Back to Search Start Over

Lifting heptagon symbols to functions

Lifting heptagon symbols to functions

Authors :
Lance J. Dixon
Yu-Ting Liu
Source :
Journal of High Energy Physics, Vol 2020, Iss 10, Pp 1-45 (2020)
Publication Year :
2020
Publisher :
SpringerOpen, 2020.

Abstract

Abstract Seven-point amplitudes in planar N $$ \mathcal{N} $$ = 4 super-Yang-Mills theory have previously been constructed through four loops using the Steinmann cluster bootstrap, but only at the level of the symbol. We promote these symbols to actual functions, by specifying their first derivatives and boundary conditions on a particular two-dimensional surface. To do this, we impose branch-cut conditions and construct the entire heptagon function space through weight six. We plot the amplitudes on a few lines in the bulk Euclidean region, and explore the properties of the heptagon function space under the coaction associated with multiple polylogarithms.

Details

Language :
English
ISSN :
10298479
Volume :
2020
Issue :
10
Database :
Directory of Open Access Journals
Journal :
Journal of High Energy Physics
Publication Type :
Academic Journal
Accession number :
edsdoj.3b3e9eecca0e411cbe71be0312d34a91
Document Type :
article
Full Text :
https://doi.org/10.1007/JHEP10(2020)031