Color-dressed recursive relations for multi-parton amplitudes

Abstract

Remarkable progress inspired by twistors has lead to very simple analytic expressions and to new recursive relations for multi-parton color-ordered amplitudes. We show how such relations can be extended to include color and present the corresponding color-dressed formulation for the Berends-Giele, BCF and a new kind of CSW recursive relations. A detailed comparison of the numerical efficiency of the different approaches to the calculation of multi-parton cross sections is performed.

31 pages, 4 figures, 6 tables

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• Lectures on Twistor Strings and Perturbative Yang-Mills Theory
• A comparison of efficient methods for the computation of Born gluon amplitudes
• Seven parton amplitudes from recursion relations

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