On-Shell Recursion of Tree-Level Amplitudes

This lecture by Shruti Paranjape explores on-shell recursion relations for calculating tree-level scattering amplitudes as part of the "Positive Geometry in Scattering Amplitudes and Cosmological Correlators" program at the International Centre for Theoretical Sciences. Delve into advanced mathematical techniques that have revolutionized our approach to perturbative quantum field theory calculations. The presentation connects to broader themes of the workshop, which brings together experts from scattering amplitudes and cosmology to explore shared mathematical structures including unitarity methods, recursion relations, worldsheet models, bootstrap methods, and connections to positive geometry. Learn about cutting-edge approaches that are pushing toward a complete reformulation of the perturbative S-matrix using novel principles, with implications for understanding both particle physics and cosmological correlators that describe our Universe.