Back to Search
Start Over
Lifting heptagon symbols to functions
Lifting heptagon symbols to functions
- 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