139 citations · 950 across the 31 of their papers we have counts for
6 papers · 1 filter
Generalized single-valued hyperlogarithms
Oliver Schnetz
Single-valued hyperlogarithms are generalized to include primitives of differential forms , , where $\overli…
invariants of hourglass chains via quadratic denominator reduction
Oliver Schnetz, Karen Yeats
We introduce families of four-regular graphs consisting of chains of hourglasses which are attached to a finite kernel. We prove a formula for the invariant of these hourglas…
Geometries in perturbative quantum field theory
Oliver Schnetz
In perturbative quantum field theory one encounters certain, very specific geometries over the integers. These perturbative quantum geometries determine the number contents of the…
The Galois coaction on the electron anomalous magnetic moment
Oliver Schnetz
Recently S. Laporta published a partial result on the fourth order QED contribution to the electron anomalous magnetic moment . This result contains explicit polylogarithmic p…
Graphical functions in parametric space
Marcel Golz, Erik Panzer, Oliver Schnetz
Graphical functions are positive functions on the punctured complex plane which arise in quantum field theory. We generalize a parametric integral repr…
Generating Functions for Multi-j-Symbols
Oliver Schnetz
A formula is derived that provides generating functions for any multi-j-symbol, such as the 3-j-symbol, the 6-j-symbol, the 9-j-symbol, etc. The result is completely determined by…