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129 papers
Finite Massless Pentaboxes
Gustavo Figueiredo, David A. Kosower, Pavel P. Novichkov
We characterize the integrand numerators that give rise to locally finite or evanescent Feynman integrals for the massless pentabox. We provide compact expressions for the generato…
Seedless Reduction of Feynman Integrals
Leonardo de la Cruz, David A. Kosower
We show how to construct a complete set of lowering operators, whose successive application reduces an arbitrary Fenyman integral to a combination of master integrals. The construc…
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…
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…