Scattering Amplitudes: new perspectives on Feynman Integral Calculus

by Pierpaolo Mastrolia (Università di Padova e INFN Sezione di Padova)

Monday 9 Feb 2015, 14:30 → 16:00 Europe/Rome

Aula Conversi (Dipartimento di Fisica - Ed. G. Marconi)

I discuss about the fundamental role played by scattering amplitudes at the core of Quantum Field Theory. I elaborate on how qualitative properties of the S-Matrix, such as Unitarity and Analiticity, turn into powerful methods for the quantitative determination of Feynman amplitudes. I show that there exists a unique and simple framework underlying scattering amplitudes to all orders in perturbation theory, which is based on Multivariate Polynomial Division. Finally, I will present how Differential Equations for Feynman integrals can be solved by using Magnus exponential.