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A canonical basis approach to unitarity calculations in Yang-Mills theories. / Edmund Warrick

Swansea University Author: Edmund Warrick

Abstract

A Canonical Basis m ethod is presented for computing the cut-constructible parts of loop amplitudes in massless Yang-Mills theory by generalised Unitarity. The method relies upon constructing a canonical basis of general cut solutions and constructing the amplitude by identifying the integral coeffi...

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Published: 2011
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
URI: https://cronfa.swan.ac.uk/Record/cronfa43123
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last_indexed 2019-10-21T16:49:04Z
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spelling 2018-08-28T09:59:02.3544731 v2 43123 2018-08-02 A canonical basis approach to unitarity calculations in Yang-Mills theories. 533a7281a0d5847eb4c9810ebb84df6f NULL Edmund Warrick Edmund Warrick true true 2018-08-02 A Canonical Basis m ethod is presented for computing the cut-constructible parts of loop amplitudes in massless Yang-Mills theory by generalised Unitarity. The method relies upon constructing a canonical basis of general cut solutions and constructing the amplitude by identifying the integral coefficients with elements of the canonical basis, thereby avoiding repeated integration of similar integrand structures. The method provides closed, rational, fully analytic expressions for the integral coefficients. As an application the m ethod is applied to compute the previously unknown NMHV partial amplitudes of the 7-gluon Af = 1 chiral multiplet loop, and is then extended to rederive the cut-constructible terms of the NMHV 6-gluon partial amplitudes with a complex scalar loop. E-Thesis Loop amplitudes 31 12 2011 2011-12-31 COLLEGE NANME Physics COLLEGE CODE Swansea University Doctoral Ph.D 2018-08-28T09:59:02.3544731 2018-08-02T16:24:31.3346113 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Edmund Warrick NULL 1 0043123-02082018162548.pdf 10821515.pdf 2018-08-02T16:25:48.3830000 Output 5113384 application/pdf E-Thesis true 2018-08-02T16:25:48.3830000 false
title A canonical basis approach to unitarity calculations in Yang-Mills theories.
spellingShingle A canonical basis approach to unitarity calculations in Yang-Mills theories.
Edmund Warrick
title_short A canonical basis approach to unitarity calculations in Yang-Mills theories.
title_full A canonical basis approach to unitarity calculations in Yang-Mills theories.
title_fullStr A canonical basis approach to unitarity calculations in Yang-Mills theories.
title_full_unstemmed A canonical basis approach to unitarity calculations in Yang-Mills theories.
title_sort A canonical basis approach to unitarity calculations in Yang-Mills theories.
author_id_str_mv 533a7281a0d5847eb4c9810ebb84df6f
author_id_fullname_str_mv 533a7281a0d5847eb4c9810ebb84df6f_***_Edmund Warrick
author Edmund Warrick
author2 Edmund Warrick
format E-Thesis
publishDate 2011
institution Swansea University
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 A Canonical Basis m ethod is presented for computing the cut-constructible parts of loop amplitudes in massless Yang-Mills theory by generalised Unitarity. The method relies upon constructing a canonical basis of general cut solutions and constructing the amplitude by identifying the integral coefficients with elements of the canonical basis, thereby avoiding repeated integration of similar integrand structures. The method provides closed, rational, fully analytic expressions for the integral coefficients. As an application the m ethod is applied to compute the previously unknown NMHV partial amplitudes of the 7-gluon Af = 1 chiral multiplet loop, and is then extended to rederive the cut-constructible terms of the NMHV 6-gluon partial amplitudes with a complex scalar loop.
published_date 2011-12-31T03:54:18Z
_version_ 1763752708026662912
score 11.016258

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