The European Physical Journal C

, Volume 50, Issue 4, pp 843–856 | Cite as

Multi-parton cross sections at hadron colliders

Regular Article - Theoretical Physics

Abstract

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.

Keywords

Total Cross Section Hadron Collider Parton Shower Transverse Momentum Distribution Maximally Helicity Violate 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  1. 1.Institute of Nuclear PhysicsNCSR DemokritosAthensGreece
  2. 2.Institute of Nuclear PhysicsPolish Academy of SciencesKrakowPoland

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