2005/12/31 by C.G. Papadopoulos, Costas G. Papadopoulos, M. Worek +1 · 3 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1140/epjc/s10052-007-0246-2
published as Eur.Phys.J.C50:843-856,2007 · LaTeX, 26 pages, 12 figures, 6 tables
arxiv created 2007/02/03 · openalex publication_date 2007/03/12 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We present an alternative method to calculate cross sections for multi-parton scattering processes in the Standard Model at leading order. The helicity amplitudes are computed using recursion relations in the number of particles, based on Dyson-Schwinger equations whereas the summation over colour and helicity configurations is performed by Monte Carlo methods. The computational cost of our algorithm grows asymptotically as 3n, where n is the number of particles involved in the process, as opposed to the n!-growth of the Feynman diagram approach. Typical results for the total cross section, differential distributions of invariant masses and transverse momenta of partons are presented and cross checked by explicit summation over colours.