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dc.contributor.authorFerro, Livia
dc.contributor.authorŁukowski, Tomasz
dc.date.accessioned2023-05-24T09:30:02Z
dc.date.available2023-05-24T09:30:02Z
dc.date.issued2023-05-22
dc.identifier.citationFerro , L & Łukowski , T 2023 , ' The Loop Momentum Amplituhedron ' , Journal of High Energy Physics (JHEP) , vol. 2023 , no. 5 , 183 . https://doi.org/10.1007/jhep05(2023)183
dc.identifier.issn1126-6708
dc.identifier.otherArXiv: http://arxiv.org/abs/2210.01127v1
dc.identifier.otherJisc: 1099813
dc.identifier.otherpublisher-id: jhep05(2023)183
dc.identifier.othermanuscript: 20934
dc.identifier.otherarxiv: 2210.01127
dc.identifier.otherORCID: /0000-0002-4159-3573/work/135802711
dc.identifier.otherORCID: /0000-0001-9933-0584/work/135802712
dc.identifier.urihttp://hdl.handle.net/2299/26359
dc.description© 2023 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), https://creativecommons.org/licenses/by/4.0/
dc.description.abstractIn this paper we focus on scattering amplitudes in maximally supersymmetric Yang-Mills theory and define a long sought-after geometry, the loop momentum amplituhedron, which we conjecture to encode tree and (the integrands of) loop amplitudes in spinor helicity variables. Motivated by the structure of amplitude singularities, we define an extended positive space, which enhances the Grassmannian space featuring at tree level, and a map which associates to each of its points tree-level kinematic variables and loop momenta. The image of this map is the loop momentum amplituhedron. Importantly, our formulation provides a global definition of the loop momenta. We conjecture that for all multiplicities and helicity sectors, there exists a canonical logarithmic differential form defined on this space, and provide its explicit form in a few examples.en
dc.format.extent17
dc.format.extent506918
dc.format.extent366637
dc.language.isoeng
dc.relation.ispartofJournal of High Energy Physics (JHEP)
dc.subjectScattering Amplitudes
dc.subjectSupersymmetric Gauge Theory
dc.subjectNuclear and High Energy Physics
dc.titleThe Loop Momentum Amplituhedronen
dc.contributor.institutionDepartment of Physics, Astronomy and Mathematics
dc.contributor.institutionSchool of Physics, Engineering & Computer Science
dc.contributor.institutionMathematics and Theoretical Physics
dc.contributor.institutionDepartment of Engineering and Technology
dc.description.statusPeer reviewed
dc.identifier.urlhttp://www.scopus.com/inward/record.url?scp=85160103707&partnerID=8YFLogxK
rioxxterms.versionofrecord10.1007/jhep05(2023)183
rioxxterms.typeJournal Article/Review
herts.preservation.rarelyaccessedtrue


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