Mathematical Structures in Feynman Integrals

Session

Session IV

Feb 14, 2023, 11:15 AM

Emmy Noether Campus

8. Recent progress in the reconstruction of multi-loop amplitudes

Tiziano Peraro

2/14/23, 11:15 AM

I will discuss recent progress in techniques for generating and reconstructing multi-loop scattering amplitudes. I will focus on novel developments in physical projectors, reduction to master integrals and partial fraction decomposition, as well as their combination with finite fields and rational reconstruction methods.

9. Computing intersection numbers with a rational algorithm

Gaia Fontana

2/14/23, 11:45 AM

Intersection theory allows to exploit the vector space structure obeyed by Feynman integrals, turning the decomposition to master integrals into the calculation of the projection of a vector into a basis, via scalar products called intersection numbers. In this talk I will discuss how the calculation of intersection numbers can be achieved via a purely rational algorithm, through the...