تقرير
Direct numerical evaluation of multi-loop integrals without contour deformation
| العنوان: | Direct numerical evaluation of multi-loop integrals without contour deformation |
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| المؤلفون: | Pittau, Roberto, Webber, Bryan |
| المصدر: | Eur.Phys.J.C 82 (2022) 1, 55 |
| سنة النشر: | 2021 |
| المجموعة: | High Energy Physics - Phenomenology High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Phenomenology, High Energy Physics - Theory |
| الوصف: | We propose a method for computing numerically integrals defined via $i \epsilon$ 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. Comment: 22 pages, 18 figures, final version to appear in EPJC |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1140/epjc/s10052-022-10008-6 |
| URL الوصول: | http://arxiv.org/abs/2110.12885 |
| رقم الأكسشن: | edsarx.2110.12885 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1140/epjc/s10052-022-10008-6 |
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