Poles At Infinity in On-shell Diagrams

• DOI: 10.48550/arxiv.2212.06840
• Publication Date: 2022-01-01
• Authors: Taro V. Brown; Umut Öktem; Jaroslav Trnka
• Keywords: Infinity

In this paper we study on-shell diagrams in ${\cal N}{<}4$ supersymmetric Yang-Mills (SYM) theory. These are gauge invariant objects which appear as cuts of loop integrands the context generalized unitarity and serve building blocks for amplitudes recursion relations. dual formulation, they associated with cells positive Grassmannian $G_+(k,n)$ functions can be reproduced canonical differential forms. While case N}{=}4$ maximally theory all poles correspond to IR when momentum flows edges zero, SYM theories there new UV momenta go infinity. originate from prefactor dlog form do not erasing diagrams. We show that interpreted a diagrammatic operation involves pinching performing ``non-planar twist'' on external legs, gives rise non-planar diagram. Our result provides an important clue role at infinite scattering amplitudes, relation functions.