From Five-Loop Scattering Amplitudes to Open Trees with the Loop-Tree Duality

Characterizing multiloop topologies is an important step towards developing novel methods at high perturbative orders in quantum field theory. In this article, we exploit the Loop-Tree Duality (LTD) formalism to analyse that appear for first time five loops. Explicitly, open loops into connected trees and group them according their topological properties. Then, identify a kernel generator, so-called N7MLT universal topology, allows us describe any scattering amplitude of up Furthermore, provide factorization recursion relations enable write these terms simpler subtopologies, including several subsets Feynman diagrams with arbitrary number Our approach takes advantage many symmetries present graphical description original fundamental five-loop topologies. The results obtained article might shed light more efficient determination higher-order corrections running couplings, which are crucial current future precision physics program.