The loop-tree duality at NLO and beyond

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• 作者：Sebastian Buchta^a ; Grigorios Chachamis^a ; Ioannis Malamos^a ; Isabella Bierenbaum^b ; ^c ; Petros Draggiotis^d ; Germá ; n Rodrigo^a ; ¹
• 关键词：LHC ; perturbative QCD
• 刊名：Nuclear and Particle Physics Proceedings
• 出版年：2016
• 出版时间：April-June 2016
• 年：2016
• 卷：273-275
• 期：Complete
• 页码：2009-2014
• 全文大小：235 K

文摘

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.