5 papers
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…
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…
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…
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…
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…