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Complex factorization and recursion for one-loop amplitudes

Sam Alston, David Dunbar Orcid Logo, Warren Perkins Orcid Logo

Physical Review D, Volume: 86, Issue: 8, Start page: 085022

Swansea University Authors: David Dunbar Orcid Logo, Warren Perkins Orcid Logo

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DOI (Published version): 10.1103/PhysRevD.86.085022

Abstract

We consider the factorisation of one-loop amplitudes at complex kinematic points. By determining the terms that are absent for real kinematics, we can construct a recursive ansatz for the purely rational pieces of one-loop amplitudes in massless theories. We illustrate this method by verifying the B...

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Published in: Physical Review D
ISSN: 1550-7998 1550-2368
Published: 2012
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URI: https://cronfa.swan.ac.uk/Record/cronfa13423
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first_indexed 2013-07-23T12:10:12Z
last_indexed 2018-02-09T04:44:09Z
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spelling 2015-07-13T15:55:56.4816473 v2 13423 2012-12-03 Complex factorization and recursion for one-loop amplitudes b1c3d2c841af9c37f7deba55f8b3bd0c 0000-0003-2433-1675 David Dunbar David Dunbar true false 4bcbb4b448d52d3d7290d5dcd804027e 0000-0002-4434-8178 Warren Perkins Warren Perkins true false 2012-12-03 SPH We consider the factorisation of one-loop amplitudes at complex kinematic points. By determining the terms that are absent for real kinematics, we can construct a recursive ansatz for the purely rational pieces of one-loop amplitudes in massless theories. We illustrate this method by verifying the Bern et.al. n-point ansatze for the single-minus one-loop amplitudes in Yang-Mills theory and by constructing the scalar contribution to the one-loop five graviton MHV scattering amplitude. Journal Article Physical Review D 86 8 085022 1550-7998 1550-2368 31 12 2012 2012-12-31 10.1103/PhysRevD.86.085022 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2015-07-13T15:55:56.4816473 2012-12-03T13:53:47.2014810 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Sam Alston 1 David Dunbar 0000-0003-2433-1675 2 Warren Perkins 0000-0002-4434-8178 3
title Complex factorization and recursion for one-loop amplitudes
spellingShingle Complex factorization and recursion for one-loop amplitudes
David Dunbar
Warren Perkins
title_short Complex factorization and recursion for one-loop amplitudes
title_full Complex factorization and recursion for one-loop amplitudes
title_fullStr Complex factorization and recursion for one-loop amplitudes
title_full_unstemmed Complex factorization and recursion for one-loop amplitudes
title_sort Complex factorization and recursion for one-loop amplitudes
author_id_str_mv b1c3d2c841af9c37f7deba55f8b3bd0c
4bcbb4b448d52d3d7290d5dcd804027e
author_id_fullname_str_mv b1c3d2c841af9c37f7deba55f8b3bd0c_***_David Dunbar
4bcbb4b448d52d3d7290d5dcd804027e_***_Warren Perkins
author David Dunbar
Warren Perkins
author2 Sam Alston
David Dunbar
Warren Perkins
format Journal article
container_title Physical Review D
container_volume 86
container_issue 8
container_start_page 085022
publishDate 2012
institution Swansea University
issn 1550-7998
1550-2368
doi_str_mv 10.1103/PhysRevD.86.085022
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 0
active_str 0
description We consider the factorisation of one-loop amplitudes at complex kinematic points. By determining the terms that are absent for real kinematics, we can construct a recursive ansatz for the purely rational pieces of one-loop amplitudes in massless theories. We illustrate this method by verifying the Bern et.al. n-point ansatze for the single-minus one-loop amplitudes in Yang-Mills theory and by constructing the scalar contribution to the one-loop five graviton MHV scattering amplitude.
published_date 2012-12-31T03:15:22Z
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score 11.016235

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