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Bounds on the Effective Theory of Gravity in Models of Particle Physics and Cosmology / by Michael Atkins
Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Springer Theses, Recognizing Outstanding Ph.D. Research | SpringerLink BücherPublisher: Cham ; Heidelberg ; New York ; Dordrecht ; London : Springer, 2014Description: Online-Ressource (XII, 100 p. 11 illus., 2 illus. in color, online resource)ISBN:- 9783319063676
- 530.1
- QC178 QC173.5-173.65
- QC178
- QC173.5-173.65
Contents:
Summary: 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 gravityPPN: PPN: 165796258XPackage identifier: Produktsigel: ZDB-2-PHA
Supervisor's Foreword; Abstract; Acknowledgments; Contents; 1 Introduction; 1.1 Effective Theory of Gravity; 1.2 Unitarity; 1.2.1 Unitarity of a Superposition of States; 1.2.2 Example: Unitarity of WW Scattering; References; 2 Unitarity of Gravity Coupled to Models of Particle Physics; 2.1 Unitarity of Linearised General Relativity; 2.1.1 j=2 Partial Wave Amplitude; 2.1.2 j = 0 Partial Wave Amplitude; 2.2 Unitarity of Models of Particle Physics; 2.3 Running of the Planck Mass and Renormalisation Group Improved Unitarity Bound; 2.3.1 Model with Large Number of Fields; References
3 Unitarity of Models with Extra Dimensions3.1 Extra Dimensions and Kaluza-Klein Modes; 3.1.1 Extra Dimensional Models as Effective Theories with a Low Cutoff; 3.1.2 Kaluza-Klein Modes; 3.1.3 Partial Wave Amplitude for KK Graviton Exchange; 3.1.4 Width of KK Gravitons; 3.2 Unitarity of KK Graviton Resonances; 3.2.1 Sum of Breit-Wigner Resonances; 3.2.2 Beyond the Breit-Wigner Approximation; 3.3 Unitarity in the ADD Model; 3.3.1 Introduction to the ADD Model; 3.3.2 Unitarity in the ADD Model; 3.3.3 KK Sum and Unitarity in the Zero Width Approximation
3.3.4 KK Sum and Unitarity Including Breit-Wigner Width3.3.5 Summary of the Unitarity Bounds; 3.4 Unitarity in the Randall-Sundrum Model; 3.4.1 Introduction to the Randall-Sundrum Model; 3.4.2 Unitarity from Graviton Exchange; 3.4.3 The Radion and Unitarity; 3.5 Unitarity in the Linear Dilaton Model; 3.5.1 Introduction to the Linear Dilaton Model; 3.5.2 Unitarity from Graviton Exchange; 3.5.3 The Radion and Dilaton Modes and the Associated Unitarity Bounds; 3.5.4 Higgs-Radion Mixing and the Associated Unitarity Bounds; References; 4 Higgs Inflation
4.1 Inflation and the Higgs Boson as the Inflaton4.2 Unitarity of Higgs inflation; 4.2.1 Frame Dependence; 4.2.2 Background Dependence; 4.2.3 Unitarising Higgs Inflation; 4.3 Asymptotic Safety and Higgs Inflation; 4.4 Unitarity of New Higgs Inflation; References; 5 Bound on the Non-minimal Coupling of the Higgs Boson to Gravity; 5.1 The Decoupling Effect; 5.2 Higgs Boson Production and Decay; 5.3 Effects of a Large Non-minimal Coupling on Missing Energy and the Higgs Mass; 5.3.1 Comment on a Recent Publication; References; 6 Conclusions; Reference
Appendix APolarisations of External ParticlesAppendix BWigner d-Functions; Appendix CIntegrals; Appendix DTransforming Between Einsteinand Jordan Frames; Appendix EFeynman Rules
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