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E-raamat: Bounds on the Effective Theory of Gravity in Models of Particle Physics and Cosmology

  • Formaat: PDF+DRM
  • Sari: Springer Theses
  • Ilmumisaeg: 13-May-2014
  • Kirjastus: Springer International Publishing AG
  • Keel: eng
  • ISBN-13: 9783319063676
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  • Formaat: PDF+DRM
  • Sari: Springer Theses
  • Ilmumisaeg: 13-May-2014
  • Kirjastus: Springer International Publishing AG
  • Keel: eng
  • ISBN-13: 9783319063676

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The effective theory of quantum gravity coupled to models of particle physics is being probed by cutting edge experiments in both high energy physics (searches for extra dimensions) and cosmology (testing models of inflation). This thesis derives new bounds that may be placed on these models both theoretically and experimentally. In models of extra dimensions, the internal consistency of the theories at high energies are investigated via perturbative unitarity bounds. Similarly it is shown that recent models of Higgs inflation suffer from a breakdown of perturbative unitarity during the inflationary period. In addition, the thesis uses the latest LHC data to derive the first ever experimental bound on the size of the Higgs boson's non-minimal coupling to gravity.
1 Introduction
1(14)
1.1 Effective Theory of Gravity
3(3)
1.2 Unitarity
6(9)
1.2.1 Unitarity of a Superposition of States
8(1)
1.2.2 Example: Unitarity of WW Scattering
9(3)
References
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)
References
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)
3.1.2 Kaluza-Klein Modes
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)
References
62(3)
4 Higgs Inflation
65(14)
4.1 Inflation and the Higgs Boson as the Inflaton
65(4)
4.2 Unitarity of Higgs inflation
69(4)
4.2.1 Frame Dependence
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)
References
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)
References
84(1)
6 Conclusions
85(6)
Reference
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