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In this lecture, John Joseph Carrasco presents the second part of "Doubling Our Positivity With Double Copy," focusing on loop-level calculations in the context of scattering amplitudes. Part of the "Positive Geometry in Scattering Amplitudes and Cosmological Correlators" program at the International Centre for Theoretical Sciences, this 1 hour 38 minute presentation builds upon previous concepts to explore how double copy techniques extend to loop calculations. Learn about the mathematical structures that connect seemingly different fields of theoretical physics, including unitarity methods, recursion relations, worldsheet models, bootstrap methods, and their relationships to positive geometry, positive Grassmannian, Associahedron, and the Amplituhedron. Discover how these advanced concepts are pushing toward a reformulation of the perturbative S-matrix using novel principles, with potential applications to understanding cosmological correlators and fundamental physics of our Universe.
