A new gauge-invariant double copy for heavy-mass effective theory

Abstract

We propose a new form of the colour-kinematics/double-copy duality for heavy-mass effective field theories, which we apply to construct compact expressions for tree amplitudes with heavy matter particles in Yang-Mills and in gravity to leading order in the mass. In this set-up, the new BCJ numerators are fixed uniquely and directly written in terms of field strengths, making gauge invariance manifest. Furthermore, they are local and automatically satisfy the Jacobi relations and crossing symmetry. We construct these BCJ numerators explicitly up to six particles. We also discuss relations of the BCJ numerators in the heavy-mass effective theory with those in pure Yang-Mills amplitudes.

28 pages. v2: typos corrected, references added, JHEP version

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Cited by in corpus (39)

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• The Sub-Leading Scattering Waveform from Amplitudes
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• Resummed spinning waveforms from five-point amplitudes
• Covariant Color-Kinematics Duality
• Kinematic Hopf Algebra for BCJ Numerators in Heavy-Mass Effective Field Theory and Yang-Mills Theory
• Linear Response, Hamiltonian and Radiative Spinning Two-Body Dynamics
• Classical Spin Gravitational Compton Scattering
• Generalizations of the Double-Copy: the KLT Bootstrap
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• Geodesics From Classical Double Copy
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• Kinematic Hopf algebra for amplitudes and form factors
• Classical and quantum gravitational scattering with Generalized Wilson Lines
• Spinning Black Hole Scattering at $\mathcal{O}(G^3{S}^2)$: Casimir Terms, Radial Action and Hidden Symmetry
• Binary Dynamics from Worldline QFT for Scalar-QED
• Large Gauge Effects and the Structure of Amplitudes
• Color-kinematics duality, double copy and the unitarity method for higher-derivative QCD and quadratic gravity
• Double Copy of Form Factors and Higgs Amplitudes: A mechanism of turning spurious poles in Yang-Mills into physical poles in gravity
• Covariant color-kinematics duality, Hopf algebras and permutohedra
• Higher-order tails and RG flows due to scattering of gravitational radiation from binary inspirals
• The gravitational Compton amplitude from flat and curved spacetimes at second post-Minkowskian order
• Color-Kinematic Numerators for Fermion Compton Amplitudes
• Double copy for tree-level form factors. Part II. Generalizations and special topics
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• Classical gravitational scattering from a gauge-invariant double copy
• Yang-Mills observables: from KMOC to eikonal through EFT
• The Radial Action from Probe Amplitudes to All Orders
• Leading singularities in higher-derivative Yang-Mills theory and quadratic gravity
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