Second post-Newtonian order radiative dynamics of inspiralling compact binaries in the Effective Field Theory approach

TL;DR

This paper employs the Effective Field Theory approach to compute second post-Newtonian order radiative dynamics of inspiralling compact binaries, providing essential components for future higher-order gravitational wave modeling.

Contribution

It introduces the calculation of the 2PN corrections to the mass quadrupole moment and equations of motion within the EFT framework, serving as foundational work for advanced gravitational wave analysis.

Findings

Derived 2PN corrections to mass quadrupole moment.

Computed equations of motion at 2PN order.

Provided stress-energy pseudo-tensor components for higher PN orders.

Abstract

We use the Effective Field Theory (EFT) framework to compute the mass quadrupole moment, the equation of motion, and the power loss of inspiralling compact binaries at the second order in the Post-Newtonian (PN) approximation. We present expressions for the stress-energy pseudo-tensor components of the binary system in higher PN orders. The 2PN correction to the mass quadrupole moment as well as to the acceleration computed in the linearized harmonic gauge presented here are the ingredients needed for the calculation of the next-to-next-to leading order radiation reaction force, which will be presented elsewhere. While this paper reproduces known results, it supplies the building blocks necessary for future higher order calculations in the EFT methodology.