Details

Autor(en) / Beteiligte

• Pittau, Roberto
• Webber, Bryan

Titel

Direct numerical evaluation of multi-loop integrals without contour deformation

Ist Teil von

• The European physical journal. C, Particles and fields, 2022-01, Vol.82 (1), p.1-22, Article 55

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2022

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We propose a method for computing numerically integrals defined via i ϵ deformations acting on single-pole singularities. We achieve this without an explicit analytic contour deformation. Our solution is then used to produce precise Monte Carlo estimates of multi-scale multi-loop integrals directly in Minkowski space. We corroborate the validity of our strategy 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.