Post-Minkowskian Radial Action from Soft Limits and Velocity Cuts
arXiv:2111.02976 · doi:10.1007/JHEP03(2022)071
Abstract
We consider gravitational massive scalar-scalar scattering from unitarity and demonstrate how intermediate soft graviton behavior and the concept of extracting classical physics from localization of integrands on velocity cuts devise an efficient extraction scheme for computing the classical post-Minkowskian radial action perturbatively. We demonstrate the computational efficiency by deriving the scattering amplitudes in the probe regime to the fifth post-Minkowskian order in arbitrary dimensions.
34 pages. 5 figures. v3: Reorganized section 4 for better readability, and other various minor corrections. Version to appear in JHEP
References in corpus (59)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
- General relativity as an effective field theory: The leading quantum corrections
- Scattering of Massless Particles in Arbitrary Dimension
- Leading Quantum Correction to the Newtonian Potential
- 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
- Scattering of Massless Particles: Scalars, Gluons and Gravitons
- Amplitudes, Observables, and Classical Scattering
- Black Hole Binary Dynamics from the Double Copy and Effective Theory
- From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion
- Quantum Gravitational Corrections to the Nonrelativistic Scattering Potential of Two Masses
- Scattering Equations and KLT Orthogonality
- Gravitational scattering, post-Minkowskian approximation and Effective One-Body theory
- High-energy gravitational scattering and the general relativistic two-body problem
- General Relativity from Scattering Amplitudes
- The Momentum Kernel of Gauge and Gravity Theories
- Classical Space-Times from the S Matrix
- Scattering Amplitudes and Conservative Binary Dynamics at
- From Boundary Data to Bound States
- Quantum Corrections to the Schwarzschild and Kerr Metrics
- Observables and amplitudes for spinning particles and black holes
- On-shell Techniques and Universal Results in Quantum Gravity
- Einstein-Yang-Mills Scattering Amplitudes From Scattering Equations
- On Post-Minkowskian Hamiltonians in General Relativity
- Extremal black hole scattering at O(G^3): graviton dominance, eikonal exponentiation, and differential equations
- Energetics of two-body Hamiltonians in post-Minkowskian gravity
- Universality of ultra-relativistic gravitational scattering
- Gravitational Bremsstrahlung from Reverse Unitarity
- Revisiting the 2PM eikonal and the dynamics of binary black holes
- Gravitational spin Hamiltonians from the S matrix
- Classical Physics and Quantum Loops
- Universality in the classical limit of massless gravitational scattering
- Classical Gravitational Scattering at from Feynman Diagrams
- On an Exponential Representation of the Gravitational S-Matrix
- Post-Minkowskian Scattering Angle in Einstein Gravity
- Classical Gravity from Loop Amplitudes
- Complete Hamiltonian for spinning binary systems at first post-Minkowskian order
- Gravity and Yang-Mills Amplitude Relations
- Second-order Post-Minkowskian scattering in arbitrary dimensions
- Classical potential for general spinning bodies
- Proof of Gravity and Yang-Mills Amplitude Relations
- Berends-Giele recursions and the BCJ duality in superspace and components
- New BCJ representations for one-loop amplitudes in gauge theories and gravity
- Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure
- Expansion of Einstein-Yang-Mills Amplitude
- New Identities among Gauge Theory Amplitudes
- Manifesting Color-Kinematics Duality in the Scattering Equation Formalism
- Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame
- Scattering Equations and Feynman Diagrams
- Integration Rules for Scattering Equations
- Scattering Equations and String Theory Amplitudes
- The Schwarzschild-Tangherlini metric from scattering amplitudes in various dimensions
- Analytic Representations of Yang-Mills Amplitudes
- Remodeling the Effective One-Body Formalism in Post-Minkowskian Gravity
- Scattering of Gravitons and Spinning Massive States from Compact Numerators
- One-Loop Yang-Mills Integrands from Scattering Equations
- The Amplitude for Classical Gravitational Scattering at Third Post-Minkowskian Order
- Classical gravitational scattering from a gauge-invariant double copy
Cited by in corpus (9)
- The 2PM Hamiltonian for binary Kerr to quartic in spin
- Scattering Angles in Kerr Metrics
- Scalar QED as a toy model for higher-order effects in classical gravitational scattering
- Bethe-Salpeter equation for classical gravitational bound states
- Kinematic Hopf algebra for amplitudes and form factors
- Binary Dynamics from Worldline QFT for Scalar-QED
- Visions in Quantum Gravity
- Covariant color-kinematics duality, Hopf algebras and permutohedra
- Machine Learning Post-Minkowskian Integrals