Abstract:
Multi-loop Feynman integrals for collider physics are known to contain intricate geometries and to evaluate to complicated transcendental numbers and functions. After an introduction to how those arise in Quantum Field Theory, I will investigate Feynman integrals contributing to the emission of gravitational waves in classical gravity. I will provide a full classification of the contributing Feynman integrals up to fifth order in the post-Minkowskian expansion, identifying new geometries that lead to new transcendental functions. Moreover, I will demonstrate how the corresponding differential equations can be solved by bringing them into canonical form.
About the speaker:
Matthias Wilhelm is an associate professor of theoretical and mathematical physics at the University of Southern Denmark. His research focuses on uncovering the mathematical structures that govern the universe at its most fundamental levels, employing a diverse range of tools, from algebraic geometry to machine learning.
The UNIVERSE+ Online Seminar Series is designed to foster dialogue and collaboration among project partners and those interested in positive geometry.
You are welcome to register here.
