Color-dressed recursive relations for multi-parton amplitudes
Claude Duhr, Stefan Hoeche, Fabio Maltoni
TL;DR
The authors extend twistor-inspired recursive relations to full QCD color by developing color-dressed Berends-Giele, BCF, and CSW formulations. They compare these approaches numerically and find that color-dressed Berends-Giele recursion is generally the most efficient for multi-gluon final states, while color-dressed BCF and CSW face challenges from top-down structure and vertex proliferation. The work demonstrates that incorporating color into these elegant recursions mitigates factorial growth and aligns with efficient color-flow and adjoint-basis strategies. These color-dressed frameworks open avenues for scalable multi-parton computations and potentially for loop-level extensions with analogous color decompositions.
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.