Gravitational radiation from inspiralling compact binaries completed at the third post-Newtonian order

TL;DR

This paper computes gravitational radiation from inspiralling compact binaries at the third post-Newtonian order, resolving previous ambiguities and completing the theoretical prediction crucial for gravitational wave detection.

Contribution

It determines the ambiguity parameters in the 3PN source model using dimensional regularization, completing the 3.5PN order prediction for binary inspiral gravitational waves.

Findings

Ambiguity parameters xi, kappa, zeta precisely determined

Complete 3.5PN order gravitational wave prediction achieved

Results aid gravitational wave signal analysis

Abstract

The gravitational radiation from point particle binaries is computed at the third post-Newtonian (3PN) approximation of general relativity. Three previously introduced ambiguity parameters, coming from the Hadamard self-field regularization of the 3PN source-type mass quadrupole moment, are consistently determined by means of dimensional regularization, and proved to have the values xi = -9871/9240, kappa = 0 and zeta = -7/33. These results complete the derivation of the general relativistic prediction for compact binary inspiral up to 3.5PN order, and should be of use for searching and deciphering the signals in the current network of gravitational wave detectors.