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2015

Proof of a new colour decomposition for QCD amplitudes

Melia, Tom

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Recently, Johansson and Ochirov conjectured the form of a new colour decomposition for QCD tree-level amplitudes.

This note provides a proof of that conjecture.
The proof is based on "Mario World" Feynman diagrams, which exhibit the hierarchical Dyck structure previously found to be very useful when dealing with multi-quark amplitudes.

Proof of a new colour decomposition for QCD amplitudes · Around

Built on

F. A. Berends and W. Giele, The Six Gluon Process as an Example of Weyl-Van Der Waerden Spinor Calculus
1987
Earlier work this paper cites.
M. L. Mangano, S. J. Parke, and Z. Xu, Duality and Multi - Gluon Scattering
1988
Earlier work this paper cites.
M. L. Mangano, The Color Structure of Gluon Emission
1988
Earlier work this paper cites.
R. Kleiss and H. Kuijf, Multi - Gluon Cross-sections and Five Jet Production at Hadron Colliders
1989
Earlier work this paper cites.
Z. Bern, L. J. Dixon, and D. A. Kosower, One loop corrections to two quark three gluon amplitudes
1995
Earlier work this paper cites.

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Then

T. Melia, Dyck words and multiquark primitive amplitudes
Original
2013
Later among the works it cites.
T. Melia, Dyck words and multi-quark amplitudes
2013
Later among the works it cites.
C. Reuschle and S. Weinzierl, Decomposition of one-loop QCD amplitudes into primitive amplitudes based on shuffle relations
Original
2013
Later among the works it cites.
T. Melia, Getting more flavor out of one-flavor QCD
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2014
Later among the works it cites.

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