Carolina Figueiredo | All-order splits and multi-soft limits for particle and string amplitude 

Amplituhedra, Cluster Algebras, and Positive Geometry Conference
May 29, 2024
Speaker: Carolina Figueiredo, Princeton University
Title: All-order splits and multi-soft limits for particle and string amplitude
Abstract: The most important aspects of scattering amplitudes have long been thought to be associated with their poles. Recently a very different sort of “split” factorizations for a wide range of particle and string tree amplitudes have been discovered away from poles. In this talk, I will explain how natural properties of the binary geometry of the curve integral formulation for scattering amplitudes for Tr$(\Phi^3)$ theory give a simple, conceptual origin for these splits, that generalizes them to all orders in the topological expansion. I will also explain how the splits allow us to access and compute loop-integrated multi-soft limits for particle and string amplitudes in Tr$(\Phi^3)$ theory, the non-linear sigma model and Yang-Mills theory.