245 citations · 374 across the 14 of their papers we have counts for
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Analytic multi-loop results using finite fields and dataflow graphs with FiniteFlow
Tiziano Peraro
FiniteFlow is a public framework for defining and executing numerical algorithms over finite fields and reconstructing multivariate rational functions. The framework allows to buil…
A numerical evaluation of planar two-loop helicity amplitudes for a W-boson plus four partons
Heribertus Bayu Hartanto, Simon Badger, Christian Brønnum-Hansen +1
We present the first numerical results for the two-loop helicity amplitudes for the scattering of four partons and a W-boson in QCD. We use a finite field sampling method to reduce…
Physical projectors for multi-leg helicity amplitudes
Tiziano Peraro, Lorenzo Tancredi
We present a method for building physical projector operators for multi-leg helicity amplitudes. For any helicity configuration of the external particles, we define a physical proj…
Analytic form of the full two-loop five-gluon all-plus helicity amplitude
S. Badger, D. Chicherin, T. Gehrmann +6
We compute the full-color two-loop five-gluon amplitude for the all-plus helicity configuration. In order to achieve this, we calculate the required master integrals for all permut…
FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs
Tiziano Peraro
Complex algebraic calculations can be performed by reconstructing analytic results from numerical evaluations over finite fields. We describe FiniteFlow, a framework for defining a…
Matter dependence of the four-loop cusp anomalous dimension
Johannes M. Henn, Tiziano Peraro, Maximilian Stahlhofen +1
We compute analytically the matter-dependent contributions to the quartic Casimir term of the four-loop light-like cusp anomalous dimension in QCD, with fermion and sca…