|
|
1 | (14) |
|
1.1 Effective Theory of Gravity |
|
|
3 | (3) |
|
|
6 | (9) |
|
1.2.1 Unitarity of a Superposition of States |
|
|
8 | (1) |
|
1.2.2 Example: Unitarity of WW Scattering |
|
|
9 | (3) |
|
|
12 | (3) |
|
2 Unitarity of Gravity Coupled to Models of Particle Physics |
|
|
15 | (10) |
|
2.1 Unitarity of Linearised General Relativity |
|
|
15 | (2) |
|
2.1.1 j = 2 Partial Wave Amplitude |
|
|
16 | (1) |
|
2.1.2 j = 0 Partial Wave Amplitude |
|
|
17 | (1) |
|
2.2 Unitarity of Models of Particle Physics |
|
|
17 | (1) |
|
2.3 Running of the Planck Mass and Renormalisation Group Improved Unitarity Bound |
|
|
18 | (7) |
|
2.3.1 Model with Large Number of Fields |
|
|
22 | (1) |
|
|
23 | (2) |
|
3 Unitarity of Models with Extra Dimensions |
|
|
25 | (40) |
|
3.1 Extra Dimensions and Kaluza-Klein Modes |
|
|
25 | (7) |
|
3.1.1 Extra Dimensional Models as Effective Theories with a Low Cutoff |
|
|
26 | (1) |
|
|
27 | (4) |
|
3.1.3 Partial Wave Amplitude for KK Graviton Exchange |
|
|
31 | (1) |
|
3.1.4 Width of KK Gravitons |
|
|
32 | (1) |
|
3.2 Unitarity of KK Graviton Resonances |
|
|
32 | (4) |
|
3.2.1 Sum of Breit-Wigner Resonances |
|
|
32 | (2) |
|
3.2.2 Beyond the Breit-Wigner Approximation |
|
|
34 | (2) |
|
3.3 Unitarity in the ADD Model |
|
|
36 | (10) |
|
3.3.1 Introduction to the ADD Model |
|
|
36 | (2) |
|
3.3.2 Unitarity in the ADD Model |
|
|
38 | (1) |
|
3.3.3 KK Sum and Unitarity in the Zero Width Approximation |
|
|
39 | (3) |
|
3.3.4 KK Sum and Unitarity Including Breit-Wigner Width |
|
|
42 | (2) |
|
3.3.5 Summary of the Unitarity Bounds |
|
|
44 | (2) |
|
3.4 Unitarity in the Randall-Sundrum Model |
|
|
46 | (6) |
|
3.4.1 Introduction to the Randall-Sundrum Model |
|
|
46 | (3) |
|
3.4.2 Unitarity from Graviton Exchange |
|
|
49 | (1) |
|
3.4.3 The Radion and Unitarity |
|
|
50 | (2) |
|
3.5 Unitarity in the Linear Dilaton Model |
|
|
52 | (13) |
|
3.5.1 Introduction to the Linear Dilaton Model |
|
|
52 | (2) |
|
3.5.2 Unitarity from Graviton Exchange |
|
|
54 | (1) |
|
3.5.3 The Radion and Dilaton Modes and the Associated Unitarity Bounds |
|
|
55 | (4) |
|
3.5.4 Higgs-Radion Mixing and the Associated Unitarity Bounds |
|
|
59 | (3) |
|
|
62 | (3) |
|
|
65 | (14) |
|
4.1 Inflation and the Higgs Boson as the Inflaton |
|
|
65 | (4) |
|
4.2 Unitarity of Higgs inflation |
|
|
69 | (4) |
|
|
70 | (1) |
|
4.2.2 Background Dependence |
|
|
71 | (1) |
|
4.2.3 Unitarising Higgs Inflation |
|
|
72 | (1) |
|
4.3 Asymptotic Safety and Higgs Inflation |
|
|
73 | (1) |
|
4.4 Unitarity of New Higgs Inflation |
|
|
74 | (5) |
|
|
76 | (3) |
|
5 Bound on the Non-minimal Coupling of the Higgs Boson to Gravity |
|
|
79 | (6) |
|
5.1 The Decoupling Effect |
|
|
79 | (2) |
|
5.2 Higgs Boson Production and Decay |
|
|
81 | (1) |
|
5.3 Effects of a Large Non-minimal Coupling on Missing Energy and the Higgs Mass |
|
|
82 | (3) |
|
5.3.1 Comment on a Recent Publication |
|
|
83 | (1) |
|
|
84 | (1) |
|
|
85 | (6) |
|
|
89 | (2) |
Appendix A Polarisations of External Particles |
|
91 | (2) |
Appendix B Wigner d-Functions |
|
93 | (2) |
Appendix C Integrals |
|
95 | (2) |
Appendix D Transforming Between Einstein and Jordan Frames |
|
97 | (2) |
Appendix E Feynman Rules |
|
99 | |