Speaker
Thomas Stone
(Technical University of Munich (TUM))
Description
We present a method for the high-precision numerical evaluation of transcendental functions appearing in Feynman integrals, based on a natural extension of known techniques for approximating transcendental numbers by rationals. The method easily achieves 100+ digits of precision, is systematically improvable and applies broadly to periods of elliptic curves and Calabi-Yau manifolds, as well as to more general iterated integrals. We also discuss prospects for extending this approach to the direct numerical evaluation of complete Feynman integrals.
Authors
Lorenzo Tancredi
(Technical University of Munich (TUM))
Thomas Stone
(Technical University of Munich (TUM))