Karlsruhe 2011 – wissenschaftliches Programm

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T: Fachverband Teilchenphysik

T 12: QCD (Theorie) / Quantenfeldtheorie

T 12.5: Vortrag

Freitag, 1. April 2011, 15:05–15:20, 30.23: 10-1

The Duality Method: A Cutting Relation between Loops and Trees — •Isabella Bierenbaum¹, Stefano Catani², Petros Draggiotis³, and Germán Rodrigo³ — ¹RWTH Aachen — ²INFN Florenz & Universität Florenz — ³IFIC Valencia

After the start of the LHC, theoretical predictions for scattering processes are needed with a large number of particles in the final state and to a very high precision. In perturbative QCD, the former leads to Feynman diagrams with a large number of external legs, while the latter corresponds to higher loop orders. Both requirements, especially when combined together, lead to an increasing complexity of the calculation. In the last years, various unitarity and recursive methods have been successfully used to address this issue and to calculate scattering amplitudes for multi-particle processes up to next-to-leading order (NLO).

In this talk, I will present the Duality Method. It provides a cutting relation between loop and tree Feynman diagrams. As a modified extension of Feynman's Tree Theorem, it allows at one-loop order to calculate scattering amplitudes by a sum of single-cut phase-space integrals which are similar to the corresponding real-radiation phase-space integrals. I will discuss this method and show how it can be extended to higher loop orders beyond NLO and by doing this, which boundary conditions for the results can be maintained at higher orders.