193 citations · 957 across the 14 of their papers we have counts for
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Compact Syzygies for Feynman Integrals from Landau Singularities
Federico Coro, Pavel P. Novichkov, Ben Page +1
We discuss a recent proposal for constructing ``syzygy solutions'', which play a crucial role in integration-by-parts reductions for multi-loop scattering amplitudes. We highlight…
Feynman Integral Reduction and Landau Singularities
Federico Coro, Pavel P. Novichkov, Ben Page +1
We propose that Feynman integral reduction is controlled by solutions of the Landau equations. We study integral relations with prescribed propagator powers using syzygy methods an…
Fano and Reflexive Polytopes from Feynman Integrals
Leonardo de la Cruz, Pavel P. Novichkov, Pierre Vanhove
We classify the Fano and reflexive polytopes that arise from quasi-finite Feynman integrals. These polytopes appear as scaled Minkowski sums of the Newton polytopes associated with…
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…
Spinning waveforms from KMOC at leading order
Stefano De Angelis, Riccardo Gonzo, Pavel P. Novichkov
We provide the analytic waveform in time domain for the scattering of two Kerr black holes at leading order in the post-Minkowskian expansion and up to fourth order in both spins.…