All-Order Splits and Multi-Soft Limits for Particle and String Amplitudes

Explore a 24-minute conference talk from the Amplituhedra, Cluster Algebras, and Positive Geometry Conference where Princeton University's Carolina Figueiredo delves into the fascinating world of particle and string amplitude factorizations. Learn about newly discovered "split" factorizations occurring away from poles, challenging traditional perspectives that primarily focused on pole-associated aspects of scattering amplitudes. Discover how binary geometry properties in curve integral formulation for Tr(Φ³) theory provide a conceptual foundation for these splits, extending their application across all orders in topological expansion. Understand the practical applications of these splits in computing loop-integrated multi-soft limits for various theories including Tr(Φ³), non-linear sigma model, and Yang-Mills theory.