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arXiv · 2406.03457

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

Loris Amalberti·Zixin Yang·Rafael A. Porto
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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.

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Loris Amalberti, Zixin Yang, Rafael A. Porto. 2024-06-05. Gravitational radiation from inspiralling compact binaries to N$^3$LO in the Effective Field Theory approach. https://doi.org/10.1103/physrevd.110.044046

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