We review the recent developments of the loop-tree duality method, focussing our discussion on analysing the singular behaviour of the loop integrand of the dual representation of one-loop integrals and scattering amplitudes. We show that within the loop-tree duality method there is a partial cancellation of singularities at the integrand level among the different components of the corresponding dual representation. The remaining threshold and infrared singularities are restricted to a finite region of the loop momentum space, which is of the size of the external momenta and can be mapped to the phase-space of real corrections to cancel the soft and collinear divergences.
@article{arxiv.1407.5865,
title = {The loop-tree duality at work},
author = {Sebastian Buchta and Grigorios Chachamis and Ioannis Malamos and Isabella Bierenbaum and Petros Draggiotis and German Rodrigo},
journal= {arXiv preprint arXiv:1407.5865},
year = {2014}
}
Comments
8 pages 3 figures, Proceedings of Loops and Legs in Quantum Field Theory, 27 April 2014 - 02 May 2014, Weimar, Germany