Work

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

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2604.26798

Author: Pittau, Roberto

Institution: Universidad de Granada

Topic: Particle physics theoretical and experimental studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Ministerio de Ciencia e Innovación, Junta de Andalucía, European Regional Development Fund

Awards: G1092424111, G1855990336, G2309174360, G2714018396, G3518538256, G410571670, G430777504, G451917667, G5421974903, G5967599077, G6531045761, G6533733065, G8920660035

OpenAlex ID: W7158761085

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