Compton Black-Hole Scattering for $s\le 5/2$

Abstract

Quantum scattering amplitudes for massive matter have received new attention in connection to classical calculations relevant to gravitational-wave physics. Amplitude methods and insights are now employed for precision computations of observables needed for describing the gravitational dynamics of bound massive objects such as black holes. An important direction is the inclusion of spin effects needed to accurately describe rotating (Kerr) black holes. Higher-spin amplitudes introduced by Arkani-Hamed, Huang and Huang at three points have by now a firm connection to the effective description of Kerr black-hole physics. The corresponding Compton higher-spin amplitudes remain however an elusive open problem. Here we draw from results of the higher-spin literature and show that physical insights can be used to uniquely fix the Compton amplitudes up to spin 5/2, by imposing a constraint on a three-point higher-spin current that is a necessary condition for the existence of an underlying unitary theory. We give the unique effective Lagrangians up to spin $5/2$, and show that they reproduce the previously-known amplitudes. For the multi-graviton amplitudes analogous to the Compton amplitude, no further corrections to our Lagrangians are expected, and hence such amplitudes are uniquely predicted. As an essential tool, we introduce a modified version of the massive spinor-helicity formalism which allows us to conveniently obtain higher-spin states, propagators and compact expressions for the amplitudes.

45 pages, plus appx. and refs, v2: minor correction on classical limit, reference added

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Cited by in corpus (45)

• One-loop Gravitational Bremsstrahlung and Waveforms from a Heavy-Mass Effective Field Theory
• Binary Dynamics Through the Fifth Power of Spin at $\mathcal{O}(G^2)$
• Conservative and radiative dynamics of spinning bodies at third post-Minkowskian order using worldline quantum field theory
• Classical gravitational spinning-spinless scattering at $\mathcal{O}(G^2{S}^{\infty })$
• The 2PM Hamiltonian for binary Kerr to quartic in spin
• Conservative Binary Dynamics with a Spinning Black Hole at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• Resummed spinning waveforms from five-point amplitudes
• Linear Response, Hamiltonian and Radiative Spinning Two-Body Dynamics
• Off-Shell Color-Kinematics Duality for Chern-Simons
• Scattering Angles in Kerr Metrics
• Classical Spin Gravitational Compton Scattering
• Classical Limit of Higher-Spin String Amplitudes
• Gravitational Faraday effect from on-shell amplitudes
• Spinning waveforms from KMOC at leading order
• Scattering of gravitational waves off spinning compact objects with an effective worldline theory
• Recursion in the classical limit and the neutron-star Compton amplitude
• Chiral approach to massive higher spins
• Amplitude bases in generic EFTs
• 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
• Observables from the Spinning Eikonal
• Spinning Black Hole Scattering at $\mathcal{O}(G^3{S}^2)$: Casimir Terms, Radial Action and Hidden Symmetry
• Classical off-shell currents
• First Look at Quartic-in-Spin Binary Dynamics at Third Post-Minkowskian Order
• Large Gauge Effects and the Structure of Amplitudes
• Scattering Amplitudes and N-Body Post-Minkowskian Hamiltonians in General Relativity and Beyond
• Spinor-helicity formalism for massive and massless amplitudes in five dimensions
• Quantum corrections to frame-dragging in scattering amplitudes
• Covariant actions and propagators for all spins, masses, and dimensions
• Spin supplementary condition in quantum field theory: covariant SSC and physical state projection
• Charged test-particle scattering and effective one-body metrics with spin
• The spinning self-force EFT: 1SF waveform recursion relation and Compton scattering
• Celestial self-dual Yang-Mills theory: a new formula and the OPE limit
• Massive spin three-half field in a constant electromagnetic background
• Consistent actions for massive particles interacting with electromagnetism and gravity
• The gravitational Compton amplitude from flat and curved spacetimes at second post-Minkowskian order
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• On massive higher spins and gravity. I. Spin 5/2
• Dynamics for Super-Extremal Kerr Binary Systems at $\mathcal{O}(G^2)$
• An SZ-Like Effect on Cosmological Gravitational Wave Backgrounds
• Dynamical Love Numbers for Black Holes and Beyond from Shell Effective Field Theory
• Loop Amplitudes in the Coulomb Branch of $\mathcal{N}=4$ Super-Yang-Mills Theory
• Classical string profile for a class of DDF amplitudes