Four-loop scattering amplitudes journey into the forest

Selomit Ramírez-Uribe; Roger J. Hernández-Pinto; Andrés E. Rentería-Olivo; Germán Rodrigo; German F. R. Sborlini; William J. Torres Bobadilla; Luiz Vale Silva

arXiv · 2110.10605

Four-loop scattering amplitudes journey into the forest

Selomit Ramírez-Uribe·Roger J. Hernández-Pinto·Andrés E. Rentería-Olivo·Germán Rodrigo·German F. R. Sborlini·William J. Torres Bobadilla·Luiz Vale 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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Selomit Ramírez-Uribe, Roger J. Hernández-Pinto, Andrés E. Rentería-Olivo, Germán Rodrigo, German F. R. Sborlini, William J. Torres Bobadilla, Luiz Vale Silva. 2021-10-20. Four-loop scattering amplitudes journey into the forest. https://arxiv.org/abs/2110.10605

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