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

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arxiv 2112.00978 v3 pith:UHZAQN3S submitted 2021-12-02 hep-th gr-qchep-ph

classification hep-thgr-qchep-ph
keywords amplitudesdualityhigher-derivativecolor-kinematicsgravitymethodquadraticunitarity
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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  1. Gleaning gravitational amplitudes -- a double copy for canceling dilatons

    hep-th 2025-01 conditional novelty 7.0 of 10

    An asymmetric double copy with a ghost-like sqrt-dilaton cancels dilaton contaminations in tree-level GR amplitudes with massive scalars up to six points, leaving a residual bubble ambiguity at one loop.

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