Radiating Love: adiabatic tidal fluxes and modes up to next-to-next-to-leading post-Newtonian order

TL;DR

This paper analytically evaluates gravitational energy and angular momentum fluxes with tidal effects for inspiraling compact binaries at 2PN order, improving theoretical models and waveform predictions for gravitational wave detection.

Contribution

It provides the first comprehensive 2PN order calculation of tidal fluxes and modes using an effective field theory approach for generic orbits.

Findings

Derived gauge-invariant flux expressions for generic orbits.

Presented mode amplitudes and phases for circular orbits.

Enhanced waveform models for gravitational wave analysis.

Abstract

We present the analytic evaluation of the gravitational energy and of the angular momentum flux with tidal effects for inspiraling compact binaries, at next-to-next-to-leading post-Newtoian (2PN) order, within the effective field theory diagrammatic approach. We first compute the stress-energy tensor for a binary system, that requires the evaluation of two-point Feynman integrals, up to two loops. Then, we extract the multipole moments of the system, which we present for generic orbits in center-of-mass coordinates, and which are needed for the evaluation of the total gravitational energy and the angular momentum flux, for generic orbits. Finally, we provide the expression of gauge invariant quantities such as the fluxes, and the mode amplitudes and phase of the emitted gravitational wave, for circular orbits. Our findings are useful to update earlier theoretical studies as well as related phenomenological analyses, and waveform models