Multi-parton cross sections at hadron colliders

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 the Dyson–Schwinger equations, whereas the summation over col...

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Veröffentlicht in:The European physical journal. C, Particles and fields Particles and fields, 2007-05, Vol.50 (4), p.843-856
Hauptverfasser: Papadopoulos, C.G., Worek, M.
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description 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 the 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, the differential distributions of the invariant masses and the transverse momenta of the partons are presented and cross checked by explicit summation over colours.
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subjects Algorithms
Asymptotic methods
Computer simulation
Configuration management
Cross-sections
Feynman diagrams
Helicity
Monte Carlo simulation
Partons
title Multi-parton cross sections at hadron colliders
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