Evaluating multi-loop Feynman integrals numerically through differential equations
A bstract 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→ γγ and\(q\overline {q}\)→ γγ …
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→ γγ and\(q\overline {q}\)→ γγ …
Abstract
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→ γγ and→ γγ scattering mediated by the top quark.
Springer
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