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arXiv · 2308.05705

Loop Amplitudes in the Coulomb Branch of $\mathcal{N}=4$ Super-Yang-Mills Theory

Md. Abhishek·Subramanya Hegde·Dileep P. Jatkar·Arnab Priya Saha·Amit Suthar
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Abstract

We study four point planar loop amplitudes at an arbitrary point in the Coulomb branch of $\mathcal{N}=4$ super-Yang-Mills theory. We study two particle unitary cuts up to four loop order. We explicitly verify that bubble and triangle graphs do not contribute at one loop level and show that the results hold at higher loop level as well. We also write down an all loop recursion relation for two particle reducible graphs for four point amplitudes.

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Md. Abhishek, Subramanya Hegde, Dileep P. Jatkar, Arnab Priya Saha, Amit Suthar. 2023-08-10. Loop Amplitudes in the Coulomb Branch of $\mathcal{N}=4$ Super-Yang-Mills Theory. https://doi.org/10.1007/jhep03(2024)143

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