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Résumé |
In this talk, I will review both theoretical and phenomenological aspects of multi-loop scattering amplitudes, emphasizing their broad range of applications in modern particle physics. Recent advances in the mathematical understanding of Feynman integrals have had a significant impact across several areas of theoretical physics, ranging from precision predictions in perturbative quantum field theory to applications in cosmology and classical gravity.
I will discuss some of the state-of-the-art techniques currently employed for the evaluation of Feynman integrals, illustrating how these objects naturally connect diverse fields such as differential geometry, differential equations, and numerical techniques. Parallel to this discussion, I will provide examples of multi-loop calculations and present novel automated tools devoted to scattering amplitude evaluations. |