Mathematical Structures in Feynman Integrals

Session

Session XI

Feb 16, 2023, 9:00 AM

Emmy Noether Campus

20. Antipodal (Self)-Duality in Planar N=4 Super-Yang-Mills Theory

Lance Dixon

2/16/23, 9:00 AM

In planar N=4 super-Yang-Mills theory, some scattering amplitudes and form factors that evaluate to multiple polylogarithms can be bootstrapped, or constructed without knowing the precise Feynman integrals, in some cases through eight loops. This allows a window into high orders of perturbation theory for certain scattering processes. Remarkably, the 6-gluon amplitude and the 3-gluon form...

21. Motivic Galois theory for Feynman integrals via twisted cohomology

Clément Dupont

2/16/23, 10:00 AM

I will report on ongoing joint work with Francis Brown, Javier Fresán, and Matija Tapušković, in which we prove that dimensionally regularized Feynman integrals are closed under the action of the motivic Galois group, termwise in the epsilon expansion. This fits into a larger framework of motivic Galois theory for algebraic Mellin transforms, where the main protagonists are formal versions of...