Introduces a boundary-residue incidence coalgebra on associahedral face posets that records nested factorization channels in planar scalar amplitudes and extends the idea to loop-level positive geometries.
On the Singularity Structure of Maximally Supersymmetric Scattering Amplitudes
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We present evidence that loop amplitudes in maximally supersymmetric $\mathcal{N}=4$ Yang-Mills (SYM) beyond the planar limit share some of the remarkable structures of the planar theory. In particular, we show that through two loops, the four-particle amplitude in full $\mathcal{N}=4$ SYM has only logarithmic singularities and is free of any poles at infinity---properties closely related to uniform transcendentality and the UV-finiteness of the theory. We also briefly comment on implications for maximal ($\mathcal{N}=8$) supergravity.
fields
math-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
A Boundary--Residue Incidence Coalgebra for Associahedral Scattering Forms
Introduces a boundary-residue incidence coalgebra on associahedral face posets that records nested factorization channels in planar scalar amplitudes and extends the idea to loop-level positive geometries.