GLoop: A Monte Carlo program to construct higher-loop integrals from lower-loop structures

Roberto Pittau

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arXiv · 2604.26798

GLoop: A Monte Carlo program to construct higher-loop integrals from lower-loop structures

Roberto Pittau

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Abstract

We present GLoop, a Fortran90 computational framework that allows one to compute by Monte Carlo a certain class of higher-loop integrals in terms of lower-loop building blocks. This is based on a recently introduced method that enables the numerical computation of integrals defined by i epsilon deformations acting on single pole singularities without the need for an explicit analytic contour deformation. We provide detailed, worked-out examples and routines to show how our strategy works. These can be used as a starting point for the reader to develop her/his own calculations.

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Roberto Pittau. 2026-04-29. GLoop: A Monte Carlo program to construct higher-loop integrals from lower-loop structures. https://arxiv.org/abs/2604.26798

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