On the Double Copy for Spinning Matter

Abstract

We explore various tree-level double copy constructions for amplitudes including massive particles with spin. By working in general dimensions, we use that particles with spins $s\le 2$ are fundamental to argue that the corresponding double copy relations partially follow from compactification of their massless counterparts. This massless origin fixes the coupling of gluons, dilatons and axions to matter in a characteristic way (for instance fixing the gyromagnetic ratio), whereas the graviton couples universally reflecting the equivalence principle. For spin-1 matter we conjecture all-order Lagrangians reproducing the interactions with up to two massive lines and we test them in a classical setup, where the massive lines represent spinning compact objects such as black holes. We also test the amplitudes via CHY formulae for both bosonic and fermionic integrands. At five points, we show that by applying generalized gauge transformations one can obtain a smooth transition from quantum to classical BCJ double copy relations for radiation, thereby providing a QFT derivation for the latter. As an application, we show how the theory arising in the classical double copy of Goldberger and Ridgway can be naturally identified with a certain compactification of $\mathcal{N}=4$ Supergravity.

42 + 14 pages v2: Journal version, clarifications added in Lagrangian discussion

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• Compton Black-Hole Scattering for $s\le 5/2$
• Conservative Binary Dynamics with a Spinning Black Hole at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• A new gauge-invariant double copy for heavy-mass effective theory
• Topology and Wilson lines: global aspects of the double copy
• Test black holes, scattering amplitudes and perturbations of Kerr spacetime
• Off-Shell Color-Kinematics Duality for Chern-Simons
• Generalizations of the Double-Copy: the KLT Bootstrap
• Classical Limit of Higher-Spin String Amplitudes
• Kerr-Schild Double Copy of the Coulomb Solution in Three Dimensions
• Scattering of gravitational waves off spinning compact objects with an effective worldline theory
• Chiral approach to massive higher spins
• Black Holes in Klein Space
• Graviton particle statistics and coherent states from classical scattering amplitudes
• Angular Momentum Loss Due to Tidal Effects in the Post-Minkowskian Expansion
• Soft Radiation from Scattering Amplitudes Revisited
• Classical Double Copy of Spinning Worldline Quantum Field Theory
• Post-Newtonian Waveforms from Spinning Scattering Amplitudes
• Kaluza-Klein from Colour-Kinematics Duality for Massive Fields
• Generalized Black Holes in 3D Kerr-Schild Double Copy
• The classical double copy in curved spacetimes: Perturbative Yang-Mills from the bi-adjoint scalar
• Note on the asymptotic structure of Kerr-Schild form
• Next-to-MHV Yang-Mills kinematic algebra
• The Weyl double copy from twistor space