Color-kinematics duality, double copy and the unitarity method for higher-derivative QCD and quadratic gravity

Abstract

Here we discuss color-kinematics duality for higher-derivative QCD-like amplitudes. We explicitly show that the duality still holds in this case and it can be instrumental in constructing the associated quadratic-gravity amplitudes by using the double-copy prescription. This allows one to drastically simplify calculations. We also evaluate some tree-level Compton scattering amplitudes in higher-derivative Yang-Mills and quadratic gravity coupled with matter. Furthermore, we illustrate the application of generalized unitarity method for both cases by studying a specific one-loop amplitude.

arXiv comment42 pages, 3 figures. v3: Minor modifications throughout the text and abstract; discussion in the summary section was extended. Revised version as accepted by JHEP

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• Off-Shell Color-Kinematics Duality for Chern-Simons
• Amplitudes, Hopf algebras and the colour-kinematics duality
• Kinematic Hopf algebra for amplitudes and form factors
• Generalized unitarity method for unstable particles
• Quantum gravity phenomenology from the perspective of quantum general relativity and quadratic gravity
• The seeds of EFT double copy
• Leading singularities in higher-derivative Yang-Mills theory and quadratic gravity