Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-12-12
Eur.Phys.J.C50:843-856,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
LaTeX, 26 pages, 12 figures, 6 tables
Scientific paper
10.1140/epjc/s10052-007-0246-2
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 3^n, 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.
Papadopoulos Costas G.
Worek Malgorzata
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