%0 Journal Article
%T Causality, unitarity thresholds, anomalous thresholds and infrared singularities from the loop-tree duality at higher orders
%A Aguilera-Verdugo, J. J.
%A Driencourt-Mangin, F.
%A Plenter, J.
%A Ramirez-Uribe, S.
%A Rodrigo, G.
%A Sborlini, G. F. R.
%A Torres Bobadilla, W. J.
%A Tracz, S.
%J Journal of High Energy Physics
%D 2019
%V 12
%N 12
%I Springer
%@ 1029-8479
%G English
%F Aguilera-Verdugo_etal2019
%O WOS:000513535500003
%O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=4288), last updated on Tue, 03 Mar 2020 14:59:40 +0000
%X We present the first comprehensive analysis of the unitarity thresholds and anomalous thresholds of scattering amplitudes at two loops and beyond based on the loop- tree duality, and show how non-causal unphysical thresholds are locally cancelled in an efficient way when the forest of all the dual on-shell cuts is considered as one. We also prove that soft and collinear singularities at two loops and beyond are restricted to a compact region of the loop three-momenta, which is a necessary condition for implementing a local cancellation of loop infrared singularities with the ones appearing in real emission; without relying on a subtraction formalism.
%K Duality in Gauge Field Theories
%K Perturbative QCD
%K Scattering Amplitudes
%R 10.1007/JHEP12(2019)163
%U https://arxiv.org/abs/1904.08389
%U https://doi.org/10.1007/JHEP12(2019)163
%P 163 - 12pp