Mathematical Structures in Feynman Integrals

Session

Session VI

Feb 14, 2023, 4:30 PM

Emmy Noether Campus

12. Integration-By-parts-Reduction using syzygies

Bakul Agarwal (KIT)

2/14/23, 4:30 PM

Integration By parts Reduction to master integrals is an essential step in most modern multi-loop scattering amplitude calculations. In recent years, IBP reduction based on syzygy methods has become increasingly popular, allowing the calculation of many challenging processes. We will discuss our approach to calculate these syzygies using linear algebra and finite field based methods, as well...

25. Faster modular IBP solving via Ratracer and tricks

Vitaly Magerya

2/14/23, 5:00 PM

I'd like to present Rational Tracer, a solver of systems of Integration-By-Parts relations (and more) based on modular arithmetic methods, and explain how using new programming ideas we can achieve lower evaluation times and higher flexibility for practical IBP solving.