Breakdown of the classical double copy for the effective action of dilaton-gravity at NNLO

Abstract

We demonstrate that a recently proposed classical double copy procedure to construct the effective action of two massive particles in dilaton-gravity from the analogous problem of two color charged particles in Yang-Mills gauge theory fails at next-to-next-to-leading orders in the post-Minkowskian (3PM) or post-Newtonian (2PN) expansions.

arXiv commentv3: typos fixed, version published in PRD

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• Sixth post-Newtonian local-in-time dynamics of binary systems
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• A Twistorial Foundation for the Classical Double Copy
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• The pure BRST Einstein-Hilbert Lagrangian from the double-copy to cubic order
• Weyl doubling
• The double copy for heavy particles
• On the Double Copy for Spinning Matter
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• Classical Double Copy of Worldline Quantum Field Theory
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• Gravitational shock waves and scattering amplitudes
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• New heavenly double copies
• The Double Copy of Massive Scalar-QCD
• Asymptotic Weyl Double Copy
• Kerr-Schild Double Copy of the Coulomb Solution in Three Dimensions
• Scattering Amplitudes and the Double Copy in Topologically Massive Theories
• Asymptotic dynamics on the worldline for spinning particles
• Classical double copy from Color Kinematics duality: A proof in the soft limit
• Light-ray operators, detectors and gravitational event shapes
• Geodesics From Classical Double Copy
• Gauge $\times$ Gauge on Spheres
• Classical Double Copy of Spinning Worldline Quantum Field Theory
• New self-consistent effective one-body theory for spinless binaries based on the post-Minkowskian approximation
• Self-consistent effective-one-body theory for spinning binaries based on post-Minkowskian approximation
• Generalized Black Holes in 3D Kerr-Schild Double Copy
• Waveforms from Amplitudes
• Next-to-MHV Yang-Mills kinematic algebra
• Energy flux and waveform of gravitational wave generated by coalescing slow-spinning binary system in effective one-body theory
• The Weyl double copy from twistor space
• Yang-Mills observables: from KMOC to eikonal through EFT
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• On-Shell Perspectives on the Massless Limit of Massive Supergravity
• NS-NS Spacetimes from Amplitudes