Properties of Yang-Mills scattering forms

Abstract

In this talk we introduce the properties of scattering forms on the compactified moduli space of Riemann spheres with $n$ marked points. These differential forms are $\text{PSL}(2,\mathbb{C})$ invariant, their intersection numbers correspond to scattering amplitudes as recently proposed by Mizera. All singularities are at the boundary of the moduli space and each singularity is logarithmic. In addition, each residue factorizes into two differential forms of lower points.

arXiv comment11 pages, talk given at Loops and Legs in Quantum Field Theory 2018

References in corpus (8)

• New Relations for Gauge-Theory Amplitudes
• Perturbative Quantum Gravity as a Double Copy of Gauge Theory
• Scattering of Massless Particles in Arbitrary Dimension
• Gravity as the Square of Gauge Theory
• Scattering Equations and KLT Orthogonality
• Combinatorics and Topology of Kawai-Lewellen-Tye Relations
• A Combinatoric Shortcut to Evaluate CHY-forms
• Tales of 1001 Gluons