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.

arXiv comment9 pp, 3 figures, published

References in corpus (30)

• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
• Generalized Unitarity and One-Loop Amplitudes in N=4 Super-Yang-Mills
• An Effective Field Theory of Gravity for Extended Objects
• Amplitudes, Observables, and Classical Scattering
• From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion
• FIRE6: Feynman Integral REduction with Modular Arithmetic
• General Relativity from Scattering Amplitudes
• The classical mechanics of non-conservative systems
• Effective Field Theories of Post-Newtonian Gravity: A comprehensive review
• D-dimensional unitarity cut method
• Gravitational radiative corrections from effective field theory
• Gravitational-wave tails of tails
• Energy losses by gravitational radiation in inspiralling compact binaries to five halves post-Newtonian order
• Novel approach to binary dynamics: application to the fifth post-Newtonian level
• The tail effect in gravitational radiation-reaction: time non-locality and renormalization group evolution
• Binary dynamics at the fifth and fifth-and-a-half post-Newtonian orders
• Gravitational Waves by a Particle in Circular Orbits around a Schwarzschild black hole -5.5 Post-Newtonian Formula-
• 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
• Radiation reaction and gravitational waves in the effective field theory approach
• Multipole expansion at the level of the action
• 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
• Radiation reaction at 3.5 post-Newtonian order in effective field theory
• Logarithmic tail contributions to the energy function of circular compact binaries
• Tail contributions to gravitational conservative dynamics

Cited by in corpus (8)

• Completing the Fifth PN Precision Frontier via the EFT of Spinning Gravitating Objects
• 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