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Four-loop scattering amplitudes journey into the forest
S. Ram'irez-Uribe, R. Hern'andez-Pinto, Andr'es E. Renter'ia-Olivo, G. Rodrigo, G. Sborlini, W. J. T. Bobadilla, Luiz Vale Silva·October 20, 2021·DOI: 10.22323/1.398.0732
Physics
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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.