Cluster functions and scattering amplitudes for six and seven points
Abstract
Scattering amplitudes in planar super-Yang-Mills 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 two-loop six- and seven-point 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 1029-8479
- 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. https://doi.org/10.1007/JHEP07(2017)016
Harrington, Thomas, and Spradlin, Marcus. Wed .
"Cluster functions and scattering amplitudes for six and seven points". United States. https://doi.org/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 super-Yang-Mills 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 two-loop six- and seven-point 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 = {Wed Jul 05 00:00:00 EDT 2017},
month = {Wed Jul 05 00:00:00 EDT 2017}
}
Web of Science
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Works referencing / citing this record:
Yangian invariants and cluster adjacency in $$ \mathcal{N} $$ = 4 Yang-Mills
journal, October 2019
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- Journal of High Energy Physics, Vol. 2019, Issue 10
The cosmic Galois group and extended Steinmann relations for planar N $$ \mathcal{N} $$ = 4 SYM amplitudes
text, January 2019
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The Cosmic Galois Group and Extended Steinmann Relations for Planar $\mathcal{N} = 4$ SYM Amplitudes
text, January 2019
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- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Boundaries of Amplituhedra and NMHV Symbol Alphabets at Two Loops
text, January 2017
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Cluster Algebras and the Subalgebra Constructibility of the Seven-Particle Remainder Function
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The Sklyanin Bracket and Cluster Adjacency at All Multiplicity
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The Cosmic Galois Group and Extended Steinmann Relations for Planar $\mathcal{N} = 4$ SYM Amplitudes
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- arXiv