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Analytic multi-loop results using finite fields and dataflow graphs with FiniteFlow
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FiniteFlow is a public framework for defining and executing numerical algorithms over finite fields and reconstructing multivariate rational functions. The framework allows to build complex algorithms by combining basic building blocks into graphical representations of the calculation, known as dataflow graphs. It offers an easy-to-use Mathematica interface for implementing efficient custom algorithms without any low-level coding. We report on some new features of FiniteFlow which have been published after its initial release, give some simple example of usage for common tasks and review recent cutting-edge applications to two-loop five-point scattering and the four-loop cusp anomalous dimension.
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Cited by 2 Pith papers
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Two-loop QCD amplitudes for $t\bar{t}W$ production at the LHC in the leading-colour approximation
First two-loop QCD hard functions for ttW production with exact top and W masses in leading colour, evaluated on a 224,640-point grid and cross-checked by an independent calculation.
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Two-loop amplitude for $t\bar{t}W$ production at hadron colliders in the leading colour approximation
The leading-colour two-loop QCD amplitude for ttbar-W production is evaluated numerically at phase-space points using differential equations and finite-field rational reconstruction.
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