An Eight Loop Amplitude via Antipodal Duality

Autor:	Dixon, Lance J., Liu, Yu-Ting
Rok vydání:	2023
Předmět:	High Energy Physics - Theory High Energy Physics - Phenomenology
Druh dokumentu:	Working Paper
Popis:	We compute the six-particle maximally-helicity-violating (MHV) amplitude in planar ${\cal N}=4$ super-Yang-Mills theory at eight loops, using antipodal duality and the recently computed eight-loop three-point form factor for the chiral stress energy tensor multiplet. Antipodal duality maps the form factor symbol to the amplitude symbol on a two-dimensional parity-preserving surface in the three-dimensional amplitude kinematics. There are remarkably few ambiguities in lifting from two to three dimensions, nor in promoting the symbol to a function. The amplitude passes many tests, including near-collinear, multi-Regge, factorization, self-crossing and origin limits. These checks also constitute a validation of antipodal duality at eight loops. Comment: 50 pages, 3 figures, 6 tables, 8 loops
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2308.08199 Zobrazit plný text záznamu View this record from Arxiv