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

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arxiv 2412.01706 v2 pith:Q5N7SJ3I submitted 2024-12-02 gr-qc

Manoj K. Mandal , Pierpaolo Mastrolia , Raj Patil , Jan Steinhoff This is my paper · ORCID
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keywords evaluationgravitationalorbitsangularenergyfluxfluxesgeneric
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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

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Dynamical Love Numbers for Black Holes and Beyond from Shell Effective Field Theory

    hep-th 2025-12 accept novelty 8.0 of 10

    A shell-based EFT computes scalar Love numbers for Schwarzschild black holes through O(G^9) and conjectures an all-orders Riemann-zeta structure.

  2. Tidal contributions to the full gravitational waveform to the second-and-a-half post-Newtonian order

    gr-qc 2024-12 conditional novelty 7.0 of 10

    Tidal contributions to all gravitational waveform amplitude modes up to l=7 are derived to 2.5PN for quasi-circular non-spinning compact binaries, with flux and phasing provided at the same order.

  3. Data-driven approach for extracting tidal information from neutron star binary mergers observed with the Einstein Telescope

    gr-qc 2025-01 conditional novelty 6.0 of 10

    A simulation study showing that the tidal phase of neutron-star mergers can be inferred directly from Einstein Telescope data by fitting six free polynomial coefficients and combining posteriors across events.

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