Direct numerical evaluation of multi-loop integrals without contour deformation
Metadatos
Afficher la notice complèteEditorial
Springer Nature
Date
2022-01-20Referencia bibliográfica
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]
Patrocinador
Science and Technology Facilities Council ST/P000681/1, ST/T000694/1; European Cooperation in Science and Technology CA16201; European Regional Development Fund; Junta de Andalucía A-FQM-467-UGR18, P18-FR-4314; Sharjah Research Academy PID2019-106087GB-C21Résumé
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.