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Title: Cluster functions and scattering amplitudes for six and seven points

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [1]
  1. Brown Univ., Providence, RI (United States). Dept. of Physics
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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.

Research Organization:
Brown Univ., Providence, RI (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC0010010
OSTI ID:
1393149
Journal Information:
Journal of High Energy Physics (Online), Vol. 2017, Issue 7; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 12 works
Citation information provided by
Web of Science

References (24)

A cluster bootstrap for two-loop MHV amplitudes journal February 2015
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Analytic result for the two-loop six-point NMHV amplitude in $ \mathcal{N} = {4} $ super Yang-Mills theory journal January 2012
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Hedgehog bases for A n cluster polylogarithms and an application to six-point amplitudes journal November 2015
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The four-loop remainder function and multi-Regge behavior at NNLLA in planar $ \mathcal{N} $ = 4 super-Yang-Mills theory journal June 2014
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Cited By (7)

Yangian invariants and cluster adjacency in $$ \mathcal{N} $$ = 4 Yang-Mills journal October 2019
The cosmic Galois group and extended Steinmann relations for planar N $$ \mathcal{N} $$ = 4 SYM amplitudes text January 2019
The Cosmic Galois Group and Extended Steinmann Relations for Planar $\mathcal{N} = 4$ SYM Amplitudes text January 2019
Boundaries of Amplituhedra and NMHV Symbol Alphabets at Two Loops text January 2017
Cluster Algebras and the Subalgebra Constructibility of the Seven-Particle Remainder Function text January 2018
The Sklyanin Bracket and Cluster Adjacency at All Multiplicity text January 2019
The Cosmic Galois Group and Extended Steinmann Relations for Planar $\mathcal{N} = 4$ SYM Amplitudes text January 2019

Similar Records

A symbol of uniqueness: the cluster bootstrap for the 3-loop MHV heptagon
Journal Article · Mon Mar 16 00:00:00 EDT 2015 · Journal of High Energy Physics (Online) · OSTI ID:1393149
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Journal Article · Fri Nov 20 00:00:00 EST 2015 · Journal of High Energy Physics (Online) · OSTI ID:1393149
+1 more
A cluster bootstrap for two-loop MHV amplitudes
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Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
scattering amplitudes
supersymmetries gauge theory