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Numerical computation of two-loop box diagrams with masses. (English) Zbl 1296.81117
Summary: 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.

MSC:
81T80 Simulation and numerical modelling (quantum field theory) (MSC2010)
81V15 Weak interaction in quantum theory
65D30 Numerical integration
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