Gravitational radiation from inspiralling compact binaries to N${}^3$LO in the Effective Field Theory approach

Abstract

Within the context of the Effective Field Theory (EFT) framework to gravitational dynamics, we compute the Hamiltonian, source quadrupole moment, and gravitational-wave energy flux for (non-spinning) inspiralling compact binaries at next-to-next-to-next-to leading order (N${}^3$LO) in the Post-Newtonian (PN) expansion. We use the recently developed $d$-dimensional multipole-expanded effective theory, and explicitly perform the matching to the (pseudo-) stress-energy tensor. The calculation involves Feynman integrals up to three- (conservative) and two-loop (radiative) orders, evaluated within dimensional regularization. Our (ambiguity-free) results confirm (for the first time) the value of the gravitational-wave flux for quasi-circular orbits at 3PN order, while paving the way forward to the inclusion of spin effects as well as higher order computations.

18 pages, 9 figures, 1 computer-readable ancillary file. v2: typos corrected, ancillary file updated, published version

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• The Science of the Einstein Telescope
• Schott term in the binding energy for compact binaries on circular orbits at fourth post-Newtonian order
• Radiating Love: adiabatic tidal fluxes and modes up to next-to-next-to-leading post-Newtonian order
• Post-Newtonian Dynamics of Spinning Black Hole Binaries in Einstein-Scalar-Gauss-Bonnet Gravity
• On the classical limit of the (sub)${}^n$-leading soft graviton theorems in $D=4$ without deflection