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Analytic Techniques for Calculating Two-Loop Yang-Mills Amplitudes / ADAM DALGLEISH

Swansea University Author: ADAM DALGLEISH

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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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Published: Swansea, Wales, UK 2023
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
Supervisor: Perkins, Warren B.
URI: https://cronfa.swan.ac.uk/Record/cronfa63485
first_indexed 2023-05-17T08:41:11Z
last_indexed 2024-11-15T18:01:41Z
id cronfa63485
recordtype RisThesis
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spelling 2023-09-28T15:40:37.6911532 v2 63485 2023-05-17 Analytic Techniques for Calculating Two-Loop Yang-Mills Amplitudes 4dcc2f94263a768acf91678b9868fe4b ADAM DALGLEISH ADAM DALGLEISH true false 2023-05-17 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. E-Thesis Swansea, Wales, UK Amplitude, Yang-Mills, gluon, loop 18 4 2023 2023-04-18 10.23889/SUthesis.63485 COLLEGE NANME COLLEGE CODE Swansea University Perkins, Warren B. Doctoral Ph.D STFC 2023-09-28T15:40:37.6911532 2023-05-17T09:33:15.9518032 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics ADAM DALGLEISH 1 63485__27490__64751336a4fe419d9167c64ebca71bac.pdf 2023_Dalgleish_AR.final.63485.pdf 2023-05-17T09:40:25.9298317 Output 1018111 application/pdf E-Thesis – open access true Copyright: The Author, Adam R. Dalgleish, 2023. Distributed under the terms of a Creative Commons Attribution 4.0 License (CC BY 4.0). true eng https://creativecommons.org/licenses/by/4.0/
title Analytic Techniques for Calculating Two-Loop Yang-Mills Amplitudes
spellingShingle Analytic Techniques for Calculating Two-Loop Yang-Mills Amplitudes
ADAM DALGLEISH
title_short Analytic Techniques for Calculating Two-Loop Yang-Mills Amplitudes
title_full Analytic Techniques for Calculating Two-Loop Yang-Mills Amplitudes
title_fullStr Analytic Techniques for Calculating Two-Loop Yang-Mills Amplitudes
title_full_unstemmed Analytic Techniques for Calculating Two-Loop Yang-Mills Amplitudes
title_sort Analytic Techniques for Calculating Two-Loop Yang-Mills Amplitudes
author_id_str_mv 4dcc2f94263a768acf91678b9868fe4b
author_id_fullname_str_mv 4dcc2f94263a768acf91678b9868fe4b_***_ADAM DALGLEISH
author ADAM DALGLEISH
author2 ADAM DALGLEISH
format E-Thesis
publishDate 2023
institution Swansea University
doi_str_mv 10.23889/SUthesis.63485
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 1
active_str 0
description 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.
published_date 2023-04-18T08:25:33Z
_version_ 1821665010202443776
score 11.047674

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