6 papers · 1 filter
Analytic One-loop Scattering Waveform in General Relativity
Giacomo Brunello, Stefano De Angelis, David A. Kosower
Leveraging the computational framework presented in reference [JHEP 07, 062 (2024)], we evaluate the analytic scattering waveform in General Relativity to second order, $G^3 M^3 /r…
Singularity-Free Feynman Integral Bases
Stefano De Angelis, David A. Kosower, Rourou Ma +2
Standard integration-by-parts (IBP) reduction methods typically yield Feynman integral bases where the reduction of some integrals gives rise to coefficients singular as the dimens…
Serendipitous Syzygies of Scattering Amplitudes
David A. Kosower, Sebastian Pögel
We study linear relations between color-ordered all-plus amplitudes at one loop in Yang--Mills theory. We show that on general grounds, there are relations for $n\ge 5…
Maximal Unitarity for the Four-Mass Double Box
Henrik Johansson, David A. Kosower, Kasper J. Larsen
We extend the maximal-unitarity formalism at two loops to double-box integrals with four massive external legs. These are relevant for higher-point processes, as well as for heavy…
Two-Loop Maximal Unitarity with External Masses
Henrik Johansson, David A. Kosower, Kasper J. Larsen
We extend the maximal unitarity method at two loops to double-box basis integrals with up to three external massive legs. We use consistency equations based on the requirement that…
Finite Integrals from Feynman Polytopes
Leonardo de la Cruz, David A. Kosower, Pavel P. Novichkov
We investigate a geometric approach to determining the complete set of numerators giving rise to finite Feynman integrals. Our approach proceeds graph by graph, and makes use of th…