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New Techniques for High Orders in Scattering Amplitudes / JOSEPH STRONG

Swansea University Author: JOSEPH STRONG

DOI (Published version): 10.23889/SUthesis.61186

Abstract

This thesis uses four-dimensional unitarity and augmented recursion to calculate a selection of Yang-Mills amplitudes. This selection consists of the full-colour, two-loop, all-plus helicity amplitudes for five- and six-points; a conjecture for an n-point sub-subleading in colour two-loop amplitude;...

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Published: Swansea 2022
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
Supervisor: Perkins, Warren
URI: https://cronfa.swan.ac.uk/Record/cronfa61186
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first_indexed 2022-09-12T13:10:52Z
last_indexed 2023-01-13T19:21:48Z
id cronfa61186
recordtype RisThesis
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spelling 2022-09-12T14:25:51.2692814 v2 61186 2022-09-12 New Techniques for High Orders in Scattering Amplitudes ab9f3fefa8dad258d1232b991f2cce4e JOSEPH STRONG JOSEPH STRONG true false 2022-09-12 This thesis uses four-dimensional unitarity and augmented recursion to calculate a selection of Yang-Mills amplitudes. This selection consists of the full-colour, two-loop, all-plus helicity amplitudes for five- and six-points; a conjecture for an n-point sub-subleading in colour two-loop amplitude; calculation of the cut-constructible piece of the full-colour, two-loop, all-plus helicity n-point amplitude. A new technique for calculating the cut constructible part of the leading in colour two-loop, five-point, single-minus helicity amplitude is presented. The correct infrared divergent piece of this single-minus amplitude was calculated, as well as the correct transcendental two pieces at finite order. Logarithms containing Mandelstam variables including only positive helicity legs were unable to be correctly calculated, but the calculation of this final amplitude uncovered many new relations involving generalised hypergeometric functions such as the Appell functions. E-Thesis Swansea 7 9 2022 2022-09-07 10.23889/SUthesis.61186 ORCiD identifier: https://orcid.org/0000-0003-3711-1479 COLLEGE NANME COLLEGE CODE Swansea University Perkins, Warren Doctoral Ph.D STFC (ST/S505778/1) 2022-09-12T14:25:51.2692814 2022-09-12T14:06:29.8350082 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics JOSEPH STRONG 1 61186__25118__dc0233f3a45d49caaea8246a393e5238.pdf Strong_Joseph_PhD_Thesis_Final_Redacted_Signature.pdf 2022-09-12T14:21:36.6674304 Output 1717570 application/pdf E-Thesis – open access true Copyright: The author, Joseph Strong, 2022. true eng
title New Techniques for High Orders in Scattering Amplitudes
spellingShingle New Techniques for High Orders in Scattering Amplitudes
JOSEPH STRONG
title_short New Techniques for High Orders in Scattering Amplitudes
title_full New Techniques for High Orders in Scattering Amplitudes
title_fullStr New Techniques for High Orders in Scattering Amplitudes
title_full_unstemmed New Techniques for High Orders in Scattering Amplitudes
title_sort New Techniques for High Orders in Scattering Amplitudes
author_id_str_mv ab9f3fefa8dad258d1232b991f2cce4e
author_id_fullname_str_mv ab9f3fefa8dad258d1232b991f2cce4e_***_JOSEPH STRONG
author JOSEPH STRONG
author2 JOSEPH STRONG
format E-Thesis
publishDate 2022
institution Swansea University
doi_str_mv 10.23889/SUthesis.61186
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 uses four-dimensional unitarity and augmented recursion to calculate a selection of Yang-Mills amplitudes. This selection consists of the full-colour, two-loop, all-plus helicity amplitudes for five- and six-points; a conjecture for an n-point sub-subleading in colour two-loop amplitude; calculation of the cut-constructible piece of the full-colour, two-loop, all-plus helicity n-point amplitude. A new technique for calculating the cut constructible part of the leading in colour two-loop, five-point, single-minus helicity amplitude is presented. The correct infrared divergent piece of this single-minus amplitude was calculated, as well as the correct transcendental two pieces at finite order. Logarithms containing Mandelstam variables including only positive helicity legs were unable to be correctly calculated, but the calculation of this final amplitude uncovered many new relations involving generalised hypergeometric functions such as the Appell functions.
published_date 2022-09-07T04:19:51Z
_version_ 1763754315493670912
score 11.035349

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