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dc.contributor.author
Caron-Huot, Simon
dc.contributor.author
Dixon, Lance J.
dc.contributor.author
Dulat, Falko
dc.contributor.author
Von Hippel, Matt
dc.contributor.author
McLeod, Andrew J.
dc.contributor.author
Papathanasiou, Georgios
dc.date.accessioned
2019-10-21T10:12:28Z
dc.date.available
2019-10-20T03:01:51Z
dc.date.available
2019-10-21T10:12:28Z
dc.date.issued
2019-09
dc.identifier.other
10.1007/JHEP09(2019)061
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/371743
dc.identifier.doi
10.3929/ethz-b-000371743
dc.description.abstract
We describe the minimal space of polylogarithmic functions that is required to express the six-particle amplitude in planar N = 4 super-Yang-Mills theory through six and seven loops, in the NMHV and MHV sectors respectively. This space respects a set of extended Steinmann relations that restrict the iterated discontinuity structure of the amplitude, as well as a cosmic Galois coaction principle that constrains the functions and the transcendental numbers that can appear in the amplitude at special kinematic points. To put the amplitude into this space, we must divide it by the BDS-like ansatz and by an additional zeta-valued constant ρ. For this normalization, we conjecture that the extended Steinmann relations and the coaction principle hold to all orders in the coupling. We describe an iterative algorithm for constructing the space of hexagon functions that respects both constraints. We highlight further simplifications that begin to occur in this space of functions at weight eight, and distill the implications of imposing the coaction principle to all orders. Finally, we explore the restricted spaces of transcendental functions and constants that appear in special kinematic configurations, which include polylogarithms involving square, cube, fourth and sixth roots of unity.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
Springer
en_US
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
dc.subject
Scattering Amplitudes
en_US
dc.subject
Supersymmetric Gauge Theory
en_US
dc.title
The cosmic Galois group and extended Steinmann relations for planar N = 4 SYM amplitudes
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution 4.0 International
dc.date.published
2019-09-09
ethz.journal.title
Journal of High Energy Physics
ethz.journal.volume
2019
en_US
ethz.journal.issue
9
en_US
ethz.pages.start
61
en_US
ethz.size
67 p.
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
Berlin
en_US
ethz.publication.status
published
en_US
ethz.date.deposited
2019-10-20T03:01:55Z
ethz.source
SCOPUS
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2019-10-21T10:12:42Z
ethz.rosetta.lastUpdated
2019-10-21T10:12:42Z
ethz.rosetta.exportRequired
true
ethz.rosetta.versionExported
true
ethz.COinS
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