Inelastic Black Hole Scattering from Charged Scalar Amplitudes

Abstract

We explain how the lowest-order classical gravitational radiation produced during the inelastic scattering of two Schwarzschild black holes in General Relativity can be obtained from a tree scattering amplitude in gauge theory coupled to scalar fields. The gauge calculation is related to gravity through the double copy. We remove unwanted scalar forces which can occur in the double copy by introducing a massless scalar in the gauge theory, which is treated as a ghost in the link to gravity. We hope these methods are a step towards a direct application of the double copy at higher orders in classical perturbation theory, with the potential to greatly streamline gravity calculations for phenomenological applications.

28 pages, 6 figures

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Cited by in corpus (110)

• Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
• Amplitudes, Observables, and Classical Scattering
• Scattering of Spinning Black Holes from Exponentiated Soft Factors
• Effective Field Theories of Post-Newtonian Gravity: A comprehensive review
• Classical black hole scattering from a worldline quantum field theory
• Observables and amplitudes for spinning particles and black holes
• Classical Gravitational Bremsstrahlung from a Worldline Quantum Field Theory
• The Eikonal Approach to Gravitational Scattering and Radiation at $\mathcal{O}(G^3)$
• 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 Radiation from Color-Kinematics Duality
• Gravitational Bremsstrahlung in the Post-Minkowskian Effective Field Theory
• Type D Spacetimes and the Weyl Double Copy
• Spinning particles, axion radiation, and the classical double copy
• SUSY in the Sky with Gravitons
• The self-dual classical double copy, and the Eguchi-Hanson instanton
• Bound states and the classical double copy
• One-loop Gravitational Bremsstrahlung and Waveforms from a Heavy-Mass Effective Field Theory
• Gravity as Gauge Theory Squared: A Ghost Story
• Compton Black-Hole Scattering for $s\le 5/2$
• 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
• From amplitudes to gravitational radiation with cubic interactions and tidal effects
• The Sub-Leading Scattering Waveform from Amplitudes
• Kerr-Schild Double Field Theory and Classical Double Copy
• The 2PM Hamiltonian for binary Kerr to quartic in spin
• Inelastic Exponentiation and Classical Gravitational Scattering at One Loop
• A new gauge-invariant double copy for heavy-mass effective theory
• Classical Solutions and their Double Copy in Split Signature
• 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
• 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
• The convolutional double copy: a case study with a point
• Classical Yang-Mills observables from amplitudes
• Gravitational radiation from the classical spinning double copy
• The pure BRST Einstein-Hilbert Lagrangian from the double-copy to cubic order
• Classical and quantum double copy of back-reaction
• Gravitational bremsstrahlung from spinning binaries in the post-Minkowskian expansion
• The double copy for heavy particles
• Kerr-Newman from Minimal Coupling
• On the Double Copy for Spinning Matter
• Off-Shell Color-Kinematics Duality for Chern-Simons
• Classical double copy at null infinity
• Angular momentum of zero-frequency gravitons
• Classical Double Copy of Worldline Quantum Field Theory
• Monopoles, shockwaves and the classical double copy
• Infrared Divergences and the Eikonal Exponentiation
• Gravitational shock waves and scattering amplitudes
• Gravitational Bremsstrahlung with tidal effects in the post-Minkowskian expansion
• Heterotic Kerr-Schild Double Field Theory and Classical Double Copy
• Strings, extended objects, and the classical double copy
• New heavenly double copies
• Massive Gravity from Double Copy
• UV considerations on scattering amplitudes in a web of theories
• The Radiative Double Copy for Einstein-Yang-Mills Theory
• The Double Copy of Massive Scalar-QCD
• Four-graviton scattering to three loops in $\mathcal{N}=8$ supergravity
• Loop-Level Double-Copy for Massive Quantum Particles
• Spinning waveforms from KMOC at leading order
• Kerr-Schild Double Copy of the Coulomb Solution in Three Dimensions
• Scattering Amplitudes and the Double Copy in Topologically Massive Theories
• Efficient Calculation of Crossing Symmetric BCJ Tree Numerators
• Alternative formulations of the twistor double copy
• Classical double copy from Color Kinematics duality: A proof in the soft limit
• Black Holes in Klein Space
• The double copy of the multipole expansion
• Graviton particle statistics and coherent states from classical scattering amplitudes
• Angular Momentum Loss Due to Tidal Effects in the Post-Minkowskian Expansion
• Why is the Weyl double copy local in position space?
• Non-perturbative aspects of the self-dual double copy
• Radiation of scalar modes and the classical double copy
• Gauge $\times$ Gauge on Spheres
• Geodesics From Classical Double Copy
• Light-ray operators, detectors and gravitational event shapes
• Soft Radiation from Scattering Amplitudes Revisited
• Isometries and the double copy
• Shift symmetries, soft limits, and the double copy beyond leading order
• Gravitational Scattering and Beyond from Extreme Mass Ratio Effective Field Theory
• More on the Classical Double Copy in Three Spacetime Dimensions
• Post-Newtonian Waveforms from Spinning Scattering Amplitudes
• Spinor-helicity and the algebraic classification of higher-dimensional spacetimes
• Observables from classical black hole scattering in Scalar-Tensor theory of gravity from worldline quantum field theory
• Generalized Black Holes in 3D Kerr-Schild Double Copy
• Binary Dynamics from Worldline QFT for Scalar-QED
• Large Gauge Effects and the Structure of Amplitudes
• Extracting Einstein from the Loop-Level Double-Copy
• Black Hole Horizons from the Double Copy
• Gluon helicity flip in a plane wave background
• The classical double copy in curved spacetimes: Perturbative Yang-Mills from the bi-adjoint scalar
• Double-copy towards supergravity inflation with $\alpha$-attractor models
• A spinorial double copy for $\mathcal{N}=0$ supergravity
• Spin supplementary condition in quantum field theory: covariant SSC and physical state projection
• A scattering amplitudes approach to hard thermal loops
• Aspects of High Energy Scattering
• Next-to-eikonal corrected double graviton dressing and gravitational wave observables at $\mathcal{O}(G^2)$
• Waveforms from Amplitudes
• Next-to-MHV Yang-Mills kinematic algebra
• On the classical limit of the (sub)${}^n$-leading soft graviton theorems in $D=4$ without deflection
• The Weyl double copy from twistor space
• Scrambling and Entangling Spinning Particles
• Slowly rotating charges from Weyl double copy for Kerr black hole with Chern-Simons correction
• Yang-Mills observables: from KMOC to eikonal through EFT
• The Kerr-Schild Double Copy in Lifshitz Spacetime
• NS-NS Spacetimes from Amplitudes