Radiation Reaction and Gravitational Waves at Fourth Post-Minkowskian Order

Abstract

We obtain the total impulse in the scattering of non-spinning binaries in general relativity at fourth Post-Minkowskian order, i.e. $\mathcal{O}(G^4)$, including linear, nonlinear, and hereditary radiation-reaction effects. We derive the total radiated spacetime momentum as well as the associated energy flux. The latter can be used to compute gravitational-wave observables for generic (un)bound orbits. We employ the ("in-in") Schwinger-Keldysh worldline effective field theory framework in combination with modern "multi-loop" integration techniques from collider physics. The complete results are in agreement with various partial calculations in the Post-Newtonian/Minkowskian expansion.

6 pages + Refs + Supplemental. 1 figure and 1 table. 1 computer-readable ancillary file

References in corpus (40)

• Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
• Gravitational scattering, post-Minkowskian approximation and Effective One-Body theory
• Scattering Amplitudes and Conservative Binary Dynamics at $\mathcal{O}(G^4)$
• Reducing differential equations for multiloop master integrals
• Classical Gravitational Bremsstrahlung from a Worldline Quantum Field Theory
• Scattering Amplitudes, the Tail Effect, and Conservative Binary Dynamics at $O(G^4)$
• 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
• Radiative contribution to classical gravitational scattering at the third order in $G$
• Conservative Dynamics of Binary Systems at Fourth Post-Minkowskian Order in the Large-eccentricity Expansion
• Expansion by regions: revealing potential and Glauber regions automatically
• Gravitational spin Hamiltonians from the S matrix
• Gravitational Bremsstrahlung in the Post-Minkowskian Effective Field Theory
• The Tune of Love and the Nature(ness) of Spacetime
• Spin Effects in the Effective Field Theory Approach to Post-Minkowskian Conservative Dynamics
• SUSY in the Sky with Gravitons
• The dynamics of the gravitational two-body problem at fourth post-Newtonian order and at quadratic order in the Newton constant
• Radiative contributions to gravitational scattering
• Radiation-Reaction in the Effective Field Theory Approach to Post-Minkowskian Dynamics
• FIESTA5: numerical high-performance Feynman integral evaluation
• Libra: a package for transformation of differential systems for multiloop integrals
• Conservative and radiative dynamics of spinning bodies at third post-Minkowskian order using worldline quantum field theory
• Radiated Angular Momentum and Dissipative Effects in Classical Scattering
• Classical gravitational spinning-spinless scattering at $\mathcal{O}(G^2{S}^{\infty })$
• Infrared features of gravitational scattering and radiation in the eikonal approach
• Conservative Binary Dynamics with a Spinning Black Hole at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
• The fifth-order post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach
• Four-loop quark form factor with quartic fundamental colour factor
• Gravitational bremsstrahlung from spinning binaries in the post-Minkowskian expansion
• Introductory lectures on the Effective One Body formalism
• Radiated momentum and radiation-reaction in gravitational two-body scattering including time-asymmetric effects
• Gravitational Bremsstrahlung with tidal effects in the post-Minkowskian expansion
• Higher-order tail contributions to the energy and angular momentum fluxes in a two-body scattering process
• Gravitational radiation contributions to the two-body scattering angle
• Third order post-Newtonian gravitational radiation from two-body scattering: Instantaneous energy and angular momentum radiation
• Third post-Newtonian gravitational radiation from two-body scattering II. Hereditary Energy radiation
• Momentum recoil in the relativistic two-body problem: higher-order tails
• Classical gravitational scattering from a gauge-invariant double copy
• Multipolar invariants and the eccentricity enhancement function parametrization of gravitational radiation

Cited by in corpus (62)

• One-loop Gravitational Bremsstrahlung and Waveforms from a Heavy-Mass Effective Field Theory
• The Science of the Einstein Telescope
• Inelastic Exponentiation and Classical Gravitational Scattering at One Loop
• Emergence of Calabi-Yau manifolds in high-precision black hole scattering
• Classical Gravitational Observables from the Eikonal Operator
• Strong-field scattering of two black holes: Numerical Relativity meets Post-Minkowskian gravity
• Resummed spinning waveforms from five-point amplitudes
• Effective Field Theory for Extreme Mass Ratios
• Comparison of post-Minkowskian and self-force expansions: Scattering in a scalar charge toy model
• An algorithmic approach to finding canonical differential equations for elliptic Feynman integrals
• Classical Spin Gravitational Compton Scattering
• Spinning waveforms from KMOC at leading order
• Unveiling the merger structure of black hole binaries in generic planar orbits
• Calabi-Yau meets Gravity: A Calabi-Yau three-fold at fifth post-Minkowskian order
• Worldline effective field theory of inspiralling black hole binaries in presence of dark photon and axionic dark matter
• 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
• Boundary to bound dictionary for generic Kerr orbits
• Symbol Alphabets from the Landau Singular Locus
• Post-Minkowskian Theory Meets the Spinning Effective-One-Body Approach for Two-Body Scattering
• Observables from the Spinning Eikonal
• Gravitational Scattering and Beyond from Extreme Mass Ratio Effective Field Theory
• Gravitational Bound Waveforms from Amplitudes
• Scattering and dynamical capture of two black holes: synergies between numerical and analytical methods
• A Rutherford-like formula for scattering off Kerr-Newman BHs and subleading corrections
• Observables from classical black hole scattering in Scalar-Tensor theory of gravity from worldline quantum field theory
• Classifying post-Minkowskian geometries for gravitational waves via loop-by-loop Baikov
• Large Gauge Effects and the Structure of Amplitudes
• Black hole scattering near the transition to plunge: Self-force and resummation of post-Minkowskian theory
• Spin supplementary condition in quantum field theory: covariant SSC and physical state projection
• Radiation eikonal for post-Minkowskian observables
• Wave scattering event shapes at high energies
• Strong Field Scattering of Black Holes: Assessing Resummation Strategies
• Conservative Scattering of Reissner-Nordström Black Holes at Third Post-Minkowskian Order
• Highly accurate simulations of asymmetric black-hole scattering and cross validation of effective-one-body models
• Classification of Feynman integral geometries for black-hole scattering at 5PM order
• Higher-order tails and RG flows due to scattering of gravitational radiation from binary inspirals
• Effective metric of spinless binaries with radiation-reaction effect up to fourth Post-Minkowskian order in effective-one-body theory
• Next-to-eikonal corrected double graviton dressing and gravitational wave observables at $\mathcal{O}(G^2)$
• The gravitational Compton amplitude from flat and curved spacetimes at second post-Minkowskian order
• Classical Observables using Exponentiated Spin factors: Electromagnetic Scattering
• Spinning waveforms of scalar radiation in quadratic modified gravity
• Testing the Boundary-to-Bound Correspondence with Numerical Relativity
• Machine Learning Post-Minkowskian Integrals
• Gravitational radiation from hyperbolic orbits: comparison between self-force, post-Minkowskian, post-Newtonian, and numerical relativity results
• Energy flux and waveforms by coalescing spinless binary system in effective one-body theory
• Conservative Dynamics of Relativistic Binaries Beyond Einstein Gravity
• The first law of binary black hole scattering
• On the classical limit of the (sub)${}^n$-leading soft graviton theorems in $D=4$ without deflection
• Gravitational scattering of two neutron stars
• Strong Field Scattering of Two Black Holes: Exploring Gauge Flexibility
• Dynamics for Super-Extremal Kerr Binary Systems at $\mathcal{O}(G^2)$
• Dynamical Love Numbers for Black Holes and Beyond from Shell Effective Field Theory
• Black-hole scattering with numerical relativity: Self-force extraction and post-Minkowskian validation
• Resummed energy loss in extreme-mass-ratio scattering using critical orbits
• On-shell approach to scalar hair in spinning binaries
• Analytic structure of the high-energy gravitational amplitude: multi-H diagrams and classical 5PM logarithms
• Double soft graviton factors from the gravitational Wilson line
• In-in worldline formalism in pair creating fields
• Effective-one-body formalism for leading-order radiative effects in the post-linear framework
• Tropical Feynman integration in the physical region