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

Amalberti, Loris; Porto Pereira, Rafael Alejandro; Yang, Zixin

Preprint

PUBDB-2024-01902

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

Amalberti, L. (Corresponding author)Extern*DESY* ; Yang, Z.DESY* ; Porto Pereira, R. A.DESY*

2024

[10.3204/PUBDB-2024-01902]

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Please use a persistent id in citations: doi:10.3204/PUBDB-2024-01902

Report No.: DESY-24-084; arXiv:2406.03457

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), corresponding to the third Post-Newtonian (3PN) order. We use the recently developed $d$-dimensional multipole-expanded effective theory, and explicitly perform the matching to the (pseudo-) stress-energy tensor. The computations involve 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, while paving the way forward to the inclusion of spin effects as well as higher order computations.

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