TY  - JOUR
AU  - Aguilera-Verdugo, J. J.
AU  - Driencourt-Mangin, F.
AU  - Hernandez-Pinto, R. J.
AU  - Plenter, J.
AU  - Ramirez-Uribe, S.
AU  - Renteria-Olivo, A. E.
AU  - Rodrigo, G.
AU  - Sborlini, G. F. R.
AU  - Torres Bobadilla, W. J.
AU  - Tracz, S.
PY  - 2020
DA  - 2020//
TI  - Open Loop Amplitudes and Causality to All Orders and Powers from the Loop-Tree Duality
T2  - Phys. Rev. Lett.
JO  - Physical Review Letters
SP  - 211602
EP  - 6pp
VL  - 124
IS  - 21
PB  - Amer Physical Soc
AB  - Multiloop scattering amplitudes describing the quantum fluctuations at high-energy scattering processes are the main bottleneck in perturbative quantum field theory. The loop-tree duality is a novel method aimed at overcoming this bottleneck by opening the loop amplitudes into trees and combining them at integrand level with the real-emission matrix elements. In this Letter, we generalize the loop-tree duality to all orders in the perturbative expansion by using the complex Lorentz-covariant prescription of the original one-loop formulation. We introduce a series of mutiloop topologies with arbitrary internal configurations and derive very compact and factorizable expressions of their open-to-trees representation in the loop-tree duality formalism. Furthermore, these expressions are entirely independent at integrand level of the initial assignments of momentum flows in the Feynman representation and remarkably free of noncausal singularities. These properties, that we conjecture to hold to other topologies at all orders, provide integrand representations of scattering amplitudes that exhibit manifest causal singular structures and better numerical stability than in other representations.
SN  - 0031-9007
UR  - https://arxiv.org/abs/2001.03564
UR  - https://doi.org/10.1103/PhysRevLett.124.211602
DO  - 10.1103/PhysRevLett.124.211602
LA  - English
N1  - WOS:000535862200003
ID  - Aguilera-Verdugo_etal2020
ER  -