139 citations · 950 across the 31 of their papers we have counts for
37 papers
The wheel classes in the locally finite homology of , canonical integrals and zeta values
Francis Brown, Oliver Schnetz
We compute the canonical integrals associated to wheel graphs, and prove that they are proportional to odd zeta values. From this we deduce that wheel classes define explicit non-z…
Seven loops
Oliver Schnetz
We give a detailed account of the theory of position space renormalization using graphical functions in the case of dimensionally regularized theory in four dimensions. In th…
Recursive computation of Feynman periods
Michael Borinsky, Oliver Schnetz
Feynman periods are Feynman integrals that do not depend on external kinematics. Their computation, which is necessary for many applications of quantum field theory, is greatly fac…
Generalized single-valued hyperlogarithms
Oliver Schnetz
Single-valued hyperlogarithms are generalized to include primitives of differential forms , , where $\overli…
Graphical functions in even dimensions
Michael Borinsky, Oliver Schnetz
Graphical functions are special position space Feynman integrals, which can be used to calculate Feynman periods and one- or two-scale processes at high loop orders. With graphical…
Five loop renormalization of theory with applications to the Lee-Yang edge singularity and percolation theory
M. Borinsky, J. A. Gracey, M. V. Kompaniets +1
We apply the method of graphical functions that was recently extended to six dimensions for scalar theories, to theory and compute the function, the wave function anomalo…