PoS - Proceedings of Science
Volume 398 - The European Physical Society Conference on High Energy Physics (EPS-HEP2021) - T11: Quantum Field and String Theory
Four-loop scattering amplitudes journey into the forest
N.S. Ramírez Uribe*, S. Ramírez-Uribe, R.J. Hernández-Pinto, A.E. Rentería-Olivo, G. Rodrigo, G. Sborlini, W.J. Torres Bobadilla and L.V. Silva
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Abstract
We present an overview of the analysis of the multiloop topologies that appear for the first time at four loops and the assembly of them in a general expression, the N$^4$MLT universal topology. Based on the fact that the Loop-Tree Duality enables to open any scattering amplitude in terms of convolutions of known subtopologies, we go through the dual representation of the universal N$^4$MLT topology and the manifestly causal representation. Additionally, we expose the application of a quantum algorithm as an alternative methodology to identify the causal singular configurations of multiloop Feynman diagrams.
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