Cluster functions and scattering amplitudes for six and seven points
Abstract
Scattering amplitudes in planar superYangMills theory satisfy several basic physical and mathematical constraints, including physical constraints on their branch cut structure and various empirically discovered connections to the mathematics of cluster algebras. The power of the bootstrap program for amplitudes is inversely proportional to the size of the intersection between these physical and mathematical constraints: ideally we would like a list of constraints which determine scattering amplitudes uniquely. Here, we explore this intersection quantitatively for twoloop six and sevenpoint amplitudes by providing a complete taxonomy of the Gr(4, 6) and Gr(4, 7) cluster polylogarithm functions of [15] at weight 4.
 Authors:

 Brown Univ., Providence, RI (United States). Dept. of Physics
 Publication Date:
 Research Org.:
 Brown Univ., Providence, RI (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC)
 OSTI Identifier:
 1393149
 Grant/Contract Number:
 SC0010010
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 7; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; scattering amplitudes; supersymmetries gauge theory
Citation Formats
Harrington, Thomas, and Spradlin, Marcus. Cluster functions and scattering amplitudes for six and seven points. United States: N. p., 2017.
Web. doi:10.1007/JHEP07(2017)016.
Harrington, Thomas, & Spradlin, Marcus. Cluster functions and scattering amplitudes for six and seven points. United States. doi:10.1007/JHEP07(2017)016.
Harrington, Thomas, and Spradlin, Marcus. Wed .
"Cluster functions and scattering amplitudes for six and seven points". United States. doi:10.1007/JHEP07(2017)016. https://www.osti.gov/servlets/purl/1393149.
@article{osti_1393149,
title = {Cluster functions and scattering amplitudes for six and seven points},
author = {Harrington, Thomas and Spradlin, Marcus},
abstractNote = {Scattering amplitudes in planar superYangMills theory satisfy several basic physical and mathematical constraints, including physical constraints on their branch cut structure and various empirically discovered connections to the mathematics of cluster algebras. The power of the bootstrap program for amplitudes is inversely proportional to the size of the intersection between these physical and mathematical constraints: ideally we would like a list of constraints which determine scattering amplitudes uniquely. Here, we explore this intersection quantitatively for twoloop six and sevenpoint amplitudes by providing a complete taxonomy of the Gr(4, 6) and Gr(4, 7) cluster polylogarithm functions of [15] at weight 4.},
doi = {10.1007/JHEP07(2017)016},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2017,
place = {United States},
year = {2017},
month = {7}
}
Web of Science
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Works referencing / citing this record:
The cosmic Galois group and extended Steinmann relations for planar N$$ \mathcal{N} $$ = 4 SYM amplitudes
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 CaronHuot, Simon; Dixon, Lance J.; Dulat, Falko
 Journal of High Energy Physics, Vol. 2019, Issue 9
The cosmic Galois group and extended Steinmann relations for planar N $$ \mathcal{N} $$ = 4 SYM amplitudes
text, January 2019
 CaronHuot, Simon; Dixon, Lance J.; Dulat, Falko
 Deutsches ElektronenSynchrotron, DESY, Hamburg