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General Relativity and Quantum Cosmology, gr-qc
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
