Propagators, BCFW recursion and new scattering equations at one loop
dc.contributor.author | Farrow, JA | |
dc.contributor.author | Geyer, Y | |
dc.contributor.author | Lipstein, AE | |
dc.contributor.author | Monteiro, R | |
dc.contributor.author | Stark-Muchão, R | |
dc.date.accessioned | 2021-02-12T10:27:17Z | |
dc.date.available | 2021-02-12T10:27:17Z | |
dc.date.issued | 2020-10 | |
dc.identifier.other | 74 | |
dc.identifier.other | 74 | |
dc.identifier.uri | https://qmro.qmul.ac.uk/xmlui/handle/123456789/70302 | |
dc.description.abstract | We investigate how loop-level propagators arise from tree level via a forward-limit procedure in two modern approaches to scattering amplitudes, namely the BCFW recursion relations and the scattering equations formalism. In the first part of the paper, we revisit the BCFW construction of one-loop integrands in momentum space, using a convenient parametrisation of the D-dimensional loop momentum. We work out explicit examples with and without supersymmetry, and discuss the non-planar case in both gauge theory and gravity. In the second part of the paper, we study an alternative approach to one-loop integrands, where these are written as worldsheet formulas based on new one-loop scattering equations. These equations, which are inspired by BCFW, lead to standard Feynman-type propagators, instead of the ‘linear’-type loop-level propagators that first arose from the formalism of ambitwistor strings. We exploit the analogies between the two approaches, and present a proof of an all-multiplicity worldsheet formula using the BCFW recursion. | en_US |
dc.language | en | |
dc.publisher | Springer Science and Business Media LLC | en_US |
dc.relation.ispartof | Journal of High Energy Physics | |
dc.rights | This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. | |
dc.rights | Attribution 3.0 United States | * |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/us/ | * |
dc.title | Propagators, BCFW recursion and new scattering equations at one loop | en_US |
dc.type | Article | en_US |
dc.rights.holder | © 2020, The Author(s) | |
dc.identifier.doi | 10.1007/jhep10(2020)074 | |
pubs.issue | 10 | en_US |
pubs.notes | Not known | en_US |
pubs.publication-status | Published | en_US |
pubs.volume | 2020 | en_US |
rioxxterms.funder | Default funder | en_US |
rioxxterms.identifier.project | Default project | en_US |
qmul.funder | University Research Fellowship::Royal Society | en_US |
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Except where otherwise noted, this item's license is described as This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.