Cutkosky Rules from Outer Space
October 06, 2016
We overview recent results on the mathematical foundations of Cutkosky rules. We emphasize
that the two operations of shrinking an internal edge or putting internal lines on the mass-shell are
natural operation on the cubical chain complex studied in the context of geometric group theory.
This together with Cutkosky’s theorem regarded as a theorem which informs us about variations
connected to the monodromy of Feynman amplitudes allows for a systematic approach to normal
and anomalous thresholds, dispersion relations and the optical theorem. In this report we follow
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