9 papers
HyperFORM -- a FORM package for parametric integration with hyperlogarithms
Adam Kardos, Sven-Olaf Moch, Oliver Schnetz
HyperFORM brings the parametric integration of hyperlogarithms, weighted by rational prefactors, into the symbolic-manipulation system FORM. It ports the capabilities of Erik Panze…
Graphical Functions by Examples
Mrigankamauli Chakraborty, Marco Klann, Sven-Olaf Moch +4
Graphical functions have emerged as a powerful framework for evaluating multi-loop Feynman integrals in perturbative quantum field theory. Defined as massless three-point position-…
Self-duality of massless scalar three-point amplitudes
Oliver Schnetz
We prove that off-shell massless scalar three-point Feynman integrals are self-dual under Fourier transformation. This implies that a momentum space integral can be expressed as th…
HyperFORM -- a FORM package for parametric integration with hyperlogarithms
Adam Kardos, Sven-Olaf Moch, Oliver Schnetz
We present an implementation of algorithms for the symbolic integration of hyperlogarithms multiplied by rational functions in the computer algebra system FORM. This implementation…
The five-twist identity for Feynman periods
Oliver Schnetz
We prove a new identity for Feynman periods that acts on five-vertex cuts of completed primitive Feynman graphs. It is shown that in theory this identity is independent from…
LinApart2: efficient parallel partial fraction decomposition algorithm for denominators with polynomials of general degree
Levente Fekésházy, Oliver Schnetz
We present LinApart2, a major update to the LinApart algorithm for univariate partial fraction decomposition. Unlike its predecessor, LinApart2 can handle denominators of arbitrary…