0000000000319818

AUTHOR

Ioannis Malamos

showing 3 related works from this author

Tree-Loop Duality Relation beyond simple poles

2013

We develop the Tree-Loop Duality Relation for two- and three-loop integrals with multiple identical propagators (multiple poles). This is the extension of the Duality Relation for single poles and multi-loop integrals derived in previous publications. We prove a generalization of the formula for single poles to multiple poles and we develop a strategy for dealing with higher-order pole integrals by reducing them to single pole integrals using Integration By Parts.

PhysicsHigh Energy Physics - TheoryNuclear and High Energy PhysicsPure mathematics010308 nuclear & particles physicsGeneralizationPropagatorDuality (optimization)FísicaFOS: Physical sciencesExtension (predicate logic)QCD Phenomenology01 natural sciencesDuality relationLoop (topology)Theoretical physicsHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)NLO Computations0103 physical sciencesIntegration by partsddc:530Tree (set theory)010306 general physics
researchProduct

The loop-tree duality at work

2014

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.

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 physicsProceedings of Loops and Legs in Quantum Field Theory — PoS(LL2014)
researchProduct

On the singular behaviour of scattering amplitudes in quantum field theory

2014

We analyse the singular behaviour of one-loop integrals and scattering amplitudes in the framework of the loop--tree duality approach. We show that there is a partial cancellation of singularities at the loop integrand level among the different components of the corresponding dual representation that can be interpreted in terms of causality. 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.

PhysicsNuclear and High Energy PhysicsParticle physicsFOS: Physical sciencesDuality (optimization)FísicaPosition and momentum spaceDual representationScattering amplitudeCausality (physics)Loop (topology)High Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Gravitational singularityQuantum field theoryMathematical physics
researchProduct