Heavy Black Hole Effective Theory

Abstract

We formulate an effective field theory describing large mass scalars and fermions minimally coupled to gravity. The operators of this effective field theory are organized in powers of the transfer momentum divided by the mass of the matter field, an expansion which lends itself to the efficient extraction of classical contributions from loop amplitudes in both the post-Newtonian and post-Minkowskian regimes. We use this effective field theory to calculate the classical and leading quantum gravitational scattering amplitude of two heavy spin-1/2 particles at the second post-Minkowskian order.

arXiv comment27 pages, 2 figures, corrected typo in electromagnetic spin-orbit amplitude

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• Classical Gravitational Bremsstrahlung from a Worldline Quantum Field Theory
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• On-shell heavy particle effective theories
• Extremal black hole scattering at O(G^3): graviton dominance, eikonal exponentiation, and differential equations
• Gravitational Bremsstrahlung from Reverse Unitarity
• Gravitational Bremsstrahlung and Hidden Supersymmetry of Spinning Bodies
• Spin Effects in the Effective Field Theory Approach to Post-Minkowskian Conservative Dynamics
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• Tidal Effects in the Post-Minkowskian Expansion
• Sixth post-Newtonian nonlocal-in-time dynamics of binary systems
• Classical Gravitational Scattering at $\mathcal{O}(G^3)$ from Feynman Diagrams
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• One-loop Gravitational Bremsstrahlung and Waveforms from a Heavy-Mass Effective Field Theory
• Second-order Post-Minkowskian scattering in arbitrary dimensions
• Quadratic-in-Spin Hamiltonian at $\mathcal{O}(G^2)$ from Scattering Amplitudes
• Compton Black-Hole Scattering for $s\le 5/2$
• Conservative and radiative dynamics of spinning bodies at third post-Minkowskian order using worldline quantum field theory
• Binary Dynamics Through the Fifth Power of Spin at $\mathcal{O}(G^2)$
• A worldsheet for Kerr
• From amplitudes to gravitational radiation with cubic interactions and tidal effects
• The Sub-Leading Scattering Waveform from Amplitudes
• Classical gravitational spinning-spinless scattering at $\mathcal{O}(G^2{S}^{\infty })$
• Conservative Binary Dynamics with a Spinning Black Hole at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• Tidal effects in quantum field theory
• A new gauge-invariant double copy for heavy-mass effective theory
• Classical Solutions and their Double Copy in Split Signature
• Classical observables from coherent-spin amplitudes
• Mining the Geodesic Equation for Scattering Data
• Resummed spinning waveforms from five-point amplitudes
• Kinematic Hopf Algebra for BCJ Numerators in Heavy-Mass Effective Field Theory and Yang-Mills Theory
• Linear Response, Hamiltonian and Radiative Spinning Two-Body Dynamics
• Classical Yang-Mills observables from amplitudes
• Test black holes, scattering amplitudes and perturbations of Kerr spacetime
• The double copy for heavy particles
• On the Double Copy for Spinning Matter
• Tidal effects for spinning particles
• Gravitational shock waves and scattering amplitudes
• Exponentiation of the leading eikonal with spin
• Scattering Angles in Kerr Metrics
• Eikonal amplitudes from curved backgrounds
• Scalar QED as a toy model for higher-order effects in classical gravitational scattering
• Classical Spin Gravitational Compton Scattering
• Classical Limit of Higher-Spin String Amplitudes
• Loop-Level Double-Copy for Massive Quantum Particles
• Gravitational Faraday effect from on-shell amplitudes
• Recursion in the classical limit and the neutron-star Compton amplitude
• Amplitudes, Hopf algebras and the colour-kinematics duality
• Bethe-Salpeter equation for classical gravitational bound states
• Classical gravitational scattering at $\mathcal{O}(G^2{S}_1^{\infty }{S}_2^{\infty })$
• Angular Momentum Loss Due to Tidal Effects in the Post-Minkowskian Expansion
• Observables from the Spinning Eikonal
• Gravitational Scattering and Beyond from Extreme Mass Ratio Effective Field Theory
• Gravitational Bound Waveforms from Amplitudes
• Kinematic Hopf algebra for amplitudes and form factors
• Scattering of Gravitons and Spinning Massive States from Compact Numerators
• First Look at Quartic-in-Spin Binary Dynamics at Third Post-Minkowskian Order
• Spinning Black Hole Scattering at $\mathcal{O}(G^3{S}^2)$: Casimir Terms, Radial Action and Hidden Symmetry
• Extracting Einstein from the Loop-Level Double-Copy
• Radiative Classical Gravitational Observables at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• All-multiplicity amplitudes with four massive quarks and identical-helicity gluons
• A scattering amplitudes approach to hard thermal loops
• Charged test-particle scattering and effective one-body metrics with spin
• Covariant color-kinematics duality, Hopf algebras and permutohedra
• Waveforms from Amplitudes
• Higher-order tails and RG flows due to scattering of gravitational radiation from binary inspirals
• Spinning waveforms of scalar radiation in quadratic modified gravity
• The gravitational Compton amplitude from flat and curved spacetimes at second post-Minkowskian order
• Color-Kinematic Numerators for Fermion Compton Amplitudes
• An Effective Field Theory for Binary Cosmic Strings
• Observables and Unconstrained Spin Tensor Dynamics in General Relativity from Scattering Amplitudes
• Classical gravitational scattering from a gauge-invariant double copy
• On-shell approach to scalar hair in spinning binaries
• Massive Two-Loop Heavy Particle Diagrams
• The Radial Action from Probe Amplitudes to All Orders
• Yang-Mills observables: from KMOC to eikonal through EFT
• Classical string profile for a class of DDF amplitudes
• Graviton Photoproduction by a Kerr-Newman Black Hole with Worldline EFT
• Unexpected Symmetries of Kerr Black Hole Scattering