Finite fields and functional reconstruction of multi-loop amplitudes

by Tiziano Peraro

Wednesday 19 Dec 2018, 11:00 → 12:00 Europe/Zurich

Aula Caldirola (Dipartimento di Fisica, Università degli Studi di Milano)

I will describe functional reconstruction algorithms for computing multivariate analytic results from numerical evaluations over finite fields. I will show how to employ these methods for the solution of complex algebraic problems related to the calculation of multi-loop scattering amplitudes. I will focus on multi-loop techniques such as Integration By Parts identities, differential equations, integrand reduction and generalized unitarity, as well as recent results for two-loop five-point amplitudes in QCD.

Tiziano_Peraro.pdf