Numerical evaluation of multi-loop integrals without contour deformation

We propose a method to produce precise Monte Carlo estimates of multi-scale multi-loop integrals directly in Minkowski space. The validity of our strategy is corroborated by presenting several examples ranging from one to three loops. When used in connection with four-dimensional regularization techniques, our treatment can be extended to ultraviolet and infrared divergent integrals.

*Wednesday, 12th April 2022, 14:30 — Sala Wataghin *