Theoretical foundations and applications of the Loop-Tree Duality in Quantum Field Theories

Understand

The Loop-Tree Duality (LTD) is a novel perturbative method in QFT that establishes a relation between loop-level and tree-level scattering amplitudes.

• This is achieved by directly applying the Residue Theorem to the loop-energy-integration.
• The result is a sum over all possible single cuts of the Feynman diagram in consideration integrated over a modified phase space.
• These single-cut integrals, called Dual contributions, are in fact tree-level objects and thus give rise to the opportunity of bringing loop- and tree-contributions together, treating them simultaneously in a common Monte Carlo event generator.