@Article{Aguilera-Verdugo_etal2019, author="Aguilera-Verdugo, J. J. and Driencourt-Mangin, F. and Plenter, J. and Ramirez-Uribe, S. and Rodrigo, G. and Sborlini, G. F. R. and Torres Bobadilla, W. J. and Tracz, S.", title="Causality, unitarity thresholds, anomalous thresholds and infrared singularities from the loop-tree duality at higher orders", journal="Journal of High Energy Physics", year="2019", publisher="Springer", volume="12", number="12", pages="163 - 12pp", optkeywords="Duality in Gauge Field Theories; Perturbative QCD; Scattering Amplitudes", abstract="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.", optnote="WOS:000513535500003", optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=4288), last updated on Tue, 03 Mar 2020 14:59:40 +0000", issn="1029-8479", doi="10.1007/JHEP12(2019)163", opturl="https://arxiv.org/abs/1904.08389", opturl="https://doi.org/10.1007/JHEP12(2019)163", language="English" }