4 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…
Taming Symbolic IBP Reduction with Intermediate Bases
Qian Song
Despite many years of development in integration-by-parts reduction, reconstructing all reduction coefficients, which are rational polynomials of kinematic variables and the space-…
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…
Critical Points and Syzygies for Feynman Integrals
Ben Page, Qian Song
We investigate a novel theoretical structure underlying the computation of integration-by-parts relations between Feynman integrals via syzygy-based methods. Building on insights f…