Feynman diagrams as a weight system : four-loop test of a four-term relation ∗ )

@inproceedings{Broadhurst1996FeynmanDA,
title={Feynman diagrams as a weight system : four-loop test of a four-term relation ∗ )},
author={D. J. Broadhurst and Dirk Kreimer},
year={1996}
}

At four loops there first occurs a test of the four-term relation derived by the second author in the course of investigating whether counterterms from subdivergence-free diagrams form a weight system. This test relates counterterms in a four-dimensional field theory with Yukawa and φ 4 interactions, where no such relation was previously suspected. Using integration by parts, we reduce each counterterm to massless two-loop two-point integrals. The four-term relation is verified, with G 1 − G 2… CONTINUE READING