1.4 1.6 1.8 � Q Q Figure 3.8: Region in the ∆H − ∆ H † H plane which is excluded using numerical methods, shown in blue. These bounds depend on the global symmetry of the technicolor condensate (and become weaker for a larger symmetry group), which is assumed to be SU(2) in this plot. The red region in the upper left corner is the preferred region by flavor bounds on the ETC scale and a natural top mass. The green region shows the improvement assuming a global SU(3)D × SU(3)S symmetry. The dashed cross indicates the lowest possible value of ∆H ≡ ∆ ¯ QQ , while ∆ H † H ≡ ∆ ( ¯ QQ) 2 = 4, and the orange line depicts the large N limit ∆ H † H = 2∆H. then it appears, because the scalar sector needs to respect the enlarged global symmetry as well and this will lead to a weaker bound from the numerical analysis, which means the thick blue line in Figure 3.8 shifts up. This has not been implemented in the plot, because the fit function has not been given in the original paper, however compare [30, Fig. 4]. We can resume that the dual interpretation of the extended gauge sector proposed for RS models suggests that the associated suppression of the coefficients of mixed chirality operators can be achieved in a wider class of strongly coupled models. Experimentally, such a global symmetry would reveal itself either by the additional mesonic resonances or by the variety of scalars in the extended Higgs sector, which will be the subject of Section 3.6.
ρ − 3.6. The Extension of the Scalar Sector 127 K ∗0 K ∗+ K ∗− ρ 0 ω ϕ Figure 3.9: In QCD, the global SU(3)V symmetry leads to an octet of vector mesons, and a singlet corresponding to the U(1)B. In the same way, vector mesons of a strongly coupled extension of the SM could be realized which correspond to a global SU(3)D × SU(3)S and therefore do not lead to excessive contributions to ɛK. ¯K ∗0 3.6 The Extension of the Scalar Sector In order to implement Yukawa couplings on the IR brane, the Higgs sector of the extended RS model has to include color charged scalars, which saturate the quantum numbers of the bulk quarks under SU(3)D × SU(3)S Q ∼ (3, 1) , q c ∼ (1, 3) . (3.72) The same fields will also contribute to the axigluon KK masses by inducing IR BCs once they take on their vev. The most minimal extension of the scalar sector that allows for gauge invariant Yukawa couplings is to introduce an electroweak singlet with hypercharge Y = 0, but transforming as a bitriplet under SU(3)D × SU(3)S. This is analogue to the most popular extension of the scalar sector in four dimensional implementations of chiral color models [194]. In addition to the SM Higgs Lagrangian on the IR brane and the Yukawa couplings (3.59), this introduces the following terms, δ(|φ| − π) LS = rc � ��DµS Tr � †� � µ D S � � − V (S, H) . (3.73) Here, the trace is taken over the indices of the SU(3)D × SU(3)S generators, which by a slight abuse of language will collectively be called color indices hereafter. The potential V (S, H) is given in Appendix D because it is not important for the following discussion. It is a priori not necessary to confine S to the IR brane, but it would lead to chiral color breaking by a bulk mass instead of a BC if it was a bulk field, which would change the analysis in the Sections 3.4 and 3.5 considerably, because a broken gauge symmetry in the bulk will not correspond to a global symmetry in the dual theory. We will therefore always assume the whole scalar sector to be localized on the IR brane. ρ +
Page 1 and 2:
On the Flavor Problem in Strongly C
Page 3 and 4:
UNIVERSITY OF MAINZ ABSTRACT THEORE
Page 5 and 6:
Contents Acknowledgements vii Prefa
Page 7:
Acknowledgements First and foremost
Page 10 and 11:
x One of the most fascinating insig
Page 12 and 13:
2 Chapter 1. Introduction: Problems
Page 14 and 15:
Page 16 and 17:
Page 18 and 19:
Page 20 and 21:
10 Chapter 1. Introduction: Problem
Page 22 and 23:
Page 24 and 25:
Page 26 and 27:
Page 28 and 29:
Page 30 and 31:
Page 32 and 33:
Page 34 and 35:
Page 36 and 37:
Page 38 and 39:
Page 40 and 41:
Page 42 and 43:
Page 44 and 45:
Page 46 and 47:
36 Chapter 2. The Randall Sundrum M
Page 48 and 49:
Page 50 and 51:
Page 52 and 53:
Page 54 and 55:
Page 56 and 57:
Page 58 and 59:
Page 60 and 61:
Page 62 and 63:
Page 64 and 65:
Page 66 and 67:
Page 68 and 69:
Page 70 and 71:
Page 72 and 73:
Page 74 and 75:
Page 76 and 77:
Page 78 and 79:
Page 80 and 81:
Page 82 and 83:
Page 84 and 85:
Page 86 and 87: 76 Chapter 2. The Randall Sundrum M
Page 102 and 103: 92 Chapter 3. Solving the Flavor Pr
Page 110 and 111: 100 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
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
show all

On the Flavor Problem in Strongly Coupled Theories - THEP Mainz

Create successful ePaper yourself

Delete template?

Save as template?