Color-kinematics duality for QCD amplitudes
By H. Johansson, Alexander Ochirov. 2015
168 citations recorded by the source corpus.
A bstractWe 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.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/30e05207ea7e8f108ca422e8074dd535fe378030
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In Nuclear and High Energy Physics
- Alexander Ochirov
- H. Johansson
- D. O’Connell
- R. Monteiro
- A. Luna
- Rafael A. Porto
- Chris D. White
- G. Kalin
Citations in the corpus
- The double copy: Bremsstrahlung and accelerating black holes (2016, unknown): “[40–54] for related studies).”
- Double copy for massive quantum particles with spin (2019, methodology): “This duality is present in many physically relevant gauge theories, such as pure Yang-Mills theory [15, 17–19], quantum chromodynamics (QCD) [20–22], Yang-Mills-Higgs models [23], and supersymmetric generalizations thereof [16, 20, 23–28].”