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Then

PhD thesis, Valencia U., 2015
Original
S. Buchta, Theoretical foundations and applications of the Loop-Tree Duality in Quantum Field Theories · 2015
Later among the works it cites.
A. von Manteuffel and R. M. Schabinger, A novel approach to integration by parts reduction , Phys. Lett. B 744
Original
2015
Later among the works it cites.
T. Ahmed, M. Bonvini, M. Kumar, P. Mathews, N. Rana, V. Ravindran et al., Pseudo-scalar Higgs boson production at N 3 LO A {}_{\text{A}} +N 3 LL ′
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R. J. Hernandez-Pinto, G. F. R. Sborlini and G. Rodrigo, Towards gauge theories in four dimensions , JHEP 02

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2020

Universal opening of four-loop scattering amplitudes to trees

Ramirez-Uribe, Selomit, Hernandez-Pinto, Roger J., Rodrigo, German et al.

Understand

The perturbative approach to quantum field theories has made it possible to obtain incredibly accurate theoretical predictions in high-energy physics.

Although various techniques have been developed to boost the efficiency of these calculations, some ingredients remain specially challenging.
This is the case of multiloop scattering amplitudes that constitute a hard bottleneck to solve.
In this paper, we delve into the application of a disruptive technique based on the loop-tree duality theorem, which is aimed at an efficient computation of such objects by opening the loops to nondisjoint trees.