English

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

High Energy Physics - Phenomenology 2024-07-26 v2 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.2404.14868,
  title  = {Monte Carlo evaluation of divergent one-loop integrals without contour deformation},
  author = {Roberto Pittau},
  journal= {arXiv preprint arXiv:2404.14868},
  year   = {2024}
}

Comments

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