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dc.contributor.authorDamgaard, David
dc.contributor.authorFerro, Livia
dc.contributor.authorLukowski, Tomasz
dc.contributor.authorMoerman, Robert
dc.date.accessioned2021-03-08T14:00:01Z
dc.date.available2021-03-08T14:00:01Z
dc.date.issued2021-02-03
dc.identifier.citationDamgaard , D , Ferro , L , Lukowski , T & Moerman , R 2021 , ' Momentum Amplituhedron meets Kinematic Associahedron ' , Journal of High Energy Physics (JHEP) , vol. 2021 , no. 2 , 41 . https://doi.org/10.1007/jhep02(2021)041
dc.identifier.issn1126-6708
dc.identifier.otherArXiv: http://arxiv.org/abs/2010.15858v1
dc.identifier.otherORCID: /0000-0002-4159-3573/work/90531154
dc.identifier.otherORCID: /0000-0001-9933-0584/work/90531156
dc.identifier.urihttp://hdl.handle.net/2299/24039
dc.description© The Author(s) 2021.This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited (https://creativecommons.org/licenses/by/4.0/).
dc.description.abstractIn this paper we study a relation between two positive geometries: the momen- tum amplituhedron, relevant for tree-level scattering amplitudes in N = 4 super Yang-Mills theory, and the kinematic associahedron, encoding tree-level amplitudes in bi-adjoint scalar φ 3 theory. We study the implications of restricting the latter to four spacetime dimensions and give a direct link between its canonical form and the canonical form for the momentum amplituhedron. After removing the little group scaling dependence of the gauge theory, we find that we can compare the resulting reduced forms with the pull-back of the associahedron form. In particular, the associahedron form is the sum over all helicity sectors of the reduced momentum amplituhedron forms. This relation highlights the common sin- gularity structure of the respective amplitudes; in particular, the factorization channels, corresponding to vanishing planar Mandelstam variables, are the same. Additionally, we also find a relation between these canonical forms directly on the kinematic space of the scalar theory when reduced to four spacetime dimensions by Gram determinant constraints. As a by-product of our work we provide a detailed analysis of the kinematic spaces relevant for the four-dimensional gauge and scalar theories, and provide direct links between them.en
dc.format.extent25
dc.format.extent421878
dc.language.isoeng
dc.relation.ispartofJournal of High Energy Physics (JHEP)
dc.subjecthep-th
dc.subjectScattering Amplitudes
dc.subjectSupersymmetric Gauge Theory
dc.subjectNuclear and High Energy Physics
dc.titleMomentum Amplituhedron meets Kinematic Associahedronen
dc.contributor.institutionMathematics and Theoretical Physics
dc.contributor.institutionSchool of Physics, Engineering & Computer Science
dc.contributor.institutionDepartment of Physics, Astronomy and Mathematics
dc.description.statusPeer reviewed
dc.identifier.urlhttp://www.scopus.com/inward/record.url?scp=85100503797&partnerID=8YFLogxK
rioxxterms.versionofrecord10.1007/jhep02(2021)041
rioxxterms.typeJournal Article/Review
herts.preservation.rarelyaccessedtrue


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