Double copy for massive quantum particles with spin

Abstract

The duality between color and kinematics was originally observed for purely adjoint massless gauge theories, and later found to hold even after introducing massive fermionic and scalar matter in arbitrary gauge-group representations. Such a generalization was critical for obtaining both loop amplitudes in pure Einstein gravity and realistic gravitational matter from the double copy. In this paper we elaborate on the double copy that yields amplitudes in gravitational theories coupled to flavored massive matter with spin, which is relevant to the problems of black-hole scattering and gravitational waves. Our construction benefits from making the little group explicit for the massive particles, as shown on lower-point examples. For concreteness, we focus on the double copy of QCD with massive quarks, for which we work out the gravitational Lagrangian up to quartic scalar and vector-scalar couplings. We find new gauge-invariant double-copy formulae for tree-level amplitudes with two distinct-flavor pairs of matter and any number of gravitons. These are similar to, but inherently different from, the well-known Kawai-Lewellen-Tye formulae, since the latter only hold for the double copy of purely adjoint gauge theories.

arXiv comment33 pages + appendices + refs, 2 ancillary files; v2 minor corrections, journal version

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Cited by in corpus (92)

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• Scattering Amplitudes and Conservative Binary Dynamics at $\mathcal{O}(G^4)$
• From Boundary Data to Bound States
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• Compton Black-Hole Scattering for $s\le 5/2$
• Classical potential for general spinning bodies
• A worldsheet for Kerr
• The 2PM Hamiltonian for binary Kerr to quartic in spin
• A new gauge-invariant double copy for heavy-mass effective theory
• Double Copy from Homotopy Algebras
• Topology and Wilson lines: global aspects of the double copy
• Classical observables from coherent-spin amplitudes
• Resummed spinning waveforms from five-point amplitudes
• The Classical Double Copy of a Point Charge
• Test black holes, scattering amplitudes and perturbations of Kerr spacetime
• The pure BRST Einstein-Hilbert Lagrangian from the double-copy to cubic order
• The double copy for heavy particles
• Weyl doubling
• On the Double Copy for Spinning Matter
• Kerr-Newman from Minimal Coupling
• Off-Shell Color-Kinematics Duality for Chern-Simons
• Monopoles, shockwaves and the classical double copy
• Gravitational shock waves and scattering amplitudes
• Simple encoding of higher derivative gauge and gravity counterterms
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• New heavenly double copies
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• Classical Spin Gravitational Compton Scattering
• Classical Limit of Higher-Spin String Amplitudes
• Loop-Level Double-Copy for Massive Quantum Particles
• Scattering Amplitudes and the Double Copy in Topologically Massive Theories
• Scattering of gravitational waves off spinning compact objects with an effective worldline theory
• Efficient Calculation of Crossing Symmetric BCJ Tree Numerators
• Chiral approach to massive higher spins
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