Mathematical Structures in Feynman Integrals

Session

Session VIII

Feb 15, 2023, 11:30 AM

Emmy Noether Campus

15. Amplitudes, Ansätze and Algebraic Geometry

Ben Page

2/15/23, 11:30 AM

Multi-particle scattering amplitudes beyond tree level are complicated functions of many variables. In practical computations, amplitudes are organized as a linear combination of transcendental functions with rational functions as coefficients. The computation of these rational functions in cutting-edge cases poses a significant challenge. In the modern approach, these rational functions are...

16. The Function Space of N=4 Scattering Amplitudes in the Regge Limit to all Orders

Robin Marzucca

2/15/23, 12:00 PM

I will review a recent mathematical technique to efficiently compute scattering amplitudes in the forward scattering limit of N=4 SYM and explain how it can be used to fully determine the function space of scattering amplitudes in this limit to all orders in perturbation theory.