https://doi.org/10.1140/epjc/s10052-007-0246-2
Regular Article - Theoretical Physics
Multi-parton cross sections at hadron colliders
1
Institute of Nuclear Physics, NCSR Demokritos, 15310, Athens, Greece
2
Institute of Nuclear Physics, Polish Academy of Sciences, Radzikowskiego 152, 31-3420, Krakow, Poland
* e-mail: malgorzata.worek@desy.de
Received:
27
February
2006
Revised:
20
October
2006
Published online:
13
March
2007
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.
© Springer-Verlag Berlin Heidelberg, 2007
