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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Steinmann violation and minimal cuts

  • Holmfridur S. Hannesdottir1
  • Luke Lippstreu2
  • Andrew J. McLeod2
  • Maria Polackova2
  1. 1Institute for Advanced Study
  2. 2The University of Edinburgh
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Abstract

A bstract : The Steinmann relations are known to be violated with respect to some — but not all — two-particle momentum channels in massless Feynman integrals. We trace the source of this Steinmann violation to a special class of singularities, which arise from partially-overlapping minimal cuts. This allows us to propose an efficient graphical test for predicting which Steinmann relations will be violated by massless Feynman integrals of a given topology, which can be applied at any loop order. We provide evidence for this test by correctly predicting all instances of Steinmann violation in the complete set of known two-loop integrals that contribute to five-particle scattering with one or two external masses.

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Cite

BibTeXRIS
BibTeX
@article{hannesdottir2026steinmann,
  title = {{Steinmann violation and minimal cuts}},
  author = {Holmfridur S. Hannesdottir and Luke Lippstreu and Andrew J. McLeod and Maria Polackova},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)088},
  url = {https://link.springer.com/10.1007/JHEP10(2026)088},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Steinmann violation and minimal cuts
AU  - Holmfridur S. Hannesdottir
AU  - Luke Lippstreu
AU  - Andrew J. McLeod
AU  - Maria Polackova
PY  - 2026
DA  - 2026/10/08
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)088
UR  - https://link.springer.com/10.1007/JHEP10(2026)088
AB  - A bstract : The Steinmann relations are known to be violated with respect to some — but not all — two-particle momentum channels in massless Feynman integrals. We trace the source of this Steinmann violation to a special class of singularities, which arise from partially-overlapping minimal cuts. This allows us to propose an efficient graphical test for predicting which Steinmann relations will be violated by massless Feynman integrals of a given topology, which can be applied at any loop order. We provide evidence for this test by correctly predicting all instances of Steinmann violation in the complete set of known two-loop integrals that contribute to five-particle scattering with one or two external masses.
SN  - 1029-8479
ER  -