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Report number	arXiv:1507.00332 ; CERN-PH-TH-2015-149 ; UUITP-13-15 ; NORDITA-2015-79 ; EDINBURGH-2015-11 ; CERN-PH-TH-2015-149 ; UUITP-13-15 ; NORDITA-2015-79 ; EDINBURGH 2015-11
Title	Color-Kinematics Duality for QCD Amplitudes
Author(s)	Johansson, Henrik (CERN ; Uppsala U. ; Nordita ; Royal Inst. Tech., Stockholm ; Stockholm U.) ; Ochirov, Alexander (U. Edinburgh, Higgs Ctr. Theor. Phys.)
Publication	2016-01-27
Imprint	01 Jul 2015
Number of pages	38
Note	Comments: 33 pages + refs, 7 figures, 4 tables 33 pages + refs, 7 figures, 4 tables; v3 minor corrections, journal version
In:	JHEP 01 (2016) 170
DOI	10.1007/JHEP01(2016)170
Subject category	Particle Physics - Phenomenology
Abstract	We show that color-kinematics duality is present in tree-level amplitudes of quantum chromodynamics with massive flavored quarks. Starting with the color structure of QCD, we work out a new color decomposition for n-point tree amplitudes in a reduced basis of primitive amplitudes. These primitives, with k quark-antiquark pairs and (n-2k) gluons, are taken in the (n-2)!/k! Melia basis, and are independent under the color-algebra Kleiss-Kuijf relations. This generalizes the color decomposition of Del Duca, Dixon, and Maltoni to an arbitrary number of quarks. The color coefficients in the new decomposition are given by compact expressions valid for arbitrary gauge group and representation. Considering the kinematic structure, we show through explicit calculations that color-kinematics duality holds for amplitudes with general configurations of gluons and massive quarks. The new (massive) amplitude relations that follow from the duality can be mapped to a well-defined subset of the familiar BCJ relations for gluons. They restrict the amplitude basis further down to (n-3)!(2k-2)/k! primitives, for two or more quark lines. We give a decomposition of the full amplitude in that basis. The presented results provide strong evidence that QCD obeys the color-kinematics duality, at least at tree level. The results are also applicable to supersymmetric and D-dimensional extensions of QCD.
Copyright/License	arXiv nonexclusive-distrib. 1.0 preprint: © 2015-2026 CERN (License: CC-BY-4.0) publication: © 2016-2026 The Author(s) (License: CC-BY-4.0), sponsored by SCOAP³

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