Gravitational Bremsstrahlung with tidal effects in the post-Minkowskian expansion

Abstract

We compute the mass and current quadrupole tidal corrections to the four-momentum and energy flux radiated during the scattering of two spinless bodies, at leading order in $G$ and at all orders in the velocities, using the effective field theory worldline approach. In particular, we derive the conserved stress-energy tensor linearly coupled to gravity generated by the two bodies, including tidal fields, and the waveform in direct space. The integral is solved using scattering amplitude techniques. We show that our expressions are consistent with existing results up to the next-to-next-to-leading order in the post-Newtonian expansion.

arXiv comment11 pages and 1 figure, updated with computation of the energy flux. Ancillary file updated. Typos corrections, add eq. (28) and some references

References in corpus (114)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Testing General Relativity with Present and Future Astrophysical Observations
• Tidal Love numbers of neutron stars
• Constraining neutron star tidal Love numbers with gravitational wave detectors
• Higgs boson production at hadron colliders in NNLO QCD
• Tidal deformability of neutron stars with realistic equations of state and their gravitational wave signatures in binary inspiral
• Multiloop integrals in dimensional regularization made simple
• Differential Equations for Two-Loop Four-Point Functions
• Testing the nature of dark compact objects: a status report
• Relativistic tidal properties of neutron stars
• Relativistic theory of tidal Love numbers
• Black holes, gravitational waves and fundamental physics: a roadmap
• An Effective Field Theory of Gravity for Extended Objects
• Binary neutron-star mergers: a review of Einstein's richest laboratory
• LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals
• Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
• Measurability of the tidal polarizability of neutron stars in late-inspiral gravitational-wave signals
• Amplitudes, Observables, and Classical Scattering
• Black Hole Binary Dynamics from the Double Copy and Effective Theory
• The Effective Field Theorist's Approach to Gravitational Dynamics
• From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion
• Prospects for Fundamental Physics with LISA
• Systematic parameter errors in inspiraling neutron star binaries
• Post-1-Newtonian tidal effects in the gravitational waveform from binary inspirals
• Gravitational scattering, post-Minkowskian approximation and Effective One-Body theory
• Dimensionally Regulated One-Loop Integrals
• Lectures on differential equations for Feynman integrals
• High-energy gravitational scattering and the general relativistic two-body problem
• General Relativity from Scattering Amplitudes
• Dilepton rapidity distribution in the Drell-Yan process at NNLO in QCD
• Effective One Body description of tidal effects in inspiralling compact binaries
• Post-Minkowskian Effective Field Theory for Conservative Binary Dynamics
• Dynamical Tides in General Relativity: Effective Action and Effective-One-Body Hamiltonian
• Conservative Dynamics of Binary Systems to Third Post-Minkowskian Order from the Effective Field Theory Approach
• Classical Space-Times from the S Matrix
• Effective Field Theories of Post-Newtonian Gravity: A comprehensive review
• Radiation and the classical double copy for color charges
• Classical black hole scattering from a worldline quantum field theory
• Scattering Amplitudes and Conservative Binary Dynamics at $\mathcal{O}(G^4)$
• From Boundary Data to Bound States
• Spinning Black Hole Binary Dynamics, Scattering Amplitudes and Effective Field Theory
• Classical and quantum scattering in post-Minkowskian gravity
• On-shell Techniques and Universal Results in Quantum Gravity
• Scattering Amplitudes, the Tail Effect, and Conservative Binary Dynamics at $O(G^4)$
• Classical Gravitational Bremsstrahlung from a Worldline Quantum Field Theory
• Black hole stereotyping: Induced gravito-static polarization
• Dissipative Effects in the Worldline Approach to Black Hole Dynamics
• The Eikonal Approach to Gravitational Scattering and Radiation at $\mathcal{O}(G^3)$
• Dynamics of Binary Systems to Fourth Post-Minkowskian Order from the Effective Field Theory Approach
• On Post-Minkowskian Hamiltonians in General Relativity
• Radiative contribution to classical gravitational scattering at the third order in $G$
• On-shell heavy particle effective theories
• From Boundary Data to Bound States II: Scattering Angle to Dynamical Invariants (with Twist)
• A Post-Newtonian diagnostic of quasi-equilibrium binary configurations of compact objects
• Extremal black hole scattering at O(G^3): graviton dominance, eikonal exponentiation, and differential equations
• Effective action approach to higher-order relativistic tidal interactions in binary systems and their effective one body description
• Conservative Dynamics of Binary Systems at Fourth Post-Minkowskian Order in the Large-eccentricity Expansion
• Inelastic Black Hole Scattering from Charged Scalar Amplitudes
• Energetics of two-body Hamiltonians in post-Minkowskian gravity
• Universality of ultra-relativistic gravitational scattering
• Gravitational Bremsstrahlung from Reverse Unitarity
• Spinning-black-hole scattering and the test-black-hole limit at second post-Minkowskian order
• Radiation Reaction from Soft Theorems
• Gravitational Bremsstrahlung and Hidden Supersymmetry of Spinning Bodies
• Gravitational radiation reaction along general orbits in the effective one-body formalism
• Conservative Tidal Effects in Compact Binary Systems to Next-to-Leading Post-Minkowskian Order
• Gravitational Collider Physics
• Gravitational Bremsstrahlung in the Post-Minkowskian Effective Field Theory
• Spin Effects in the Effective Field Theory Approach to Post-Minkowskian Conservative Dynamics
• Effective field theory methods to model compact binaries
• SUSY in the Sky with Gravitons
• Iterative structure of finite loop integrals
• Universality in the classical limit of massless gravitational scattering
• 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
• Bound states and the classical double copy
• On an Exponential Representation of the Gravitational S-Matrix
• Classical Gravity from Loop Amplitudes
• Radiative contributions to gravitational scattering
• First-post-Newtonian quadrupole tidal interactions in binary systems
• Interpreting Binary Neutron Star Mergers: Describing the Binary Neutron Star Dynamics, Modelling Gravitational Waveforms, and Analyzing Detections
• Second-order Post-Minkowskian scattering in arbitrary dimensions
• Eikonal phase matrix, deflection angle and time delay in effective field theories of gravity
• Leading Nonlinear Tidal Effects and Scattering Amplitudes
• Gravitational self-force corrections to two-body tidal interactions and the effective one-body formalism
• Conservative and radiative dynamics of spinning bodies at third post-Minkowskian order using worldline quantum field theory
• Soft Expansion of Double-Real-Virtual Corrections to Higgs Production at N${}^3$LO
• From amplitudes to gravitational radiation with cubic interactions and tidal effects
• Gravitational spin-orbit coupling in binary systems at the second post-Minkowskian approximation
• Gravitational spin-orbit coupling in binary systems, post-Minkowskian approximation and effective one-body theory
• Non-conservative effects on Spinning Black Holes from World-Line Effective Field Theory
• NLO Higgs boson rapidity distribution at hadron colliders
• A tale of two exponentiations in $\mathcal{N}=8$ supergravity
• Tidal effects in the gravitational-wave phase evolution of compact binary systems to next-to-next-to-leading post-Newtonian order
• A tale of two exponentiations in $\mathcal{N}=8$ supergravity at subleading level
• Tidal effects in quantum field theory
• Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
• Scattering of tidally interacting bodies in post-Minkowskian gravity
• Mining the Geodesic Equation for Scattering Data
• Gravitational radiation from inspiralling compact objects: Spin-spin effects completed at the next-to-leading post-Newtonian order
• From Boundary Data to Bound States III: Radiative Effects
• Tidal effects in the equations of motion of compact binary systems to next-to-next-to-leading post-Newtonian order
• Strings, extended objects, and the classical double copy
• Horizon radiation reaction forces
• Gravitating binaries at 5PN in the post-Minkowskian approximation
• Gravitational self-force in the ultra-relativistic limit: The 'large-N' expansion
• Three-Body Effective Potential in General Relativity at Second Post-Minkowskian Order and Resulting Post-Newtonian Contributions
• Hamiltonian for tidal interactions in compact binary systems to next-to-next-to-leading post-Newtonian order
• Gravitational self-force corrections to tidal invariants for spinning particles on circular orbits in a Schwarzschild spacetime
• Gravitational self-force corrections to tidal invariants for particles on eccentric orbits in a Schwarzschild spacetime
• Half-solution to the two-body problem in General Relativity
• Gravitational self-force corrections to tidal invariants for particles on circular orbits in a Kerr spacetime

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