Monte Carlo evaluation of divergent one-loop integrals without contour deformation

Abstract

Reference [1] introduces a method for computing numerically four-dimensional multi-loop integrals without performing an explicit analytic contour deformation around threshold singularities. In this paper, we extend such a technique to massless scalar one-loop integrals regularized in the framework of dimensional regularization. A two-loop example is also discussed.

Comments: 9 pages, 4 figures. A two-loop example has been added. Version published in EPJC