Direct numerical evaluation of multi-loop integrals without contour deformation Pittau, Roberto Webber, Bryan The work of RP is supported by the SRA grant PID2019-106087GB-C21 (10.13039/501100011033), by the Junta de Andalucía grants A-FQM-467-UGR18 and P18-FR-4314 (FEDER), and by the COST Action CA16201 PARTICLEFACE. The work of BW was partially supported by STFC HEP consolidated grants ST/P000681/1 and ST/T000694/1. We propose a method for computing numerically integrals defined via i 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 fourdimensional regularization techniques, our treatment can be extended to ultraviolet and infrared divergent integrals. 2022-02-10T09:21:17Z 2022-02-10T09:21:17Z 2022-01-20 journal article Pittau, R., Webber, B. Direct numerical evaluation of multi-loop integrals without contour deformation. Eur. Phys. J. C 82, 55 (2022). [https://doi.org/10.1140/epjc/s10052-022-10008-6] http://hdl.handle.net/10481/72767 10.1140/epjc/s10052-022-10008-6 eng http://creativecommons.org/licenses/by/3.0/es/ open access Atribución 3.0 España Springer Nature