Alferink, Bram (2024) Color-Kinematics Duality of Heavy Scalars Coupled to Gluons and Higher Derivative Corrections. Master's Thesis / Essay, Physics.
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Abstract
The duality between color and kinematics have shed new light on the structures of gauge theories and gravity in the recent decades. Modern amplitude methods involving the amplitude bootstrap have made a large impact on this. There are still many open questions regarding the how and why of the structures which are being studied by considering different theories. The aim of this thesis is to study the duality of massive scalars coupled to gluons, particularly for the large mass limit, utilizing the framework of modern scattering amplitude methods. The approach is to construct and constrain an ansatz based on physical principles to derive the scattering amplitudes and learn about the structures of the theories. In addition, extensions of such theories are studied in the form of higher derivative corrections. This is motivated by the infinite tower derivatives necessary for extended Yang-Mills theory to be consistent with the color kinematics duality. The thesis successfully showcases how to construct amplitudes involving massive scalars and their large mass limit up to five point using the bootstrap approach. Whether the massive scalars coupled to gluons have a structure such as the infinite tower of derivatives seen for gluons is inconclusive. In a future work, this could be further investigated by extending the methods used in this thesis to at least six point amplitudes.
| Item Type: | Thesis (Master's Thesis / Essay) |
|---|---|
| Supervisor name: | Roest, D. and Bergshoeff, E.A. |
| Degree programme: | Physics |
| Thesis type: | Master's Thesis / Essay |
| Language: | English |
| Date Deposited: | 13 Dec 2024 07:52 |
| Last Modified: | 13 Dec 2024 07:52 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/34494 |
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