Author:
Lippstreu Luke,Spradlin Marcus,Volovich Anastasia
Abstract
Abstract
We compute the leading (first-type Landau) singularities of a certain four-loop 7-point graph that is related to the 7-point “ziggurat” graph by the graphical moves familiar from equivalent circuit theory. We find perfect agreement with a subset of the “heptagon symbol alphabet” that has appeared in the context of planar $$ \mathcal{N} $$
N
= 4 super-Yang-Mills theory. The remaining heptagon symbol letters are found in its subleading Landau singularities, which we address in a companion paper.
Publisher
Springer Science and Business Media LLC
Reference39 articles.
1. N. Arkani-Hamed, L.J. Dixon, A.J. McLeod, M. Spradlin, J. Trnka and A. Volovich, Solving Scattering in $$ \mathcal{N} $$ = 4 Super-Yang-Mills Theory, arXiv:2207.10636 [INSPIRE].
2. A.B. Goncharov, M. Spradlin, C. Vergu and A. Volovich, Classical Polylogarithms for Amplitudes and Wilson Loops, Phys. Rev. Lett. 105 (2010) 151605 [arXiv:1006.5703] [INSPIRE].
3. J. Golden, A.B. Goncharov, M. Spradlin, C. Vergu and A. Volovich, Motivic Amplitudes and Cluster Coordinates, JHEP 01 (2014) 091 [arXiv:1305.1617] [INSPIRE].
4. S. Caron-Huot et al., The Steinmann Cluster Bootstrap for $$ \mathcal{N} $$ = 4 Super Yang-Mills Amplitudes, PoS CORFU2019 (2020) 003 [arXiv:2005.06735] [INSPIRE].
5. L.D. Landau, On analytic properties of vertex parts in quantum field theory, Nucl. Phys. 13 (1959) 181 [INSPIRE].