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20142024
most citedFeynman amplitudes on moduli spaces of graphs

11 citations · 48 across the 11 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

math-ph2022★ 3 cited

Hierarchies in relative Picard-Lefschetz theory

Marko Berghoff, Erik Panzer

We prove a relative version of the Picard-Lefschetz theorem, describing the variation of relative homology groups in the fibers of a smoot…

hep-th2022★ 4 cited

Schwinger, ltd: Loop-tree duality in the parametric representation

Marko Berghoff

We derive a variant of the loop-tree duality for Feynman integrals in the Schwinger parametric representation. This is achieved by decomposing the integration domain into a disjoin…

math.QA2022

Virtual posets, shuffle algebras and associators

José A. Arciniega-Nevárez, Marko Berghoff, Eric Dolores-Cuenca

We provide a method to construct new associators out of Drinfel'd's KZ associator. We obtain two analytic families of associators whose coefficients we can describe explicitly by a…