Efficient Monte-Carlo on Feynman parametric integrals

by Michael Borinsky (nikhef)

Wednesday 4 Dec 2019, 16:00 → 17:30 Europe/Berlin

Main/0-104 - 104 (Main)

The rapid progression of analytic evaluation techniques for Feynman integrals in the recent years has been substantially driven by novel insights into the underlying mathematical structures. I will show how some of these structures can be used to accelerate numerical Feynman integral calculations. As a concrete example, I will introduce a Monte-Carlo integration algorithm of Feynman parametric integrals whose runtime only scales polynomially in the number of edges of the underlying graph.