Modern Foundations of Scattering Amplitudes

One of the main goals of modern physics is to understand the laws of nature that govern the fundamental interactions at different length scales. The central quantities that describe interactions among elementary particles are scattering amplitudes. On one side, they are at the heart of the theoretical predictions for cross sections measured at high-energy colliders. On the other hand, they serve as driving force for theoretical developments in quantum field theories, and therefore provide a powerful help in understanding the properties of the underlying theory. The mathematics behind scattering amplitudes is therefore the crucial ingredient to understand the fundamental interactions between elementary particles.
The proposed Research Unit will advance the field of theoretical and mathematical physics by performing an in-depth analysis of the mathematical foundations of scattering amplitudes. It will uncover new fundamental principles underlying some of the most important quantities in modern physics and develop novel powerful tools for their computation.