Gravitational Radiation from Color-Kinematics Duality

Abstract

We perturbatively calculate classical radiation in Yang-Mills theory and dilaton gravity, to next-to-leading order in couplings. The radiation is sourced by the scattering of two relativistic massive scalar sources with the dynamical effect taken into account, corresponding to the post-Minkowskian regime in gravity. We show how to arrange the Yang-Mills radiation such that the duality between colors and kinematics is manifest, including the three-term Jacobi identity. The search for duality-satisfying expressions exploits an auxiliary bi-adjoint scalar theory as a guide for locality. The double copy is obtained by replacing the color factors in Yang-Mills with kinematic counterparts, following Bern-Carrasco-Johansson construction in S- matrix. On the gravity side, the radiation is directly computed at the third post-Minkowskian order with massive sources. We find perfect agreement between observables in dilaton gravity and the Yang-Mills double copy. This non-trivially generalizes the leading-order rules by Goldberger and Ridgway. For the first time, the kinematic Jacobi identity appears beyond field-theory S-matrix, suggesting that the color-kinematics duality holds more generally. Our results offer a path for simplifying analytical calculations in post-Minkowskian regime.

arXiv comment3 figures, 3 tables, and 7 ancillary files; comments are welcomed; v2: references added, typos fixed, one more figure is included

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Cited by in corpus (103)

• Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
• Amplitudes, Observables, and Classical Scattering
• Black Hole Binary Dynamics from the Double Copy and Effective Theory
• Scattering of Spinning Black Holes from Exponentiated Soft Factors
• Post-Minkowskian Effective Field Theory for Conservative Binary Dynamics
• Effective Field Theories of Post-Newtonian Gravity: A comprehensive review
• Classical black hole scattering from a worldline quantum field theory
• Scattering Amplitudes and Conservative Binary Dynamics at $\mathcal{O}(G^4)$
• Spinning Black Hole Binary Dynamics, Scattering Amplitudes and Effective Field Theory
• The simplest massive S-matrix: from minimal coupling to Black Holes
• Black-hole scattering with general spin directions from minimal-coupling amplitudes
• Gravitational Bremsstrahlung from Reverse Unitarity
• Spinning-black-hole scattering and the test-black-hole limit at second post-Minkowskian order
• Double copy for massive quantum particles with spin
• Gravitational Bremsstrahlung and Hidden Supersymmetry of Spinning Bodies
• Type D Spacetimes and the Weyl Double Copy
• SUSY in the Sky with Gravitons
• Tidal Effects in the Post-Minkowskian Expansion
• The self-dual classical double copy, and the Eguchi-Hanson instanton
• Complete Hamiltonian for spinning binary systems at first post-Minkowskian order
• One-loop Gravitational Bremsstrahlung and Waveforms from a Heavy-Mass Effective Field Theory
• Five-Loop Static Contribution to the Gravitational Interaction Potential of Two Point Masses
• A Twistorial Foundation for the Classical Double Copy
• Effective action of dilaton gravity as the classical double copy of Yang-Mills theory
• A worldsheet for Kerr
• Radiated Angular Momentum and Dissipative Effects in Classical Scattering
• Conservative Binary Dynamics with a Spinning Black Hole at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• Double Copy from Homotopy Algebras
• Topology and Wilson lines: global aspects of the double copy
• The classical double copy of non-singular black holes
• Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
• Mining the Geodesic Equation for Scattering Data
• Resummed spinning waveforms from five-point amplitudes
• The Classical Double Copy of a Point Charge
• Breakdown of the classical double copy for the effective action of dilaton-gravity at NNLO
• Classical Yang-Mills observables from amplitudes
• The pure BRST Einstein-Hilbert Lagrangian from the double-copy to cubic order
• The double copy for heavy particles
• Classical and quantum double copy of back-reaction
• On the Double Copy for Spinning Matter
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• Off-Shell Color-Kinematics Duality for Chern-Simons
• Classical Sub-subleading Soft Photon and Soft Graviton Theorems in Four Spacetime Dimensions
• Monopoles, shockwaves and the classical double copy
• Classical Double Copy of Worldline Quantum Field Theory
• Biadjoint wires
• Strings, extended objects, and the classical double copy
• New heavenly double copies
• Massive Gravity from Double Copy
• The Double Copy of Massive Scalar-QCD
• Asymptotic Weyl Double Copy
• Generalizations of the Double-Copy: the KLT Bootstrap
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• Gauge invariant double copy of Yang-Mills theory: the quartic theory
• Kerr-Schild Double Copy of the Coulomb Solution in Three Dimensions
• The Off-Shell Recursion for Gravity and the Classical Double Copy for currents
• Efficient Calculation of Crossing Symmetric BCJ Tree Numerators
• Scattering Amplitudes and the Double Copy in Topologically Massive Theories
• Asymptotic dynamics on the worldline for spinning particles
• On the Lagrangian formulation of the double copy to cubic order
• Classical double copy from Color Kinematics duality: A proof in the soft limit
• Why is the Weyl double copy local in position space?
• Gauge $\times$ Gauge on Spheres
• Light-ray operators, detectors and gravitational event shapes
• Soft Radiation from Scattering Amplitudes Revisited
• Isometries and the double copy
• Geodesics From Classical Double Copy
• Shift symmetries, soft limits, and the double copy beyond leading order
• The Classical Double Copy for M-theory from a Kerr-Schild Ansatz for Exceptional Field Theory
• More on the Classical Double Copy in Three Spacetime Dimensions
• Classical Double Copy of Spinning Worldline Quantum Field Theory
• Kaluza-Klein from Colour-Kinematics Duality for Massive Fields
• Spinor-helicity and the algebraic classification of higher-dimensional spacetimes
• Classical Gravitational Self-Energy from Double Copy
• Classical off-shell currents
• Classical and quantum gravitational scattering with Generalized Wilson Lines
• Generalized Black Holes in 3D Kerr-Schild Double Copy
• Gluon helicity flip in a plane wave background
• The Classical Double Copy for Half-Maximal Supergravities and T-duality
• Extracting Einstein from the Loop-Level Double-Copy
• The classical double copy in curved spacetimes: Perturbative Yang-Mills from the bi-adjoint scalar
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• Worldline description of a bi-adjoint scalar and the zeroth copy
• Effective observables for electromagnetic duality from novel amplitude decomposition
• A scattering amplitudes approach to hard thermal loops
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• Waveforms from Amplitudes
• Next-to-MHV Yang-Mills kinematic algebra
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• Weyl double copy in type D spacetime in four and five dimensions
• The origin of the KLT relations and nonlinear relations for Yang-Mills amplitudes
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