Speaker
Henrik Jessen Munch
(University of Padova)
Description
We propose a Monte Carlo integration algorithm for numerically evaluating Feynman integrals in the physical region of phase space. The algorithm is an extension of the tropical integration algorithm of M. Borinsky. Starting from the projective representation of a Feynman integral, we implement Feynman's i*epsilon prescription via a suitable contour deformation, whereafter tropical sampling is used to approximate the value of the integral. An accompanying public code named 'feyntrop' is introduced, which we use to present examples between 2 and 5 loops. This work is done in collaboration with M. Borinsky and F. Tellander.