PT Journal
AU Aguilera-Verdugo, JJ
   Driencourt-Mangin, F
   Plenter, J
   Ramirez-Uribe, S
   Rodrigo, G
   Sborlini, GFR
   Torres Bobadilla, WJ
   Tracz, S
TI Causality, unitarity thresholds, anomalous thresholds and infrared singularities from the loop-tree duality at higher orders
SO Journal of High Energy Physics
JI J. High Energy Phys.
PY 2019
BP 163 - 12pp
VL 12
IS 12
DI 10.1007/JHEP12(2019)163
LA English
DE Duality in Gauge Field Theories; Perturbative QCD; Scattering Amplitudes
AB 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.
ER