Loop Amplitudes and Quantum Homotopy Algebras

Branislav Jurčo, Tommaso Macrelli, Christian Saemann, Martin Wolf

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19 Citations (Scopus)
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We derive a recursion relation for loop-level scattering amplitudes of Lagrangian field theories that generalises the tree-level Berends-Giele recursion relation in Yang-Mills theory. The origin of this recursion relation is the homological perturbation lemma, which allows us to compute scattering amplitudes from minimal models of quantum homotopy algebras in a recursive way. As an application of our techniques, we give an alternative proof of the relation between non-planar and planar colour-stripped scattering amplitudes.
Original languageEnglish
Article number3
JournalJournal of High Energy Physics
Issue number7
Publication statusPublished - 1 Jul 2020


  • hep-th
  • math-ph
  • math.MP


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