A tale of tails through generalized unitarity

Abstract

We introduce a novel framework to study high-order gravitational effects on a binary from the scattering of its emitted gravitational radiation. Here we focus on the radiation-reaction due to the background of the binary's gravitational potential, namely on the so-called tail effects, as the starting point to this type of scattering effects. We start from the effective field theory of a binary composite-particle. Through multi-loop and generalized-unitarity methods, we derive the causal effective actions of the dynamical multipoles, the energy spectra, and the observable flux, due to these effects. We proceed through the third subleading such radiation-reaction effect, at the four-loop level and seventh order in post-Newtonian gravity, shedding new light on the higher-order effects, and pushing the state of the art.

9 pp, 3 figures, published

References in corpus (6)

• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• D-dimensional unitarity cut method
• Next-to-leading order gravitational spin-orbit coupling in an effective field theory approach
• Gravitational Waves from a Particle in Circular Orbits around a Schwarzschild Black Hole to the 22nd Post-Newtonian Order
• The fifth-order post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach: potential contributions
• Gravitational-wave tail effects to quartic non-linear order

Cited by in corpus (8)

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• N${}^3$LO Quadratic-in-Spin Interactions for Generic Compact Binaries
• Large Gauge Effects and the Structure of Amplitudes
• From the EFT of Spinning Gravitating Objects to Poincaré and Gauge Invariance at the 4.5PN Precision Frontier
• Virtues of a symmetric-structure double copy
• Radiation Reaction for Non-Spinning Bodies at 4.5PN in the Effective Field Theory Approach
• Higher-order tails and RG flows due to scattering of gravitational radiation from binary inspirals
• Entire Four-Graviton EFT from the Duality Between Color and Kinematics