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Color-kinematics duality for QCD amplitudes
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics. CERN, Dept Phys, Div Theory, CH-1211 Geneva 23, Switzerland.;KTH Royal Inst Technol, Nordita, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden.;Stockholm Univ, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden..
Univ Edinburgh, Sch Phys & Astron, Higgs Ctr Theoret Phys, Edinburgh EH9 3JZ, Midlothian, Scotland..
2016 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 1, 170Article in journal (Refereed) PublishedText
Abstract [en]

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.

Place, publisher, year, edition, pages
2016. no 1, 170
Keyword [en]
Scattering Amplitudes, QCD, Gauge Symmetry
National Category
Subatomic Physics
URN: urn:nbn:se:uu:diva-279590DOI: 10.1007/JHEP01(2016)170ISI: 000369302400001OAI: oai:DiVA.org:uu-279590DiVA: diva2:908371
Swedish Research Council, 621-2014-5722Knut and Alice Wallenberg Foundation, KAW 2013.0235EU, FP7, Seventh Framework Programme, FP7-PEOPLE-2013-CIGEU, FP7, Seventh Framework Programme, PCOFUND-GA-2010-267194
Available from: 2016-03-02 Created: 2016-03-02 Last updated: 2016-03-02Bibliographically approved

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