• Corpus ID: 248965115

# Generalised graph Laplacians and canonical Feynman integrals with kinematics

@inproceedings{Brown2022GeneralisedGL,
title={Generalised graph Laplacians and canonical Feynman integrals with kinematics},
author={Francis Brown},
year={2022}
}
• F. Brown
• Published 20 May 2022
• Mathematics
. To any graph with external half-edges and internal masses, we associate canonical integrals which depend non-trivially on particle masses and momenta, and are always ﬁnite. They are generalised Feynman integrals which satisfy graphical relations obtained from contracting edges in graphs, and a coproduct involving both ultra-violet and infra-red subgraphs. Their integrands are deﬁned by evaluating bi-invariant forms which represent stable classes in the cohomology of the general linear group…
3 Citations

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