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arXiv · 1912.06695

Loop Amplitudes and Quantum Homotopy Algebras

Branislav Jurco·Tommaso Macrelli·Christian Saemann·Martin Wolf
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Abstract

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.

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Branislav Jurco, Tommaso Macrelli, Christian Saemann, Martin Wolf. 2019-12-13. Loop Amplitudes and Quantum Homotopy Algebras. https://doi.org/10.1007/jhep07(2020)003

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