Scattering amplitudes in theories of compactified gravity
In this dissertation we discuss the properties of matrix elements describing the scattering of massive spin-2 particles in theories of compactified gravity. Our primary result is the calculation of 2-to-2 massive spin-2 Kaluza-Klein (KK) mode scattering matrix elements in the Randall-Sundrum 1 (RS1) model and the demonstration that those matrix elements grow no faster than $\\mathcal{O}(s)$ irrespective of the KK mode numbers and helicities considered. Because this calculation requires summing infinitely-many spin-2 mediated diagrams which each diverge like $\\mathcal{O}(s. {5})$, overall $\\mathcal{O}(s)$ growth is only attained through cancellations between these diagrams. This in turn requires intricate cancellations between infinitely-many KK mode masses and couplings. We derive these sum rules, including their generalization to fully inelastic processes. We also consider these matrix elements in the five-dimensional orbifolded torus (5DOT) and large $kr_{c}$ limits, investigate the impact of including only finitely-many diagrams in the calculation (as measured via truncation error), and calculate the five-dimensional strong coupling scale $\\Lambda_{\\pi} \\equiv M_{\ext{Pl}}\\, e. {-kr_{c}\\pi}$ via the four-dimensional scattering calculation.
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- In Collections
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Electronic Theses & Dissertations
- Copyright Status
- In Copyright
- Material Type
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Theses
- Authors
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Foren, Dennis
- Thesis Advisors
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Chivukula, R. S.
- Committee Members
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Simmons, Elizabeth H.
Bogner, Scott
Fisher, Wade
Yuan, Chien-Peng
- Date Published
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2020
- Program of Study
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Physics - Doctor of Philosophy
- Degree Level
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Doctoral
- Language
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English
- Pages
- x, 297 pages
- ISBN
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9798664758696
- Permalink
- https://doi.org/doi:10.25335/vv8s-st80