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RESEARCH PRODUCT
The loop-tree duality at work
Petros DraggiotisIsabella BierenbaumSebastian BuchtaGrigorios ChachamisIoannis MalamosGerman Rodrigosubject
PhysicsWork (thermodynamics)010308 nuclear & particles physicsFOS: Physical sciencesDuality (optimization)Position and momentum spaceDual representation01 natural sciencesScattering amplitudeLoop (topology)High Energy Physics - PhenomenologyTree (descriptive set theory)High Energy Physics - Phenomenology (hep-ph)0103 physical sciencesGravitational singularity010303 astronomy & astrophysicsMathematical physicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-08-20 | Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2014) |