47 citations · 88 across the 5 of their papers we have counts for
5 papers
Chebyshev Approximations of Feynman Integrals for Collider Physics
Samuel Abreu, Afonso Guerreiro, Ben Page
We present a novel approach for solving canonical differential equations for Feynman integrals based on an approximation of the integrals with Chebyshev polynomials. By exploiting…
Planar Six-Point Feynman Integrals for Four-Dimensional Gauge Theories
Samuel Abreu, Pier Francesco Monni, Ben Page +1
We compute all planar two-loop six-point Feynman integrals entering scattering observables in massless gauge theories such as QCD. A central result of this paper is the formulation…
Four-loop two-mass tadpoles and the parameter
Samuel Abreu, Arnd Behring, Andrew McLeod +1
We calculate four-loop QCD corrections to the electroweak parameter with a non-vanishing quark mass. At three loops, it was observed that elliptic integrals contribute to t…
Caravel: A C++ Framework for the Computation of Multi-Loop Amplitudes with Numerical Unitarity
S. Abreu, J. Dormans, F. Febres Cordero +6
We present the first public version of Caravel, a C++17 framework for the computation of multi-loop scattering amplitudes in quantum field theory, based on the numerical unitarity…
Subleading Poles in the Numerical Unitarity Method at Two Loops
S. Abreu, F. Febres Cordero, H. Ita +2
We describe the unitarity approach for the numerical computation of two-loop integral coefficients of scattering amplitudes. It is well known that the leading propagator singularit…