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Analytic Techniques for Calculating Two-Loop Yang-Mills Amplitudes / ADAM DALGLEISH
Swansea University Author: ADAM DALGLEISH
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PDF | E-Thesis – open access
Copyright: The Author, Adam R. Dalgleish, 2023. Distributed under the terms of a Creative Commons Attribution 4.0 License (CC BY 4.0).
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DOI (Published version): 10.23889/SUthesis.63485
Abstract
This thesis explores the use of analytic techniques for calculating pure Yang–Mills amplitudes. The main focus is on deriving two-loop amplitudes, representing the forefront of current efforts, using the methods of four-dimensional unitarity and augmented recursion. To this end, the two-loop all-plu...
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Swansea, Wales, UK
2023
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| Institution: | Swansea University |
| Degree level: | Doctoral |
| Degree name: | Ph.D |
| Supervisor: | Perkins, Warren B. |
| URI: | https://cronfa.swan.ac.uk/Record/cronfa63485 |
| Abstract: |
This thesis explores the use of analytic techniques for calculating pure Yang–Mills amplitudes. The main focus is on deriving two-loop amplitudes, representing the forefront of current efforts, using the methods of four-dimensional unitarity and augmented recursion. To this end, the two-loop all-plus helicity amplitudes are presented in full colour, for six and seven gluons. Results are analytic, compact expressions with manifest symmetries. A detailed discussion of augmented recursion is presented, including an algorithmic way to determine the required off-shell currents. Wider issues of the reduction of analytic results to simpler forms are also discussed, with various examples considered over one and two loops. |
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| Keywords: |
Amplitude, Yang-Mills, gluon, loop |
| College: |
Faculty of Science and Engineering |