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Evaluating multi-loop Feynman integrals numerically through differential equations
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DOI：10.1007/JHEP03(2019)190.png)
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Abstract
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The computation of Feynman integrals is often the bottleneck of multi-loop calculations. We propose and implement a new method to efficiently evaluate such integrals in the physical region through the numerical integration of a suitable set of differential equations, where the initial conditions are provided in the unphysical region via the sector decomposition method. We present numerical results for a set of two-loop integrals, where the non-planar ones complete the master integrals for gg and qq scattering mediated by the top quark.
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NLO Computations
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