Numerical computation of two-loop box diagrams with masses |
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| Authors: | F Yuasa E de Doncker N Hamaguchi T Ishikawa K Kato Y Kurihara J Fujimoto Y Shimizu |
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| Affiliation: | 1. The Florey Institute for Neuroscience and Mental Health, University of Melbourne, Melbourne, Australia;2. Melbourne School of Psychological Sciences, University of Melbourne, Melbourne, Australia;3. LANVIE–Laboratory of Neuroimaging of Aging, University of Geneva, Geneva, Switzerland;4. Laboratory of Alzheimer''s Neuroimaging and Epidemiology (LANE), IRCCS Istituto Centro San Giovanni di Dio Fatebenefratelli, Brescia, Italy;5. Department of Neurology, Austin Health, Heidelberg, Victoria, Australia;6. Laboratory of Neuroinformatics, IRCCS Istituto Centro San Giovanni di Dio Fatebenefratelli, Brescia, Italy;1. INESC-ID and Instituto Superior Técnico, Universidade de Lisboa, Lisboa, Portugal;2. LASIGE, Faculdade de Ciências, Universidade de Lisboa, Lisboa, Portugal |
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| Abstract: | A new approach is presented to evaluate multi-loop integrals, which appear in the calculation of cross-sections in high-energy physics. It relies on a fully numerical method and is applicable to a wide class of integrals with various mass configurations. As an example, the computation of two-loop planar and non-planar box diagrams is shown. The results are confirmed by comparisons with other techniques, including the reduction method, and by a consistency check using the dispersion relation. |
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