Abstract
We derive a recursion relation for loop-level scattering amplitudes of La- grangian 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.
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Jurčo, B., Macrelli, T., Sämann, C. et al. Loop Amplitudes and Quantum Homotopy Algebras. J. High Energ. Phys. 2020, 3 (2020). https://doi.org/10.1007/JHEP07(2020)003
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DOI: https://doi.org/10.1007/JHEP07(2020)003