Multi-Particle Processes in QCD without Feynman Diagrams

Details Multi-Particle Processes in QCD without Feynman Diagrams Multi-Particle Processes in QCD without Feynman Diagrams

2005-08-29

arxiv.org/abs/hep-ph/0508291v1

Nucl.Instrum.Meth. A559 (2006) 278-281

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, 3 figures. Presented at the X International Workshop on Advanced Computing and Analysis Techniques in Physics Researc

Scientific paper

10.1016/j.nima.2005.11.154

A way to efficiently compute helicity amplitudes for arbitrary tree-level scattering processes in QCD is presented. The scattering amplitude is evaluated recursively through a set of Dyson-Schwinger equations. The computational cost of this algorithm grows asymptotically as 3^n, where n is the number of particles involved in the process, compared to n! in the traditional Feynman graphs approach. Unitary gauge is used and mass effects are available as well. Additionally,the color and helicity structures are appropriately transformed so the usual summation is replaced by the Monte Carlo techniques.

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