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arXiv · 1407.5865

The loop-tree duality at work

Sebastian Buchta·Grigorios Chachamis·Ioannis Malamos·Isabella Bierenbaum·Petros Draggiotis·German Rodrigo
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Abstract

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.

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Sebastian Buchta, Grigorios Chachamis, Ioannis Malamos, Isabella Bierenbaum, Petros Draggiotis, German Rodrigo. 2014-07-22. The loop-tree duality at work. https://arxiv.org/abs/1407.5865

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