HET- seminar: Simon Caron-Huot

Speaker:  Simon Caron-Huot

Title: The dual of Feynman integrals

Abstract:  I will discuss recent mathematical ideas to help integrate over loop momenta in quantum field theory.
For any given process, there exists a basis of so-called master integrals, over which the amplitude for this
process can be expanded. The amplitude can be calculated if one could determine the coefficient of each master, as well as the differential equations these satisfy.  I will argue that both these operations are better understood in a ``dual’’ space to the Feynman integrals.  This is based on work in progress, but I’ll review some key ideas from Mizera and Mastrolia (1810.03818).