Mathematical Structures in Feynman Integrals

Session

Session IX

Feb 15, 2023, 2:30 PM

Emmy Noether Campus

17. One-loop hexagon integral to higher orders in the dimensional regulator

Antonela Matijašić

2/15/23, 2:30 PM

The state–of–the–art in current two–loop QCD amplitude calculations is at five-particle scattering. In contrast, very little is known at present about two–loop six–particle scattering processes. Computing two–loop six–particle processes requires knowledge of the corresponding one–loop amplitudes to higher orders in the dimensional regulator. In this talk, I will show the analytic results for...

18. Computer Algebra Methods for Feynman Integrals

Carsten Schneider

2/15/23, 3:00 PM

We report on a collection of computer algebra algorithms and their implementations that have been used in recent calculations of massive and massless 3-loop Feynman integrals. Among them we will focus on symbolic summation and integration methods, (partial) linear differential and difference equation solvers and the large moment method. A specific feature of all the techniques is that the...